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Amplification of explosive width in complex networks Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-19 Pitambar Khanra, Prosenjit Kundu, Pinaki Pal, Peng Ji, Chittaranjan Hens
We present an adaptive coupling strategy to induce hysteresis/explosive synchronization in complex networks of phase oscillators (Sakaguchi–Kuramoto model). The coupling strategy ensures explosive synchronization with significant explosive width enhancement. Results show the robustness of the strategy, and the strategy can diminish (by inducing enhanced hysteresis loop) the contrarian impact of phase
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Restoring chaos using deep reinforcement learning Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-19 Sumit Vashishtha, Siddhartha Verma
A catastrophic bifurcation in non-linear dynamical systems, called crisis, often leads to their convergence to an undesirable non-chaotic state after some initial chaotic transients. Preventing such behavior has been quite challenging. We demonstrate that deep Reinforcement Learning (RL) is able to restore chaos in a transiently chaotic regime of the Lorenz system of equations. Without requiring any
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Predicting observed and hidden extreme events in complex nonlinear dynamical systems with partial observations and short training time series Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-02 Nan Chen, Andrew J. Majda
Extreme events appear in many complex nonlinear dynamical systems. Predicting extreme events has important scientific significance and large societal impacts. In this paper, a new mathematical framework of building suitable nonlinear approximate models is developed, which aims at predicting both the observed and hidden extreme events in complex nonlinear dynamical systems for short-, medium-, and long-range
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Event synchrony measures for functional climate network analysis: A case study on South American rainfall dynamics Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-02 Frederik Wolf, Jurek Bauer, Niklas Boers, Reik V. Donner
Understanding spatiotemporal patterns of climate extremes has gained considerable relevance in the context of ongoing climate change. With enhanced computational capacity, data driven methods such as functional climate networks have been proposed and have already contributed to significant advances in understanding and predicting extreme events, as well as identifying interrelations between the occurrences
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A generic method for constructingn-fold covers of 3D conservative chaotic systems Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-02 Shijian Cang, Yue Li, Zhijun Kang, Zenghui Wang
This paper reports a generic method for constructing n-fold covers of 3D conservative chaotic systems, which is derived from the theory of the generalized Hamiltonian system. Three typical example systems are constructed based on the proposed method, and their different n-fold cover chaotic flows are investigated theoretically and numerically. For each example system, the motion trajectories are both
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Fat tails and black swans: Exact results for multiplicative processes with resets Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-02 D. H. Zanette, S. Manrubia
We consider a class of multiplicative processes which, added with stochastic reset events, give origin to stationary distributions with power-law tails—ubiquitous in the statistics of social, economic, and ecological systems. Our main goal is to provide a series of exact results on the dynamics and asymptotic behavior of increasingly complex versions of a basic multiplicative process with resets, including
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Modeling the effects of sinusoidal stimulation and synaptic plasticity on linked neural oscillators Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-02 Derek M. Eidum, Craig S. Henriquez
The brain exhibits intrinsic oscillatory behavior, which plays a vital role in communication and information processing. Abnormalities in brain rhythms have been linked to numerous disorders, including depression and schizophrenia. Rhythmic electrical stimulation (e.g., transcranial magnetic stimulation and transcranial alternating current stimulation) has been used to modulate these oscillations and
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Widening the criteria for emergence of Turing patterns Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-02 Maxim Kuznetsov, Andrey Polezhaev
The classical concept for emergence of Turing patterns in reaction–diffusion systems requires that a system should be composed of complementary subsystems, one of which is unstable and diffuses sufficiently slowly while the other one is stable and diffuses sufficiently rapidly. In this work, the phenomena of emergence of Turing patterns are studied and do not fit into this concept, yielding the following
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Initial-switched boosting bifurcations in 2D hyperchaotic map Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-02 B. C. Bao, H. Z. Li, L. Zhu, X. Zhang, M. Chen
Recently, the coexistence of initial-boosting attractors in continuous-time systems has been attracting more attention. How do you implement the coexistence of initial-boosting attractors in a discrete-time map? To address this issue, this paper proposes a novel two-dimensional (2D) hyperchaotic map with a simple algebraic structure. The 2D hyperchaotic map has two special cases of line and no fixed
