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A simple model of global cascades on random hypergraphs Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-06 Lei Chen, Yanpeng Zhu, Jiadong Zhu, Longqing Cui, Zhongyuan Ruan, Michael Small, Kim Christensen, Run-Ran Liu, Fanyuan Meng
This study introduces a comprehensive framework that situates information cascades within the domain of higher-order interactions, utilizing a double-threshold hypergraph model. We propose that individuals (nodes) gain awareness of information through each communication channel (hyperedge) once the number of information adopters surpasses a threshold ϕm. However, actual adoption of the information
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All-Josephson junction logic cells and bio-inspired neuron based on [formula omitted] junction inductorless blocks Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-06 Anastasia A. Maksimovskaya, Vsevolod I. Ruzhickiy, Nikolay V. Klenov, Andrey E. Schegolev, Sergey V. Bakurskiy, Igor I. Soloviev, Dmitry S. Yakovlev
Representing information as magnetic flux in superconducting circuits has enabled the development of fast and energy-efficient post-Moore digital circuits. Similar Josephson schemes have also been used to implement promising spiking neural networks. The primary limitation to the practical use of such devices is the relatively low integration density, mainly due to the presence of inductive elements
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Coevolutionary dynamics of feedback-evolving games in structured populations Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-06 Qiushuang Wang, Xiaojie Chen, Attila Szolnoki
The interdependence between an individual strategy decision and the resulting change of environmental state is often a subtle process. Feedback-evolving games have been a prevalent framework for studying such feedback in well-mixed populations, yielding important insights into the coevolutionary dynamics. However, since real populations are usually structured, it is essential to explore how population
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Spectral signatures of structural change in financial networks Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-06 Valentina Macchiati, Emiliano Marchese, Piero Mazzarisi, Diego Garlaschelli, Tiziano Squartini
The level of systemic risk in economic and financial systems is strongly determined by the structure of the underlying networks of interdependent entities that can propagate shocks and stresses. Since changes in network structure imply changes in risk levels, it is important to identify structural transitions potentially leading to system-wide crises. Methods have been proposed to assess whether a
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Discrete-time fractional-order local active memristor-based Hopfield neural network and its FPGA implementation Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-06 Chunhua Wang, Yufei Li, Quanli Deng
In this paper, a fractional-order discrete-time Hopfield neural network (HNN) with three neurons is studied, and discrete-time fractional-order local active memristor is used as the mutual synapses and electromagnetic radiation of HNN neurons respectively. Chaotic dynamic characteristics of the entire four-dimensional fractional discrete-time system are analyzed, including Li’s index, phase diagram
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Coherence resonance in acoustic cavity system with coherent feedback Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-06 Cuicui Li, Bixuan Fan, Zhenglu Duan
A nonlinear system, when subjected to external noise, can exhibit resonance peak characteristics in response to varying noise intensity, a phenomenon known as coherence resonance. Coherence resonance holds significant theoretical importance across fields such as energy harvesting, biology, and physics. In this work, we explore the phenomenon of acoustic coherence resonance in a nonlinear acoustic cavity
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Boundary layer slip flow and heat-mass transfer of radiated water based nanofluid over a permeable disk: Darcy-Forchheimer model and activation energy Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-05 Sohail Rehman
This research highlights the Bödewadt boundary layer flow problem over a static permeable stretching disk uncovering the mass and heat transfer characteristics of tangent hyperbolic nanofluid (THNF) flow. The flow of a copper-water based THNF flow over a permeable stretching disk subject to Darcy-Forchheimer permeable model, activation energy and thermo-diffusion phenomena. The principal objective
