-
Development of a carbuncle-free and low-dissipation Roe-type scheme: Applications to multidimensional Euler flows Commun. Nonlinear Sci. Numer. Simul. (IF 4.186) Pub Date : 2022-08-13 Lijun Hu, Zhaosheng Feng
The Roe scheme is known to have high resolution but to be afflicted by the notorious shock anomalies (such as the carbuncle phenomena) and the unphysical expansion shocks. This paper aims to develop a new Roe-type scheme which is robust for strong shock waves and low dissipative for contact waves and shear layers. Based on the mechanism analysis of shock instability, a dissipation-controlling strategy
-
Stochastic Volterra integral equations with doubly singular kernels and their numerical solutions Commun. Nonlinear Sci. Numer. Simul. (IF 4.186) Pub Date : 2022-08-12 Min Li
This paper first constructs a Milstein-type scheme for stochastic Volterra integral equations with doubly singular kernels. Then, we also study the Hölder continuity of the solution to these equations and investigate the convergence rate of the Milstein scheme. More precisely, the mean–square convergence rate is min{1−α1−β1,1−2α2−2β2}, where α1,α2,β1,β2 are the singularity exponents of the equations
-
On the existence of traveling fronts in the fractional-order Amari neural field model Commun. Nonlinear Sci. Numer. Simul. (IF 4.186) Pub Date : 2022-08-10 L.R. González-Ramírez
In this work, we establish the existence of traveling fronts in a fractional-order formulation of the Amari neural field model. Fractional-order models act as a memory index of the underlying dynamical system. Therefore, in a fractional-order neural field model, we potentially incorporate the effect of neuronal collective memory. Considering Caputo’s fractional derivative framework and a fractional-order
-
Global dynamics for a class of tristable system with negative stiffness Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-13 Biliu Zhou, Yanfei Jin, Huidong Xu
Tristable system with negative stiffness has attracted extensive attention in the low frequency vibration isolation and vibration energy harvester. As a low frequency vibration isolator, it can achieve high static stiffness and low dynamic stiffness. As a vibration energy harvester, it had a wider bandwidth for resonance than the bistable one. The introduction of negative stiffness may induce subharmonic
-
Identifying influential nodes in social networks: Centripetal centrality and seed exclusion approach Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-13 Yan Wang, Haozhan Li, Ling Zhang, Linlin Zhao, Wanlan Li
Identifying influential nodes in a network is vital for the study of social network structure and to facilitate the dissemination of requisite information. The challenge we address is that, given a complex network, which nodes are more important? How can a group of disseminators be identified and selected to maximize any given field of influence? A series of centrality measures are proposed from different
-
Some local fractional Maclaurin type inequalities for generalized convex functions and their applications Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-12 B. Meftah, A. Souahi, M. Merad
In this paper, we establish a new local fractional integral identity involving three point by the use of Peano kernel approach. Using this identity we derive some new local fractional integrals inequalities of Maclaurin-type for functions whose local fractional derivatives are generalized convex functions. In order to show the effectiveness of the obtained results, we apply them in numerical integration
-
Generalized correlation dimension and heterogeneity of network spaces Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-13 Chun-Xiao Nie
Many systems can be transformed into collections containing a large number of networks, such as dynamic networks. Defining metrics on a set of networks leads to analyzing a discrete metric space. In this study, we calculate the generalized correlation dimension of the network space and discuss the relationship between the dimension series and the heterogeneity index. Model-based analysis shows that
-
Resemblance of the power-law scaling behavior of a non-Markovian and nonlinear point processes Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-13 Aleksejus Kononovicius, Rytis Kazakevičius, Bronislovas Kaulakys
We analyze the statistical properties of a temporal point process driven by a confined fractional Brownian motion. The event count distribution and power spectral density of this non-Markovian point process exhibit power-law scaling. We show that a nonlinear Markovian point process can reproduce the same scaling behavior. This result indicates a possible link between nonlinearity and apparent non-Markovian
-
A New Enthalpy of Formation Test Set Designed for Organic Fluorine Containing Compounds (Adv. Theory Simul. 8/2022) Adv. Theory Simul. (IF 4.105) Pub Date : 2022-08-11 Yitao Si, Yingzhe Liu, Weipeng Lai, Yiding Ma, Jinwen Shi, Bozhou Wang, Maochang Liu, Tao Yu