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Dynamic behaviors of hyperbolic-type memristor-based Hopfield neural network considering synaptic crosstalk Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-03 Yang Leng, Dongsheng Yu, Yihua Hu, Samson Shenglong Yu, Zongbin Ye
Crosstalk phenomena taking place between synapses can influence signal transmission and, in some cases, brain functions. It is thus important to discover the dynamic behaviors of the neural network infected by synaptic crosstalk. To achieve this, in this paper, a new circuit is structured to emulate the Coupled Hyperbolic Memristors, which is then utilized to simulate the synaptic crosstalk of a Hopfield
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Inferring symbolic dynamics of chaotic flows from persistence Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-03 Gökhan Yalnız, Nazmi Burak Budanur
We introduce “state space persistence analysis” for deducing the symbolic dynamics of time series data obtained from high-dimensional chaotic attractors. To this end, we adapt a topological data analysis technique known as persistent homology for the characterization of state space projections of chaotic trajectories and periodic orbits. By comparing the shapes along a chaotic trajectory to those of
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Aperiodically intermittent control for exponential bipartite synchronization of delayed signed networks with multi-links Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-03 Mengxin Wang, Rulin Zheng, Jiqiang Feng, Sitian Qin, Wenxue Li
This paper investigates the exponential bipartite synchronization of a general class of delayed signed networks with multi-links by using an aperiodically intermittent control strategy. The main result is a set of sufficient conditions for bipartite synchronization that depend on the network’s topology, control gain, and the maximum proportion of rest time. An application to Chua’s circuits is then
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Interplay between ephaptic coupling and complex geometry of border zone during acute myocardial ischemia: Effect on arrhythmogeneity Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-04 Ning Wei, Elena G. Tolkacheva
Acute myocardial ischemia is an imbalance between myocardial blood supply and demand, which is caused by the cessation of blood flow within the heart resulting from an obstruction in one of the major coronary arteries. A severe blockage may result in a region of nonperfused tissue known as ischemic core (IC). As a result, a border zone (BZ) between perfused and nonperfused regions is created due to
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A new oscillator with mega-stability and its Hamilton energy: Infinite coexisting hidden and self-excited attractors Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-04 Gervais Dolvis Leutcho, Abdul Jalil M. Khalaf, Zeric Njitacke Tabekoueng, Theophile Fonzin Fozin, Jacques Kengne, Sajad Jafari, Iqtadar Hussain
In this paper, we introduce an interesting new megastable oscillator with infinite coexisting hidden and self-excited attractors (generated by stable fixed points and unstable ones), which are fixed points and limit cycles stable states. Additionally, by adding a temporally periodic forcing term, we design a new two-dimensional non-autonomous chaotic system with an infinite number of coexisting strange
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Discontinuity-induced intermittent synchronization transitions in coupled non-smooth systems Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-05 Ming Yi, Canjun Wang, Keli Yang
The synchronization transition in coupled non-smooth systems is studied for increasing coupling strength. The average order parameter is calculated to diagnose synchronization of coupled non-smooth systems. It is found that the coupled non-smooth system exhibits an intermittent synchronization transition from the cluster synchronization state to the complete synchronization state, depending on the
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Static and dynamic attractive–repulsive interactions in two coupled nonlinear oscillators Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-05 Shiva Dixit, Manish Dev Shrimali
Many systems exhibit both attractive and repulsive types of interactions, which may be dynamic or static. A detailed understanding of the dynamical properties of a system under the influence of dynamically switching attractive or repulsive interactions is of practical significance. However, it can also be effectively modeled with two coexisting competing interactions. In this work, we investigate the
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Consensus-based distribution of power packets and decentralized control for routing Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-05 Seongcheol Baek, Hiroyasu Ando, Takashi Hikihara
A power packet distribution network is expected to be one of the advanced power distribution systems, providing high controllability in both energy management and failure management. Regarding network operations, the power packet transmission is governed by switching operation within each of the routers. Here, the power distribution through power packets exhibits consensus-like dynamical behaviors
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Structural localization in the classical and quantum Fermi–Pasta–Ulam model Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-06 Graziano Amati, Tanja Schilling