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From metastable to stable states: Stability and explosion of pure-quartic soliton induced by the spectral filtering in fiber laser Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-05 Jia-Hao Zhang, Yun-Hao Jia, Wen-Zhi Lan, Nikolay A. Kudryashov, Xiao-Yan Wang, Chao-Qing Dai
This paper explores the pivotal role of the spectral filtering in pure-quartic soliton (PQS) and its dynamical phenomena in fiber lasers. By incorporating spectral filters, a strategy is introduced to enhance the performance of PQS fiber lasers to produce the transition from metastable PQS state into stable PQS states. Furthermore, by adjusting the negative fourth-order dispersion (FOD) of the cavity
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Noise-induced extreme events in single Fitzhugh–Nagumo oscillator Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-05 S. Hariharan, R. Suresh, V.K. Chandrasekar
The FitzHugh–Nagumo (FHN) model serves as a fundamental neuronal model which is extensively studied across various dynamical scenarios, we explore the dynamics of a scalar FHN oscillator under the influence of white noise. Unlike previous studies, in which extreme events (EE) were observed solely in coupled FHN oscillators, we demonstrate that a single system can exhibit EE induced by noise. Perturbation
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Optimal bipartite consensus control for nonlinear MASs: A new predefined-time dynamic event-triggered approach Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-05 Haoming Zou, Guoshan Zhang, Zhiyong Chen
This paper presents a novel predefined-time (PDT) event-triggered (ET) optimal bipartite consensus control scheme for multi-agent systems (MASs) with external disturbances. Firstly, an adaptive disturbance observer is designed to accurately estimate the external disturbances within a predefined time, and relax the condition that the upper bound of the disturbance derivative is known. Then, an ET-based
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Resilience of the interdependent network against cascade failure Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-05 Changchun Lv, Yulin Lei, Ye Zhang, Dongli Duan, Shubin Si
Complex systems ranging from technological and social systems are consist of fully or partially interdependent subsystems. The majority of catastrophic events occurred in these system always are triggered by minor events and in turn caused by cascading failure. Understanding the universality class of the resilience in interdependent networks during the process of cascading failure is therefore an essential
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Self-affine analysis and the universal crossover behavior of COVID-19 daily cases Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-05 Thiago B. Murari, Ronaldo Naziazeno, Bruna A.S. Machado, Tarcisio M. da Rocha Filho, Hernane B. de B. Pereira, Marcelo A. Moret
We examined the time series of Coronavirus Disease 19 (COVID-19) cases and deaths using the detrended fluctuation analysis method. Understanding the intricate dynamics of COVID-19 transmission is essential for developing effective strategies to mitigate the impact of this disease. Long-range correlations were investigated, which could provide valuable insights into the patterns and mechanisms of COVID-19
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Spatial dynamics and pattern formation in fragmented habitats: A study using a diffusive Bazykin model with Allee effect Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-05 Pallav Jyoti Pal, Debabrata Biswas, Tapan Saha
This article explores the dynamics of a Bazykin-type prey–predator model enhanced with an additive Allee effect in the prey population growth. The model reveals complex dynamics, such as bistability, global asymptotic stability, and a variety of local and global bifurcations, including saddle–node, Hopf, Bogdanov–Takens, transcritical, cusp, homoclinic, Generalized-Hopf, and saddle–node bifurcations
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Analysis of digital financial innovation behavior based on fractional-order evolutionary game Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-04 Siqi Liu, Zixin Liu
This paper delves into the government’s regulatory issues regarding the innovation of digital finance companies. Under static and dynamic reward–punishment mechanisms, fractional-order evolutionary game models are established between the government and digital finance enterprises. Considering the timeliness of rewards and punishments, time-delayed fractional-order models are further established to