-
Coding-Feeding Metasurface for Diffusion and Dual-Band Emission (Adv. Theory Simul. 8/2022) Adv. Theory Simul. (IF 4.105) Pub Date : 2022-08-11 Guo Shuai Huang, Si Jia Li, Zhuo Yue Li, Xiao Bin Liu, Liao Ri Ji Di, Xiang Yu Cao
-
Implementation of convolution neural network using scalogram for identification of epileptic activity Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-12 Arshpreet Kaur, Kumar Shashvat
Background Inter-ictal state is a period between convolutions (seizures). Expert neurologist looks for inter-ictal activity within this period to support the diagnosis of epilepsy. The focus of this work is to automate the process of identification of inter-ictal activity from EEG and to distinguish it from the activity of a controlled patient. Also, we have worked on differentiating between different
-
Fractal interpolation over nonlinear partitions Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-12 Peter R. Massopust
This paper introduces the fractal interpolation problem defined over domains with a nonlinear partition. This setting generalizes known methodologies regarding fractal functions and provides a new holistic approach to fractal interpolation. In this context, perturbations of nonlinear partition functions are considered and sufficient conditions for the existence of a unique solution of the underlying
-
Numerical search for the stationary quasi-breather of the graphene superlattice equation Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-11 Francisca Martin-Vergara, Francisco Rus, Francisco R. Villatoro
The propagation of electromagnetic solitons in a graphene superlattice device is governed by a modified sine-Gordon equation, referred to as the graphene superlattice equation. Kink-antikink collisions suggest the existence of a quasi-breather solution. Here, a numerical search for static quasi-breathers is undertaken by using a new initial condition obtained by a regular perturbation of the null solution
-
A novel approach for solving linear and nonlinear time-fractional Schrödinger equations Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-12 Muhammad Imran Liaqat, Ali Akgül
There is significant literature on Schrödinger differential equation (SDE) solutions, where the fractional derivatives are stated in terms of Caputo derivative (CD). There is hardly any work on analytical and numerical SDE solutions involving conformable fractional derivative (CFD). For the reasons stated above, we are required to solve the SDE in the form of CFD. The main goal of this research is
-
Homogenisation for the monodomain model in the presence of microscopic fibrotic structures Commun. Nonlinear Sci. Numer. Simul. (IF 4.186) Pub Date : 2022-08-11 Brodie A.J. Lawson, Rodrigo Weber dos Santos, Ian W. Turner, Alfonso Bueno-Orovio, Pamela Burrage, Kevin Burrage
Computational models in cardiac electrophysiology are notorious for long runtimes, restricting the numbers of nodes and mesh elements in the numerical discretisations used for their solution. This makes it particularly challenging to incorporate structural heterogeneities on small spatial scales, preventing a full understanding of the critical arrhythmogenic effects of conditions such as cardiac fibrosis
-
Finite-time mixed H∞ and passivity analysis for Takagi–Sugeno fuzzy system with time-varying delays and actuator faults Commun. Nonlinear Sci. Numer. Simul. (IF 4.186) Pub Date : 2022-08-08 Di Mao, Yuechao Ma
This paper comes up with an novel augmented Lyapunov-Krasovskii functional (LKF) approach to process finite-time passivity-based H∞ non-fragile state feedback control issue of Takagi–Sugeno fuzzy system (TSFS) via taking the effects of both time-varying delays and actuator faults. Designing a non-fragile controller to guarantee that TSFS is finite-time bounded (FTB) and meet finite-time mixed H∞ and
-
Effect of quartic-quintic beyond-mean-field interactions on a self-bound dipolar droplet Commun. Nonlinear Sci. Numer. Simul. (IF 4.186) Pub Date : 2022-08-08 Luis E. Young-S., S.K. Adhikari
We study the effect of beyond-mean-field quantum-fluctuation (QF) Lee-Huang-Yang (LHY) and three-body interactions, with quartic and quintic nonlinearities, respectively, on the formation of a stable self-repulsive (positive scattering length a) and a self-attractive (negative a) self-bound dipolar Bose–Einstein condensate (BEC) droplet in free space under the action of two-body contact and dipolar
-
Discrete fractional cobweb models Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-10 Martin Bohner, Jagan Mohan Jonnalagadda
In this article, we propose two types of discrete fractional cobweb models. We derive the analytical solutions of these models and establish sufficient conditions on the stability of their equilibria. We also provide two examples to demonstrate the applicability of our main results.