We study the statistics and short-time dynamics of the classical and the quantum Fermi–Pasta–Ulam chain in the thermal equilibrium. We analyze the distributions of single-particle configurations by integrating out the rest of the system. At low temperatures, we observe a systematic increase in the mobility of the chain when transitioning from classical to quantum mechanics due to zero-point energy
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Wavelet entropy-based evaluation of intrinsic predictability of time series Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-09 Ravi Kumar Guntu, Pavan Kumar Yeditha, Maheswaran Rathinasamy, Matjaž Perc, Norbert Marwan, Jürgen Kurths, Ankit Agarwal
Intrinsic predictability is imperative to quantify inherent information contained in a time series and assists in evaluating the performance of different forecasting methods to get the best possible prediction. Model forecasting performance is the measure of the probability of success. Nevertheless, model performance or the model does not provide understanding for improvement in prediction. Intuitively
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Probing age-related changes in cardio-respiratory dynamics by multimodal coupling assessment Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-09 Chen Lin, Pei-Feng Lin, Chen-Hsu Wang, Chung-Hau Juan, Thi-Thao Tran, Van-Truong Pham, Chun-Tung Nien, Yenn-Jiang Lin, Cheng-Yen Wang, Chien-Hung Yeh, Men-Tzung Lo
Quantifying respiratory sinus arrhythmia (RSA) can provide an index of parasympathetic function. Fourier spectral analysis, the most widely used approach, estimates the power of the heart rate variability in the frequency band of breathing. However, it neglects the time-varying characteristics of the transitions as well as the nonlinear properties of the cardio-respiratory coupling. Here, we propose
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Spectral forecast: A general purpose prediction model as an alternative to classical neural networks Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-10 Paul A. Gagniuc, Constantin Ionescu-Tirgoviste, Elvira Gagniuc, Manuella Militaru, Lawrence Chukwudi Nwabudike, Bujorel Ionel Pavaloiu, Andrei Vasilăţeanu, Nicolae Goga, George Drăgoi, Irinel Popescu, Simona Dima
Here, we describe a general-purpose prediction model. Our approach requires three matrices of equal size and uses two equations to determine the behavior against two possible outcomes. We use an example based on photon-pixel coupling data to show that in humans, this solution can indicate the predisposition to disease. An implementation of this model is made available in the supplementary material
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Multi-scale features of volatility spillover networks: A case study of China's energy stock market Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-11 Xueyong Liu, Cheng Jiang
The objective of this study is to examine the multi-scale feature of volatility spillover in the energy stock market systematically. To achieve this objective, a framework is proposed. First, the wavelet theory is used to divide the original data to subsequences to analyze the multi-scale features, and then the Generalized Autoregressive Conditional Heteroskedasticity model with Baba, Engle, Kraft
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Synchronization transition from chaos to limit cycle oscillations when a locally coupled chaotic oscillator grid is coupled globally to another chaotic oscillator Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-12 Vedasri Godavarthi, Praveen Kasthuri, Sirshendu Mondal, R. I. Sujith, Nobert Marwan, Jürgen Kurths
Some physical systems with interacting chaotic subunits, when synchronized, exhibit a dynamical transition from chaos to limit cycle oscillations via intermittency such as during the onset of oscillatory instabilities that occur due to feedback between various subsystems in turbulent flows. We depict such a transition from chaos to limit cycle oscillations via intermittency when a grid of chaotic oscillators
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Material coherence from trajectories via Burau eigenanalysis of braids Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-12 Melissa Yeung, David Cohen-Steiner, Mathieu Desbrun
In this paper, we provide a numerical tool to study a material’s coherence from a set of 2D Lagrangian trajectories sampling a dynamical system, i.e., from the motion of passive tracers. We show that eigenvectors of the Burau representation of a topological braid derived from the trajectories have levelsets corresponding to components of the Nielsen–Thurston decomposition of the dynamical system. One
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Two paradigmatic scenarios for inverse stochastic resonance Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-16 Iva Bačić, Igor Franović
Inverse stochastic resonance comprises a nonlinear response of an oscillatory system to noise where the frequency of noise-perturbed oscillations becomes minimal at an intermediate noise level. We demonstrate two generic scenarios for inverse stochastic resonance by considering a paradigmatic model of two adaptively coupled stochastic active rotators whose local dynamics is close to a bifurcation threshold
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Global organization of three-dimensional, volume-preserving flows: Constraints, degenerate points, and Lagrangian structure Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-17 Bharath Ravu, Guy Metcalfe, Murray Rudman, Daniel R. Lester, Devang V. Khakhar