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Observation of ultraslow optical solitons and vortex solitons in a room-temperature atomic gas via electromagnetically induced transparency Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-04 Hongqiao Zhang, Zhaohui Li, Yurong Wang, Chao Hang, Guang Wu
We report an experimental observation on the ultraslow optical solitons (USOSs) and vortex solitons (VSs) in a room-temperature, highly resonant atomic system via the electromagnetically-induced transparency. We show that when the input power of a probe laser exceeds a threshold, the probe beam can form USOSs and VSs, whose wave shapes are nearly invariant during propagation due to the exact balance
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Dynamical behaviors of a generalist predator–prey system with Allee and wind effects in deterministic or stochastic environment Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-04 Haiqing Yao, Qinglong Wang, Zhijun Liu
In deterministic or stochastic environment, a generalist predator–prey system with the additive Allee effect and wind flow is explored by incorporating the Beverton–Holt type functional response to describe the influence of additional food on the growth of predators. First of all, in deterministic surroundings, we focus on positivity and boundedness of solutions, existence and stability of equilibrium
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The octonion linear canonical transform: Properties and applications Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-04 Nan Jiang, Qiang Feng, Xi Yang, Jin-Rong He, Bing-Zhao Li
The octonion linear canonical transform (OCLCT) is a generalized form of the octonion Fourier transform (OFT), which in recent years has gradually become a new research area at the intersection of mathematics and signal processing. The study of these transforms not only enriches algebraic content but also provides tools for understanding geometric and physical phenomena in higher dimensions. In this
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“Conformable fractional” derivatives and integrals are integer-order operators: Physical and geometrical interpretations, applications to fractal physics Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-03 Vasily E. Tarasov
Operators, which Khalil, Al Horani, Yousef, Sababhe called “conformable fractional” derivatives and integrals in 2014, were proposed in 2005 as differential operators of the integer order. Since 2005, these operators have been used in various articles to describe fractal distributions of matter and fractal media in the framework of continuum models with fractal density of states. In this paper, we
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Multicore vortex solitons in cubic–quintic nonlinear media with a Bessel lattice potential Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-03 Di Wu, Junhao Li, Xi Gao, Yi Shi, Yuan Zhao, Liangwei Dong, Boris A. Malomed, Ni Zhu, Siliu Xu
We propose a scheme to explore the existence, propagation, and manipulations of two-dimensional (2D) spatial multicore vortex solitons (VSs) and three-dimensional (3D) spatiotemporal vortex light bullets (VLBs) in media with the competing cubic–quintic nonlinearity, confined by azimuthally modulated Bessel lattices. Control parameters of the system include the cubic and quintic nonlinearity coefficients
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Rich hidden dynamics in a two-parameter plane for spur gear system Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-01 Jian-Fei Shi, Peng-Bing Gou, Xiang-Feng Gou, Wu-Yin Jin, Guo-Long Chen
As a key component of mechanical equipment, gear transmission exhibits intricate coexisting dynamics under the co-variation of parameters and initial values. Hidden dynamics can be dangerous, causing instability or system failure. Effectively unveiling hidden dynamics is crucial for gear systems and mechanical equipment. This study presents a method of computing coexistence dynamics in a two-parameter
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Persistent homology approach for uncovering transitions to Chaos Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-01 W. Hussain Shah, R. Jaimes-Reátegui, G. Huerta-Cuellar, J.H. García-López, A.N. Pisarchik
Traditional methods for distinguishing between periodic and chaotic time series are cumbersome and unclear. In this study, we examined the time series of the Rössler system for various values of the natural frequency, which served as a control parameter. First, we analyzed the topological structure by constructing Betti vectors for each persistence diagram and visualized them using a CROCKER plot.