-
Demonstration of unique problems from Soliton solutions to nonlinear Selkov–Schnakenberg system Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-11 Muhammad S. Iqbal, Aly R. Seadawy, Muhammad Z. Baber
This article investigates the existence theory, exact solutions, and the unique solutions of physical problems. In this study the well-known Selkov–Schnakenberg system of coupled nonlinear unidirectional PDEs is analyzed. This is a simple chemical reaction system that admits periodic solutions. The existence of the system is extracted by applying contraction and self-mapping conditions. The new families
-
Chebyshev cardinal polynomials for delay distributed-order fractional fourth-order sub-diffusion equation Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-10 M.H. Heydari, M. Razzaghi, J. Rouzegar
In this work, a category of delay distributed-order time fractional fourth-order sub-diffusion equations is investigated. The Chebyshev cardinal polynomials (as a proper class of basis functions) are employed to make an appropriate methodology for these problems. To this end, some matrix relationships regarding the distributed-order fractional differentiation (in the Caputo kind) of these polynomials
-
Scaling properties of a class of interfacial singular equations Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-10 Mohamed Guedda, Krisztian Hriczo, Laila Taourirte, Jihade Chaiboub, Gabriella Bognar
This paper can be considered as an introductory review of scale invariance theories illustrated by the study of the equation ∂th=−∂x∂xh1−2ν+∂xxxh, where ν>1/2. The d−dimensionals version of this equation is proposed for ν≥1 to discuss the coarsening of growing interfaces that induce a mound-type structure without slope selection (Golubović, 1997). Firstly, the above equation is investigated in detail
-
Resistive state relaxation time in ZrO2(Y)-based memristive devices under the influence of external noise Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-10 M.N. Koryazhkina, D.O. Filatov, V.A. Shishmakova, M.E. Shenina, A.I. Belov, I.N. Antonov, V.E. Kotomina, A.N. Mikhaylov, O.N. Gorshkov, N.V. Agudov, C. Guarcello, A. Carollo, B. Spagnolo
The effects of external digitally synthesized Gaussian noise on the resistive state relaxation time of a ZrO2(Y)-based memristive device when switching from a low resistance state to a high resistance state have been experimentally investigated. A nonmonotonic dependence of the resistive state relaxation time on the external noise intensity is found. This behavior is interpreted as a manifestation
-
Multistability, chaos and mean population density in a discrete-time predator–prey system Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-11 Rajni, Bapan Ghosh
We investigate a discrete-time system derived from the continuous-time Rosenzweig–MacArthur (RM) model using the forward Euler scheme with unit integral step size. First, we analyze the system by varying carrying capacity of the prey species. The system undergoes a Neimark–Sacker bifurcation leading to complex behaviors including quasiperiodicity, periodic windows, period-bubbling, and chaos. We use
-
Dynamics in the biparametric spaces of a three-species food chain model with vigilance Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-10 Mainul Hossain, Ruma Kumbhakar, Nikhil Pal
In nature, vigilance is a common anti-predator strategy prey individuals employ to protect themselves from a possible attack. It gives them sufficient time to take cover or flee. Yet this seemingly profitable strategy, which lowers the number of successful predatory attacks, has a significant impact on the prey's growth rate. Researchers attribute this to reduced foraging time. In this article, we