Global organization of three-dimensional (3D) Lagrangian chaotic transport is difficult to infer without extensive computation. For 3D time-periodic flows with one invariant, we show how constraints on deformation that arise from volume-preservation and periodic lines result in resonant degenerate points that periodically have zero net deformation. These points organize all Lagrangian transport in
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Two populations of coupled quadratic maps exhibit a plentitude of symmetric and symmetry broken dynamics Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-17 Ralph G. Andrzejak, Giulia Ruzzene, Eckehard Schöll, Iryna Omelchenko
We numerically study a network of two identical populations of identical real-valued quadratic maps. Upon variation of the coupling strengths within and across populations, the network exhibits a rich variety of distinct dynamics. The maps in individual populations can be synchronized or desynchronized. Their temporal evolution can be periodic or aperiodic. Furthermore, one can find blends of synchronized
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Reinforcement learning for suppression of collective activity in oscillatory ensembles Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-17 Dmitrii Krylov, Dmitry V. Dylov, Michael Rosenblum
We present the use of modern machine learning approaches to suppress self-sustained collective oscillations typically signaled by ensembles of degenerative neurons in the brain. The proposed hybrid model relies on two major components: an environment of oscillators and a policy-based reinforcement learning block. We report a model-agnostic synchrony control based on proximal policy optimization and
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Dynamic evolutionary metamodel analysis of the vulnerability of complex systems Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-17 Binglin Wang, Xiaojun Duan, Liang Yan, Hua Zhao
Because the collapse of complex systems can have severe consequences, vulnerability is often seen as the core problem of complex systems. Multilayer networks are powerful tools to analyze complex systems, but complex networks may not be the best choice to mimic subsystems. In this work, a cellular graph (CG) model is proposed within the framework of multilayer networks to analyze the vulnerability
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Collective dynamics of phase-repulsive oscillators solves graph coloring problem Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-19 Aladin Crnkić, Janez Povh, Vladimir Jaćimović, Zoran Levnajić
We show how to couple phase-oscillators on a graph so that collective dynamics “searches” for the coloring of that graph as it relaxes toward the dynamical equilibrium. This translates a combinatorial optimization problem (graph coloring) into a functional optimization problem (finding and evaluating the global minimum of dynamical non-equilibrium potential, done by the natural system’s evolution)
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Hidden hyperchaotic attractors in a new 4D fractional order system and its synchronization Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-18 Ke Li, Jianxiong Cao, Jin-Man He
The research of finding hidden attractors in nonlinear dynamical systems has attracted much consideration because of its practical and theoretical importance. A new fractional order four-dimensional system, which can exhibit some hidden hyperchaotic attractors, is proposed in this paper. The predictor–corrector method of the Adams–Bashforth–Moulton algorithm and the parameter switching algorithm are
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On the automatic parameter selection for permutation entropy Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-19 Audun Myers, Firas A. Khasawneh
Permutation Entropy (PE) is a cost effective tool for summarizing the complexity of a time series. It has been used in many applications including damage detection, disease forecasting, detection of dynamical changes, and financial volatility analysis. However, to successfully use PE, an accurate selection of two parameters is needed: the permutation dimension n and embedding delay τ. These parameters
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Fractional order oxygen–plankton system under climate change Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-19 Ramazan Ozarslan, Yadigar Sekerci
Global climate change affects marine species including phytoplankton, which constitute the base of the marine food web, by changing the primary productivity. Global warming affects the ocean surface temperature, in turn leading to a change in the oxygen production of phytoplankton. In this work, the fractional oxygen–phytoplankton–zooplankton mathematical model is considered by the Caputo fractional
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Time resolution for wavefront and phase singularity tracking using activation maps in cardiac propagation models Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-19 Samuel Gagné, Vincent Jacquemet
The dynamics of cardiac fibrillation can be described by the number, the trajectory, the stability, and the lifespan of phase singularities (PSs). Accurate PS tracking is straightforward in simple uniform tissues but becomes more challenging as fibrosis, structural heterogeneity, and strong anisotropy are combined. In this paper, we derive a mathematical formulation for PS tracking in two-dimensional