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Hypergraph-based modeling of cascading failures with probabilistic node-to-group interactions Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-02-01 Run-Ran Liu, Changchang Chu, Fanyuan Meng, Chun-Xiao Jia
Higher-order interactions are widespread in real-world complex systems and play a crucial role in the functionality and robustness of these systems. In this paper, we introduce a cascading failure model with interactions between individual nodes and groups by using hypergraphs to represent the systems with higher-order interactions, where the failure of one individual within a group results in group-wide
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Artificial neural network analysis of MHD Maxwell nanofluid flow over a porous medium in presence of Joule heating and nonlinear radiation effects Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-31 Muhammad Idrees Afridi, Bandar Almohsen, Shazia Habib, Zeeshan Khan, Raheela Razzaq
This study utilized a novel Artificial Neural Network methodology to examine the magnetohydrodynamic flow of a Maxwell nanofluid over a stretching surface situated in a porous medium, accounting for various physical phenomena including electromagnetic forces, nonlinear thermal radiation, heat generation/absorption, viscous dissipation, and Joule heating. The effects of Brownian motion and thermophoresis
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Exploring quasi-periodic behavior, bifurcation, and traveling wave solutions in the double-chain DNA model Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-31 Beenish, Maria Samreen
The double-chain DNA model, which is essential for genetic material transmission and retention, is examined in this work. The model shows two long, evenly elastic filaments joined by hydrogen bonds between base pairs, which represent DNA’s polynucleotide chains. To reduce complexity and derive solutions for differential equations with symmetries, the Lie symmetry technique is a powerful mathematical
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Fractional Hamiltonian systems: Nested ellipsoids Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-31 Ekin Uğurlu
In this paper, we introduce a singular fractional-order Hamiltonian system with several spectral parameters. Using the inertia indices of the corresponding Hermitian forms we provide a lower bound for the number of linearly independent integrable-square solutions. Moreover, we introduce the Titchmarsh–Weyl function together with an intermediate theorem on the number of the integrable-square solutions
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A new concept of controllability for a class of nonlinear continuous SIR systems Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-31 Imane Dehaj, Abdessamad Dehaj, M.A. Aziz-Alaoui, Mostafa Rachik
Given that nonlinear models are the most suitable for the mathematical description of most epidemics, and in order to address the challenges posed by the non-linearity of such models, we propose a new approach that, under certain conditions, allows the number of infected individuals to be reduced below a threshold set by health authorities, within the shortest possible time frame. To demonstrate the
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2D spatial soliton generation of Airy-Hermite-Gaussian beam in noninstantaneous nonlinear media Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-30 Meizhi Zhang, Jin Zhang, Guangwen Huo, Kaili Ren, Fanxiao Sun, Shihao Zhang, Anxi Ru
We theoretically investigate the soliton formation of the Airy-Hermite-Gaussian beam (AHGB) in non-instantaneous photorefractive media by employing the split-step Fourier method in two dimensions. The simulation results suggest that the soliton's formation is closely relevant to the nonlinear effects regarding illumination time, beam order, and beam intensity. In a steady state, AHGB of different orders
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Integrating static and dynamic game theory with complex networks: Enhancing strategy dynamics through adaptive update rules Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-30 Reza Hakhamanesh, Javad Mohammadzadeh, Hadi Gholami Khaibary, Masoomeh Azimi
Understanding the dynamics of strategic interactions in real-world systems is crucial across various fields, from economics to biology. This research is motivated by the need to bridge the gap between game theory models and the complex structures of real-world networks, particularly scale-free networks with their robust, hub-dominated topology. This study explores the integration of evolutionary game
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Effect of community learning mechanism on cooperation in conflict societies Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-30 Meng Zhou, Yanlong Yang, Shuwen Xiang
The emergence of communities effectively promotes the cooperation under the framework of evolutionary game theory. Without adding any additional rewards or punishments, we propose a community learning mechanism that focuses on individual learning from the closest one with the highest benefit, which is used to simulate Prisoner’s Dilemma game model on a square lattice. Results indicate that the emergence