-
Spatial dynamics of a fractional predator-prey system with time delay and Allee effect Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-10 Zhimin Bi, Shutang Liu, Miao Ouyang
In this paper, we investigate the spatial dynamics of a class of spatial fractional predator-prey systems with time delay and Allee effect. Firstly, Hopf bifurcation and Turing bifurcation conditions are obtained by using stability theory and bifurcation theory. Then, the abundant dynamic behaviors of the system are demonstrated by numerical simulation. Finally, numerical results show that time delay
-
Bright solitons in fractional coupler with spatially periodical modulated nonlinearity Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-10 S.R. Li, Y.Y. Bao, Y.H. Liu, T.F. Xu
We study bright solitons in the fractional coupler with a spatially periodical modulated nonlinearity. The results show that the linear coupling constant κ, Lévy index α, chemical potential μ and nonlinear intensity g have a significant influence on the amplitude, width and stability of fundamental solitons, dipole solitons and tripole solitons. We investigate the stability of bright solitons by linear
-
Regarding the shallow water in an ocean via a Whitham-Broer-Kaup-like system: hetero-Bäcklund transformations, bilinear forms and M solitons Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-10 Xin-Yi Gao, Yong-Jiang Guo, Wen-Rui Shan
Considering the water waves, people have investigated many systems. In this paper, what we study is a Whitham-Broer-Kaup-like system for the dispersive long waves in the shallow water in an ocean. With respect to the water-wave horizontal velocity and deviation height from the equilibrium of the water, we construct (A) two branches of the hetero-Bäcklund transformations, from that system to a known
-
Some novel mathematical analysis on the fractal–fractional model of the AH1N1/09 virus and its generalized Caputo-type version Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-10 Sina Etemad, Ibrahim Avci, Pushpendra Kumar, Dumitru Baleanu, Shahram Rezapour
In this paper, we formulate a new model of a particular type of influenza virus called AH1N1/09 in the framework of the four classes consisting of susceptible, exposed, infectious and recovered people. For the first time, we here investigate this model with the help of the advanced operators entitled the fractal–fractional operators with two fractal and fractional orders via the power law type kernels
-
Chance-constrained sneaking trajectory planning for reconnaissance robots Appl. Mathmat. Model. (IF 5.336) Pub Date : 2022-08-06 Haijun Peng, Jinqiu Bao, Guoke Huang, Zirun Li, Xinwei Wang
Mobile robots have been widely used in various military applications, where an efficient and robust trajectory planner is of vital importance. In this paper, we focus on the sneaking trajectory planning of reconnaissance robots with consideration of uncertainty in the geometric parameters of the watchtower's searchlight. By analyzing the motion equations and the mission requirements, the trajectory
-
The limit dynamics for the vacuum Einstein equations in a homogeneous universe Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-08 Jaume Llibre
We study the dynamics of the Bianchi IX universe when one of the structure constants tends to zero, i.e. we study the dynamics of the Bianchi VII universe. We prove that there is a surface filled of periodic orbits surrounding an equilibrium point, and that except for another surface filled of equilibria the remainder orbits comes and go to infinity.