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Bumps and oscillons in networks of spiking neurons Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-19 Helmut Schmidt, Daniele Avitabile
We study localized patterns in an exact mean-field description of a spatially extended network of quadratic integrate-and-fire neurons. We investigate conditions for the existence and stability of localized solutions, so-called bumps, and give an analytic estimate for the parameter range, where these solutions exist in parameter space, when one or more microscopic network parameters are varied. We
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Stabilization and destabilization of nonlinear systems via aperiodically intermittent stochastic noises: Average techniques and scalar functions Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-19 Sen Li, Xiangnuo Ren, Huan Su
In this paper, almost sure exponential stabilization and destabilization criteria for nonlinear systems are obtained via aperiodically intermittent stochastic noises based on average techniques and piecewise continuous scalar functions. Compared with existing results on almost sure exponential stability of stochastic systems, the requirement on the upper bound of the diffusion operator of a Lyapunov
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Recurrence quantification analysis of heart rate variability during continuous incremental exercise test in obese subjects Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-20 G. Zimatore, M. C. Gallotta, L. Innocenti, V. Bonavolontà, G. Ciasca, M. De Spirito, L. Guidetti, C. Baldari
The present paper concerns a new description of changing in metabolism during incremental exercises test that permit an individually tailored program of exercises for obese subjects. We analyzed heart rate variability from RR interval time series (tachogram) with an alternative approach, the recurrence quantification analysis, that allows a description of a time series in terms of its dynamic structure
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A note on exact solutions of the logistic map Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-20 Milton F. Maritz
The logistic map, whose iterations lead to period doubling and chaos as the control parameter, is increased and has three cases of the control parameter where exact solutions are known. In this paper, we show that general solutions also exist for other values of the control parameter. These solutions employ a special function, not expressible in terms of known analytical functions. A method of calculating
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Representation of solutions for Sturm–Liouville eigenvalue problems with generalized fractional derivative Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-23 Ramazan Ozarslan, Erdal Bas, Dumitru Baleanu
We analyze fractional Sturm–Liouville problems with a new generalized fractional derivative in five different forms. We investigate the representation of solutions by means of ρ-Laplace transform for generalized fractional Sturm–Liouville initial value problems. Finally, we examine eigenfunctions and eigenvalues for generalized fractional Sturm–Liouville boundary value problems. All results obtained
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A multiplex, multi-timescale model approach for economic and frequency control in power grids Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-03-27 Lia Strenge, Paul Schultz, Jürgen Kurths, Jörg Raisch, Frank Hellmann
Power systems are subject to fundamental changes due to the increasing infeed of decentralized renewable energy sources and storage. The decentralized nature of the new actors in the system requires new concepts for structuring the power grid and achieving a wide range of control tasks ranging from seconds to days. Here, we introduce a multiplex dynamical network model covering all control timescales
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Supervised chaotic source separation by a tank of water. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-07 Zhixin Lu,Jason Z Kim,Danielle S Bassett
Whether listening to overlapping conversations in a crowded room or recording the simultaneous electrical activity of millions of neurons, the natural world abounds with sparse measurements of complex overlapping signals that arise from dynamical processes. While tools that separate mixed signals into linear sources have proven necessary and useful, the underlying equational forms of most natural signals
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Coexistence of firing patterns and its control in two neurons coupled through an asymmetric electrical synapse. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-03 Z Tabekoueng Njitacke,Isaac Sami Doubla,J Kengne,A Cheukem
In this paper, the effects of asymmetry in an electrical synaptic connection between two neuronal oscillators with a small discrepancy are studied in a 2D Hindmarsh-Rose model. We have found that the introduced model possesses a unique unstable equilibrium point. We equally demonstrate that the asymmetric electrical couplings as well as external stimulus induce the coexistence of bifurcations and multiple
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Sequence-to-sequence prediction of spatiotemporal systems. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-03 Guorui Shen,Jürgen Kurths,Ye Yuan
We propose a novel type of neural networks known as "attention-based sequence-to-sequence architecture" for a model-free prediction of spatiotemporal systems. This architecture is composed of an encoder and a decoder in which the encoder acts upon a given input sequence and then the decoder yields another output sequence to make a multistep prediction at a time. In order to demonstrate the potential