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Super extreme event and coexisting attractors in a novel chaotic snap system with hyperbolic sine function: Theoretical investigations and circuit experiments Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-30 Yongyong Xiong, Xiao Zhang, Jean Chamberlain Chedjou, Yesen Wu, Donghua Jiang, Jacques Kengne, Jawad Ahmad
Extreme events and multistability are among the most followed ongoing topics in nonlinear science due to their multiple potential applications in engineering. In this contribution, we introduce a new fourth-order autonomous hyperjerk (i.e. snap) system with a hyperbolic sine function. A detailed analysis of the proposed system is carried out thanks to analytical and numerical tools with special attention
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Chaotic evolution optimization: A novel metaheuristic algorithm inspired by chaotic dynamics Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-29 Yingchao Dong, Shaohua Zhang, Hongli Zhang, Xiaojun Zhou, Jiading Jiang
In this paper, a novel population-based metaheuristic algorithm inspired by chaotic dynamics, called chaotic evolution optimization (CEO), is proposed. The main inspiration for CEO is derived from the chaotic evolution process of a two-dimensional discrete memristive map. By leveraging the hyperchaotic properties of the memristive map, the CEO algorithm is mathematically modeled to introduce random
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A novel PRNG for fiber optic transmission Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-29 Sarra Senouci, Sid Ali Madoune, Mohammed Raouf Senouci, Abdelkader Senouci, Zhangchun Tang
This paper presents a novel chaotic-based pseudo-random number generator (PRNG) architecture, leveraging the Lorenz system, for secure fiber optic communication. We analyze a base model and an enhanced model, incorporating techniques like Euler integration, XOR operations, bifurcation analysis, and autocorrelation functions. The enhanced model, incorporating a feedback mechanism, exhibits superior
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Cascading failures with group support in interdependent hypergraphs Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-29 Lei Chen, Juntao Lu, Yalin Wang, Chunxiao Jia, Run-Ran Liu, Fanyuan Meng
The functionality of an entity frequently necessitates the support of a group situated in another layer of the system. To unravel the profound impact of such group support on a system’s resilience against cascading failures, we devise a framework comprising a double-layer interdependent hypergraph system, wherein nodes in one layer are capable of receiving support via hyperedges in another layer. Our
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Memory-based prisoner’s dilemma game with payoff-driven preferential selection Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-28 Wenxing Ye, Luliang Wen, Suohai Fan
We investigated the memory-based prisoner’s dilemma game with preferential selection on square lattice. Under the proposed selection mechanism, individuals may not randomly choose a neighbor when they imitate. Instead, each individual evaluates the recent performance by average payoff in memory length and tends to select neighbors by the pairwise difference of the average payoffs. Moreover, a factor
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Bifurcation analysis of mixed traffic system with different car-following modes and distributed PID control strategy based on particle swarm optimizer Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-27 Shu-Tong Wang, Wen-Xing Zhu
This paper is committed to capturing the dynamical behaviors of the mixed traffic flow which is composed of human-driven vehicle (HDV) and connected autonomous vehicle (CAV), and exploring targeted control strategies to alleviate traffic congestion. Firstly, a novel car-following model is proposed for mixed traffic flow, which considers different car-following modes and functional degradation. Secondly
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Bidirectional long short-term memory attention neural network to estimate neural mass model parameters Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-27 Hao Zhang, Changqing Yang, Jingping Xu, Guanli Yuan, Xiaoli Li, Guanghua Gu, Dong Cui
Mild Cognitive Impairment (MCI) is a precursor stage of Alzheimer's disease. The effective utilization of electroencephalography (EEG) in the analysis of neuronal populations through mathematical models of the brain is imperative for the study of the neurophysiological mechanisms underlying MCI. The research performs multi-parameter reverse identification of EEG in patients with MCI by combining the
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Forecasting chaotic time series: Comparative performance of LSTM-based and Transformer-based neural network Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-27 João Valle, Odemir Martinez Bruno