-
Embedded solitons with χ(2) and χ(3) nonlinear susceptibilities having multiplicative white noise via Itô Calculus Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-09 Elsayed M.E. Zayed, Mohamed E.M. Alngar, Reham M.A. Shohib, Anjan Biswas, Yakup Yıldırım, Luminita Moraru, Elena Mereuta, Hashim M. Alshehri
The objective of this paper is to locate the embedded solitons with χ(2) and χ(3) nonlinear susceptibilities in presence of multiplicative noise. Itô Calculus was implemented to carry out the analysis of the corresponding stochastic differential equation. The unified Riccati equation expansion method and enhanced Kudryashov’s approach yielded dark, bright and singular solitons. The derived soliton
-
Analysis of nonlinear fractional optimal control systems described by delay Volterra–Fredholm integral equations via a new spectral collocation method Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-08 Hamid Reza Marzban, Atiyeh Nezami
We aim to introduce a new spectral collocation method for investigating and analyzing nonlinear delay control systems governed by the fractional mixed Volterra–Fredholm integral equations (MVFIEs). The generalized fractional Legendre basis (GFLB) is used as a complete orthogonal basis, and the fractional Legendre–Gaussian nodes are introduced and employed as the fractional collocation points. These
-
Optimal loading of hydrogel-based drug-delivery systems Appl. Mathmat. Model. (IF 5.336) Pub Date : 2022-08-05 Matthew J. Penn, Matthew G. Hennessy
Drug-loaded hydrogels provide a means to deliver pharmaceutical agents to specific sites within the body at a controlled rate. The aim of this paper is to understand how controlled drug release can be achieved by tuning the initial distribution of drug molecules in a hydrogel. A mathematical model is presented for a spherical drug-loaded hydrogel. The model captures the nonlinear elasticity of the
-
Piecewise smooth systems with a pseudo-focus: a normal form approach Appl. Mathmat. Model. (IF 5.336) Pub Date : 2022-08-05 Marina Esteban, Emilio Freire, Enrique Ponce, Francisco Torres
To cope with higher degenerations, some previous results about computable normal forms are extended for two dimensional systems having a pseudo-focus within its discontinuity line. More precisely, it is shown how the standard theory of normal forms allows the analysis of pseudo-focus points when the contact order with the discontinuity boundary, being even for both vector fields, is different from
-
Energy Level Diagram of 3d2 Configuration in Tetrahedral Crystal Field and Its Applications to Cr4 + /Mn5 + -Doped Luminescent Materials Adv. Theory Simul. (IF 4.105) Pub Date : 2022-08-04 Zhen Song, Quanlin Liu
-
Differential Operator Approximation Based Tightly Coupled Multiphysics Solver Using Cascaded Fourier Network Adv. Theory Simul. (IF 4.105) Pub Date : 2022-08-04 Yinpeng Wang, Hongyu Gao, Qiang Ren
-
Hyperbolic (2+1)-dimensional Schrödinger equation: Similarity analysis, Optimal system and complexitons for the one-parameter group of rotations Commun. Nonlinear Sci. Numer. Simul. (IF 4.186) Pub Date : 2022-08-06 Vikas Kumar, Ram Jiwari, Aloev Rakhmatullo Djurayevich, Mirzoali Urazaliyevich Khudoyberganov
The current study is dedicated to find the complex soliton solutions of the hyperbolic (2+1)-dimensional nonlinear Schrödinger equation. In this direction we takes the help of Lie Symmetry analysis method. First of all we obtained the invariant condition which play important role in the mechanism of Lie symmetry method. After that we obtained the symmetries of the hyperbolic Schrödinger equation. These
-
Validated integration of differential equations with state-dependent delay Commun. Nonlinear Sci. Numer. Simul. (IF 4.186) Pub Date : 2022-08-06 Kevin E.M. Church
We present an implicit method of steps for differential equations with state-dependent delays and validated numerics to rigorously enclose solutions of initial-value problems. Our approach uses a combination of contraction mapping arguments based on a Newton-Kantorovich type theorem and piecewise polynomial interpolation. Completing multiple steps of integration is challenging, and we resolve it by
-
Approximate solutions for the fractional order quadratic Riccati and Bagley-Torvik differential equations Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-06 Mohamed Fathy, K.M. Abdelgaber
The Galerkin method is presented and applied for getting semi-analytical solutions of quadratic Riccati and Bagley-Torvik differential equations in fractional order. New theorems are proved to minimize the generated residual after invoking the Legendre polynomials as a basis in the Galerkin method. The proposed method is compared with other methods by solving some initial value problems of different
-
Reliability modeling of uncertain random fractional differential systems with competitive failures Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-06 Qinqin Xu, Yuanguo Zhu