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Totally asymmetric simple exclusion process on multiplex networks. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-03 Guojiang Shen,Xinye Fan,Zhongyuan Ruan
We study the totally asymmetric simple exclusion process on multiplex networks, which consist of a fixed set of vertices (junctions) connected by different types of links (segments). In particular, we assume that there are two types of segments corresponding to two different values of hopping rate of particles (larger hopping rate indicates particles move with higher speed on the segments). By simple
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Different effects of fast and slow input fluctuations on output in gene regulation. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-03 Huahai Qiu,Zhanjiang Yuan,Tianshou Zhou,Luonan Chen
An important task in the post-gene era is to understand the role of stochasticity in gene regulation. Here, we analyze a cascade model of stochastic gene expression, where the upstream gene stochastically generates proteins that regulate, as transcription factors, stochastic synthesis of the downstream output. We find that in contrast to fast input fluctuations that do not change the behavior of the
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On a simple model that explains inversion of a self-propelled rotor under periodic stop-and-release-operations. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-03 Yuki Koyano,Hiroyuki Kitahata,Satoshi Nakata,Jerzy Gorecki
We propose a simple mathematical model that describes the time evolution of a self-propelled object on a liquid surface using variables such as object location, surface concentration of active molecules, and hydrodynamic surface flow. The model is applied to simulate the time evolution of a rotor composed of a polygonal plate with camphor pills at its corners. We have qualitatively reproduced results
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Capture of high energy orbit of Duffing oscillator with time-varying parameters. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-03 Liuding Yu,Lihua Tang,Liuyang Xiong,Tiejun Yang
This work investigates the time response of a Duffing oscillator with time-varying parameters (excitation frequency, linear stiffness, and mass) by approximate analytical and numerical methods. When the excitation frequency sweep covers the multisolution range, the characteristics of the response (maximum response, jump-up frequency, and jump-down frequency) mainly depend on the frequency sweep rate
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Photon waiting-time distributions: A keyhole into dissipative quantum chaos. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-03 I I Yusipov,O S Vershinina,S V Denisov,M V Ivanchenko
Open quantum systems can exhibit complex states, for which classification and quantification are still not well resolved. The Kerr-nonlinear cavity, periodically modulated in time by coherent pumping of the intracavity photonic mode, is one of the examples. Unraveling the corresponding Markovian master equation into an ensemble of quantum trajectories and employing the recently proposed calculation
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Sensitivity of nonequilibrium Casimir forces on low frequency optical properties toward chaotic motion of microsystems: Drude vs plasma model. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-03 F Tajik,A A Masoudi,Z Babamahdi,M Sedighi,G Palasantzas
Here, we investigate the sensitivity of nonequilibrium Casimir forces to optical properties at low frequencies via the Drude and plasma models and the associated effects on the actuation of microelectromechanical systems. The stability and chaotic motion for both autonomous conservative and nonconservative driven systems were explored assuming good, e.g., Au, and poor, e.g., doped SiC, interacting
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Effect of parametric excitation on a bifractional-order damped system with a fractional-power nonlinearity. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-03 Zhi Yan,Xianbin Liu
Investigation on linear/nonlinear resonance phenomena and supercritical/subcritical pitchfork bifurcation mechanism is reported in a complex bifractional-order damped system which endures a high-frequency parametric excitation and contains fractional-power nonlinearity. The approximate theoretical expression of the linear response amplitude at the primary frequency and the superharmonic response amplitude
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Mutual synchronization of two flame-driven thermoacoustic oscillators: Dissipative and time-delayed coupling effects. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-03 Kihun Moon,Yu Guan,Larry K B Li,Kyu Tae Kim
Low-emissions can-annular gas turbines are prone to develop low-frequency self-excited thermoacoustic oscillations. Such oscillations arise from the coupling between adjacent combustors and can increase wear and thermal stresses. In this experimental study, we explore the mutual synchronization of two thermoacoustic oscillators (i.e., two model combustors) interacting via dissipative and time-delayed
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Motor execution reduces EEG signals complexity: Recurrence quantification analysis study. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-04 Elena Pitsik,Nikita Frolov,K Hauke Kraemer,Vadim Grubov,Vladimir Maksimenko,Jürgen Kurths,Alexander Hramov