The complexity and sensitivity to initial conditions are the main characteristics of chaotic dynamical systems, making long-term forecasting a significant challenge. Deep learning, however, is a powerful technique that can potentially improve forecasting in chaotic time series. In this study, we explored the performance of modern neural network architectures in forecasting chaotic time series with
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Proximal policy optimization approach to stabilize the chaotic food web system Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-27 Liang Xu, Ru-Ru Ma, Jie Wu, Pengchun Rao
Chaos phenomena can be observed extensively in many real-world scenarios, which usually presents a challenge to suppress those undesired behaviors. Unlike the traditional linear and nonlinear control methods, this study introduces a deep reinforcement learning (DRL)-based scheme to regulate chaotic food web system (FWS). Specifically, we utilize the proximal policy optimization (PPO) algorithm to train
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Numerical solutions to linear differential equations on unbounded domain based on ECNN Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-27 Hongli Sun, Yanfei Lu
In this paper, we propose a novel single-layer Exponential Chebyshev Neural Network (ECNN) designed to solve ordinary differential equations (ODEs) or systems of ODEs, as well as integro-differential equations (IDEs) or systems of IDEs, defined on infinite domains. We utilize the output of the ECNN as an approximate solution to the original equation and substitute it back into the equation. By employing
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Global bifurcation in a virus, defective genomes, satellite RNAs tripartite system: Breakdown of a coexistence quasi-neutral curve Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-26 Oriol Llopis-Almela, J. Tomás Lázaro, Santiago F. Elena, Josep Sardanyés
The dynamics of wild-type (wt) RNA viruses and their defective viral genomes (DVGs) have been extensively studied both experimentally and theoretically. This research has paid special attention to the interference effects of DVGs on wt accumulation, transmission, disease severity, and induction of immunological responses. This subject is currently a highly active and promising area of research since
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Limit cycles near a homoclinic loop in two classes of piecewise smooth near-Hamiltonian systems Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-26 Deyue Ma, Junmin Yang
For two classes of piecewise smooth near-Hamiltonian systems, by studying some properties of the expansions of two Melnikov functions near a homoclinic loop, we give a simple relation between the coefficients of hj(j≥0,j∈Z) appearing in the two expansions. Based on this, we further give a general condition for each of the two systems to have as many as possible limit cycles near the homoclinic loop
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Dynamics of certain localized waves in an erbium-doped fiber system with the quintic terms Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-26 Yuan Shen
A higher-order nonlinear Schrödinger-Maxwell-Bloch system with the quintic terms is the main focus of this study. This system is able to provide an explanation for the ultra-short optical pulses that occur in an erbium-doped fiber. We formulate an N-fold generalized Darboux transformation (DT) using the limit approach, starting with an existing Lax pair and one-fold DT, where N is a positive integer
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A neural network based Nipah virus model for healthcare disaster management Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-25 Alia Mohammed Almoajel
The present investigations provide the solutions of the fractional order Nipah virus (NiV) model by using the stochastic computing neural network. This model has significant impacts on disaster management based on the accurate prediction, early warning system, resource allocation, and economic impact assessment. Fractional calculus is used to present more real results as compared to integer order derivatives
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Chimera states in a globally coupled bipartite network with higher-order interaction Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-25 Rumi Kar, Gokul B. Nair, V.K. Chandrasekar, D.V. Senthilkumar
We show the emergence of two distinct stable chimeras and two distinct breathing chimeras in a globally coupled phase oscillators on a bipartite network due to the interplay between the higher-order interaction and the phase lag parameter. We also show that the bipartite network exhibits extreme multistable states and a wide variety of phase transitions among the observed dynamical states. We find
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Super long-range kinks Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-25 I. Andrade, M.A. Marques, R. Menezes