Typical degradation-shock failure processes have been widely investigated in current researches, and the failures caused by their dependence are described as competitive failure processes. This paper explores competitive failure modes for uncertain random fractional systems involving degradation and shock processes. We develop a wear degradation model explicitly by employing uncertain fractional differential
-
Numerical investigation of fractional-order cholera epidemic model with transmission dynamics via fractal–fractional operator technique Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-06 Saima Rashid, Fahd Jarad, Abdulaziz Khalid Alsharidi
The goal of this research is to determine if it is conceptually sufficient to eliminate infection in a community by utilizing mathematical modelling and simulation techniques when appropriate protective controls are adopted. In this research, we investigate the straightforward interaction transmission method to create a deterministic mathematical formulation of cholera infectious dynamics via the fractal–fractional
-
Transfer matrix method for analyzing dynamic response of multi-span elastically supported SFT under moving load Appl. Mathmat. Model. (IF 5.336) Pub Date : 2022-08-06 Chaoqi Gao, Yiqiang Xiang, Yunshen Yang, Heng Lin
This paper proposed a new theoretical model for analyzing the submerged floating tunnel(SFT) under moving load, whose boundary at two ends was regarded as elastic constraint, and the anchor cable was simplified as the discrete spring support. Besides, the tunnel joint was simulated as a flexural spring to connect two adjacent tube segments. The modes and natural frequencies of the model were solved
-
Static analysis of planar arbitrarily curved microbeams with the modified couple stress theory and Euler-Bernoulli beam model Appl. Mathmat. Model. (IF 5.336) Pub Date : 2022-08-06 Duy Vo, Pana Suttakul, Jaroon Rungamornrat, Pruettha Nanakorn
This study addresses the deficiency of means for analysis of planar arbitrarily curved microbeams. More precisely, a formulation is developed for static analysis employing the modified couple stress theory and the Euler-Bernoulli beam model. Geometric and kinematic descriptions of a slender three-dimensional continuum body are consistently reduced to those of its beam axis. A systematic framework is
-
A (2+1)-dimensional modified dispersive water-wave (MDWW) system: Lie symmetry analysis, optimal system and invariant solutions Commun. Nonlinear Sci. Numer. Simul. (IF 4.186) Pub Date : 2022-08-05 Deepika Singh, Shalini Yadav, Rajan Arora
In this article, the authors study a (2+1)-dimensional MDWW system, which describes the non-linear and dispersive long gravity waves traveling in two horizontal directions on shallow waters of uniform depth. The Lie group theoretic approach is employed to find the similarity reductions and analytic solutions of the (2+1)-dimensional MDWW system. The infinitesimal generators for the considered system
-
Deep learning solver for solving advection-diffusion equation in comparison to finite difference methods Commun. Nonlinear Sci. Numer. Simul. (IF 4.186) Pub Date : 2022-08-05 Ahmed Khan Salman, Arman Pouyaei, Yunsoo Choi, Yannic Lops, Alqamah Sayeed
In numerical modeling, the advection-diffusion equation describes the long-range transport of atmospheric pollutants. Most numerical models in the atmospheric science community are based on finite difference methods (FDM). In this study, we conduct a comprehensive comparative analysis of standard FDM-based numerical solvers with a deep learning-based solver, the objective of which is to solve the 2D
-
Three-dimensional dynamics and synchronization of two coupled fluid-conveying pipes with intermediate springs Commun. Nonlinear Sci. Numer. Simul. (IF 4.186) Pub Date : 2022-08-04 T.L. Jiang, L.B. Zhang, Z.L. Guo, H. Yan, H.L. Dai, L. Wang
A system of two coupled oscillating structures may experience dynamical synchronization under coupling effects. Dynamical synchronization refers to the process in which two vibrating structures under coupling effects may display similar dynamics and vibrational behaviors even though their important parameters are not equivalent. In this study, the three-dimensional dynamics and synchronization behaviors
-
Synchronization phenomena in dual-transistor spiking oscillators realized experimentally towards physical reservoirs Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-05 Ludovico Minati, Jim Bartels, Chao Li, Mattia Frasca, Hiroyuki Ito
Transistor-based chaotic oscillators are known to realize highly diverse dynamics despite having elementary circuit topologies. This work investigates, numerically and experimentally using a ring network, a recently-introduced dual-transistor circuit that generates neural-like spike trains. A multitude of non-trivial effects are observed as a function of the supply voltage and coupling strength, including