The development of new approaches to detect motor-related brain activity is key in many aspects of science, especially in brain-computer interface applications. Even though some well-known features of motor-related electroencephalograms have been revealed using traditionally applied methods, they still lack a robust classification of motor-related patterns. Here, we introduce new features of motor-related
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An improved belief propagation algorithm for detecting mesoscale structure in complex networks. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-04 Chuang Ma,Bing-Bing Xiang,Han-Shuang Chen,Hai-Feng Zhang
The framework of statistical inference has been successfully used to detect the mesoscale structures in complex networks such as community structure and core-periphery (CP) structure. The main principle is that the stochastic block model is used to fit the observed network and the learned parameters indicating the group assignment, in which the parameters of model are often calculated via an expectation-maximization
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Quadratic response of random and deterministic dynamical systems. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-04 Stefano Galatolo,Julien Sedro
We consider the linear and quadratic higher-order terms associated with the response of the statistical properties of a dynamical system to suitable small perturbations. These terms are related to the first and second derivative of the stationary measure with respect to the changes in the system itself, expressing how the statistical properties of the system vary under the perturbation. We show a general
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Efficient community detection algorithm based on higher-order structures in complex networks. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-04 Jinyu Huang,Yani Hou,Yuansong Li
It is a challenging problem to assign communities in a complex network so that nodes in a community are tightly connected on the basis of higher-order connectivity patterns such as motifs. In this paper, we develop an efficient algorithm that detects communities based on higher-order structures. Our algorithm can also detect communities based on a signed motif, a colored motif, a weighted motif, as
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Parametric controllability of the personalized PageRank: Classic model vs biplex approach. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-04 Julio Flores,Esther García,Francisco Pedroche,Miguel Romance
Measures of centrality in networks defined by means of matrix algebra, like PageRank-type centralities, have been used for over 70 years. Recently, new extensions of PageRank have been formulated and may include a personalization (or teleportation) vector. It is accepted that one of the key issues for any centrality measure formulation is to what extent someone can control its variability. In this
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Quantitative coordination evaluation for screening children with Duchenne muscular dystrophy. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-11 Jian An,Zhiying Xie,Fan Jia,Zhaoxia Wang,Yun Yuan,Jue Zhang,Jing Fang
As the potential for a treatment of Duchenne muscular dystrophy (DMD) grows, the need for methods for the early diagnosis of DMD becomes more and more important. Clinical experiences suggest that children with DMD will show some lack of motor ability in the early stage when compared with children at the same age, especially in balance and coordination abilities. Is it possible to quantify the coordination
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Deviations from Gaussianity in deterministic discrete time dynamical systems. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-05 Jeroen Wouters
In this paper, we examine the deviations from Gaussianity for two types of a random variable converging to a normal distribution, namely, sums of random variables generated by a deterministic discrete time map and a linearly damped variable driven by a deterministic map. We demonstrate how Edgeworth expansions provide a universal description of the deviations from the limiting normal distribution.
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Steiner triangular drop dynamics. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-05 Elizabeth Wesson,Paul Steen
Steiner's circumellipse is the unique geometric regularization of any triangle to a circumscribed ellipse with the same centroid, a regularization that motivates our introduction of the Steiner triangle as a minimal model for liquid droplet dynamics. The Steiner drop is a deforming triangle with one side making sliding contact against a planar basal support. The center of mass of the triangle is governed
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Set-reset latch logic operation in a bistable system under suprathreshold and subthreshold signals. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.832) Pub Date : 2020-02-06 Rong Gui,Huiyu Zhang,Guanghui Cheng,Yuangen Yao
A set-reset latch is a basic building block of computers and can be used to store state information. Here, by testing the influence of the two logical input signals on the reliable set-reset latch logic operation in the bistable system, we found that there are two types of input signals, namely, suprathreshold and subthreshold signals. For the suprathreshold signals, reliable set-reset logic operation