In this work we investigate the presence of scalar field models supporting kink solutions with logarithmic tails, which we call super long-range structures. We first consider models with a single real scalar field and associate the long-range profile to the orders of vanishing derivatives of the potential at its minima. We then present a model whose derivatives are null in all orders and obtain analytical
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Equalizing payoffs of a structured population in repeated Prisoner’s Dilemma game Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-25 Biheng Zhou, Zhihai Rong, Xiang Yu
Through the zero-determinant theory in the infinite repeated Prisoner’s Dilemma game, this paper explores a novel method to equalize the average payoff of individuals in a regular graph, where individuals turn their strategies in terms of a uniform updating vector. Through designing three parameters about the transition probability for all defective state (starting point of the vector), the ratio coefficient
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Distribution functions of the initiated KdV-like solitonic gas Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-24 Efim Pelinovsky, Sergey Gurbatov
The statistical properties of a sequence of spaced solitons and compactons (soliton gas) with random amplitudes and phases are studied based on the example of solitary waves – solutions of the generalized Korteweg-de Vries equation with power nonlinearity (including fractional nonlinearity). Such sequences are used to specify initial conditions in problems of modeling soliton turbulence. It is shown
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Nonlinear vibration suppression of a dual-rotor system with combined misalignment using the nonlinear energy sink Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-24 Xueyang Miao, Junzeng He, Dong Jiang, Dahai Zhang, Paolo Pennacchi, Qingguo Fei
Misalignment in aero-engine rotor systems increases vibration and contributes to bearing failures. This study investigates a shared bearing bore-coaxial dual-rotor system with combined misalignment of couplings and bearings, analyzing its vibration characteristics and exploring vibration suppression strategies using the nonlinear energy sink (NES). A unified nonlinear restoring force model considering
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Active vibration isolation of a monostable nonlinear electromagnetic actuator using machine learning adaptive feedforward control Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-24 Kai Yang, Weihao Tong, Xu Zhou, Ruohan Li, Tingting Zhang, Daniil Yurchenko, Yucheng Shu
In the realm of nonlinear vibration systems, the control of periodic low-frequency vibrations presents a formidable challenge due to the intricate nature of nonlinear dynamics. This paper proposes a novel machine learning adaptive feedforward active control method tailored for suppressing periodic low-frequency vibrations. Leveraging a monostable nonlinear electromagnetic actuator with an elastic boundary
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Vibration reduction research of a thin beam system by employing distributed coupling nonlinear energy sinks Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-23 Qichen Wang, Yuhao Zhao
In engineering applications, complex structural forms can often be approximated by coupled beam systems, underscoring the critical importance of vibration control in these structures. Leveraging the advantages of distributed nonlinear energy sinks (NES) in structural vibration management, this study introduces a distributed coupling nonlinear energy sink (CNES) into thin beam systems (TBS) and investigates
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Rheostatic effect of a magnetic field on the onset of chaotic and periodic motions in a five-dimensional magnetoconvective Lorenz system Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-23 Pradeep G. Siddheshwar, Anoop Suresh, M.S. Jagadeesh Kumar
This paper deals with a weakly nonlinear study of two-dimensional Rayleigh–Bénard magnetoconvection using a simplified five-dimensional Lorenz model. The governing equations of the system are nondimensionalized and formulated in terms of the stream function and the scalar magnetic potential. A five-modal Fourier truncation scheme is employed and the resulting equations are scaled to obtain a five-dimensional
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Nonreciprocal cavity magnonics system for amplification of photonic spin Hall effect Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-23 Akhtar Munir, Muqaddar Abbas, Chunfang Wang
Nonreciprocal cavity magnonics combines magnetics and photonics to provide a versatile platform for studying nonlinear interactions and spin–orbit coupling in optical systems. We present a theoretical framework to amplify the photonic spin Hall effect (SHE) in a nonreciprocal cavity magnonics system with two microwave cavity modes and a single magnon mode. By tuning the coupling strengths between clockwise
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Gradient based optimization of Chaogates Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-23 Anil Radhakrishnan, Sudeshna Sinha, K. Murali, William L. Ditto
We present a method for configuring Chaogates to replicate standard Boolean logic gate behavior using gradient-based optimization. By defining a differentiable formulation of the Chaogate encoding, we optimize its tunable parameters to reconfigure the Chaogate for standard logic gate functions. This novel approach allows us to bring the well established tools of machine learning to optimizing Chaogates
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Multi-wave resonances in the diatomic [formula omitted]-FPUT system Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-23 A. Pezzi, G. Deng, Y. Lvov, M. Lorenzo, M. Onorato
We examine a diatomic chain with a cubic anharmonic potential. Following the celebrated α-FPUT model, we refer to the present system as the diatomic α–FPUT model. By introducing new canonical variables, we diagonalize the harmonic part of the Hamiltonian, and, using these new variables, we analyze the nonlinear interactions between the acoustic and optical branches of the dispersion relation. In terms
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A novel Riemann–Hilbert formulation-based reduction method to an integrable reverse-space nonlocal Manakov equation and its applications Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-23 Jianping Wu
In this paper, a novel Riemann–Hilbert (RH) formulation-based reduction method is developed for an integrable reverse-space nonlocal Manakov equation. Firstly, the scattering-data constraints of the reverse-space nonlocal Manakov equation are shown to be difficult to determine via the traditional RH method. Secondly, to obtain the scattering-data constraints of the reverse-space nonlocal Manakov equation
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Corner states in photonic T-graphene lattices protected by one-dimensional topological phase transition Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-22 Guanhuai Cheng, Chengzhen Lu, Guomei Zhu, Yangjian Cai, Yuanmei Gao, Zengrun Wen
Corner states are a type of zero-dimensional states formed through symmetry or higher-order topology, typically found in photonic lattices with two or more dimensions. These states are generally protected by the higher-order topology of the lattice and exhibit strong robustness, remaining immune to local defects and perturbations. In this study, we investigate zigzag-zigzag, armchair-armchair, and
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Fractional-order clique functions to solve left-sided Bessel fractional integro-differential equations Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-22 P. Rahimkhani, Y. Ordokhani, M. Razzaghi
In this study, we consider a new class of nonlinear integro-differential equations with the Bessel fractional integral-derivative. For solving the considered equations, fractional-order clique functions (FCFs), and some of their properties are introduced. First, we approximate the unknown function and its derivatives/integrals in terms of the FCFs. Then, we substitute these approximations and their
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Effects of mortality on a predator–prey model in crisp, fuzzy, and spatial environments: A dynamical approach Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-22 Shivam, Teekam Singh, Shivam Rawat, Anupam Singh
The dynamic relationship between predators and prey plays a vital role in upholding equilibrium within the natural environment. Mortality plays a crucial role in maintaining the delicate equilibrium of ecosystems. This paper delves into the consequences of mortality in a predator–prey model that incorporates hydra, the Allee effect, and mutual interference among predators. We first established a crisp
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Using 0–1 test to diagnose periodic and chaotic motions of nonlinear vortex-induced vibration energy harvesters Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-21 Xiaoqing Ma, Grzegorz Litak, Shengxi Zhou
Nonlinear wind-induced vibration energy harvesters have rich response dynamic behaviors, and diagnosing these response characteristics is crucial for promoting their application. This paper uses the analysis method of “0–1 test” to distinguish response characteristics of bistable and tristable vortex-induced vibration energy harvesters (VIVEHs), and the identification results are compared with the
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Adaptive continuous Quasi-Fixed-Time integral terminal sliding mode attitude control for BiFlying-Wings tail-sitter unmanned aerial vehicles during flight mode transition Chaos Solitons Fractals (IF 5.3) Pub Date : 2025-01-21 Dong Wang, Zheng Qiao, Guangxin Wu, Jiahui Xu, Xinbiao Pei, Yue Bai
To address the attitude control problem of biplane tail-sitter unmanned aerial vehicles (BFWTSUAV) during flight mode transitions, which are susceptible to various uncertainties such as unmodeled nonlinear dynamics and external disturbances, this paper proposes an adaptive continuous Quasi-Fixed-Time integral terminal sliding mode controller (ACQFITSMC). The proposed ACQFITSMC combines the advantages