-
A new chaotic system with novel multiple shapes of two-channel attractors Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-04 Chenyang Hu, Qiao Wang, Xiefu Zhang, Zean Tian, Xianming Wu
In this paper, a three-dimensional nonlinear system with only one equilibrium point is constructed based on the Anishchenko-Astakhov oscillator. The system is analyzed in detail using time-domain waveform plots, phase diagrams, bifurcation diagrams, Lyapunov exponent spectra, basins of attraction, spectral entropy, and C0 complexity (a parameter for dynamic properties). It is found that this system
-
Stability and bifurcation analysis of a fractional order delay differential equation involving cubic nonlinearity Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-04 Sachin Bhalekar, Deepa Gupta
Fractional derivative and delay are important tools in modeling memory properties in the natural system. This work deals with the stability analysis of a fractional order delay differential equation Dαx(t)=δx(t−τ)−ϵx(t−τ)3−px(t)2+qx(t).We provide linearization of this system in a neighborhood of equilibrium points and propose linearized stability conditions. To discuss the stability of equilibrium
-
Immunization strategies for false information spreading on signed social networks Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-04 Ai-Wen Li, Xiao-Ke Xu, Ying Fan
With high-speed communication and information sharing in social networks, the effective immunity to specific false information would markedly reduce the loss brought by the spreading of false information. To date, most studies only focus on the immunity of positive relationships for information spreading between individuals. However, negative relationships also exist in social networks and might have
-
Evolution of cooperation driven by diversity on a double-layer square lattice Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-05 Yu’e Wu, Zhipeng Zhang, Guoli Yang, Haixin Liu, Qingfeng Zhang
Understanding the potential promotion mechanism for the formation and maintenance of cooperation is a pivotal issue in the development of human society and the natural world. Evolutionary games provide a forceful theoretical tool to probe into the essence of cooperative behaviors. It is considered that diversity (heterogeneity) is a common attribute of individuals and their interaction environment
-
The enriched degree of freedom method for the absorbing boundary and its application to XFEM in elastodynamic problems Appl. Mathmat. Model. (IF 5.336) Pub Date : 2022-08-05 Junwei Chen, Xiaoping Zhou, Jiannan Zhou
For elastodynamic problems, significant effort has been exerted by numerical researchers to eliminate the reflection of outgoing elastic waves at the boundary of the computational domain. Eliminating these reflection is very important for correctly analyzing the dynamic response of various structures. In this paper, the enriched degree of freedom method is first proposed to absorb outgoing elastic
-
Dynamic response of pile group in two-layered soils under scour condition by FEM-ALEM approach Appl. Mathmat. Model. (IF 5.336) Pub Date : 2022-08-05 Lihua Wang
Pile groups for the bridge and jacket foundations in the marine or traffic geotechnical engineering are significantly influenced by the current scour in service. Under the effects of scour and dynamic load, the capability of the pile foundations to resist deformation is reduced and thus causes structural failure. This paper presents a FEM-ALEM coupling approach to study the dynamic interaction between
-
A possibilistic-robust-fuzzy programming model for designing a game theory based blood supply chain network Appl. Mathmat. Model. (IF 5.336) Pub Date : 2022-08-05 Peiman Ghasemi, Fariba Goodarzian, Ajith Abraham, Saeed Khanchehzarrin
This paper presents a bi-level blood supply chain network under uncertainty during the COVID-19 pandemic outbreak using a Stackelberg game theory technique. A new two-phase bi-level mixed-integer linear programming model is developed in which the total costs are minimized and the utility of donors is maximized. To cope with the uncertain nature of some of the input parameters, a novel mixed possib
-
Towards collision detection in foot and ankle deformity correction using parallel external fixator: A novel analytical approach Appl. Mathmat. Model. (IF 5.336) Pub Date : 2022-08-05 Shiping Zuo, Jianfeng Li, Mingjie Dong, Chunjing Tao, Ran Jiao, Guotong Li
Gradual correction using external fixator has been advocated as a minimally invasive solution for limb deformity and is widely used in the clinic. This treatment manner requires a long-term distraction process, which is guided by a preplanned correction path. However, bone cross-section (BCS) collision and soft tissue (ST)-distraction rod (DR) collision may occur on the path and then affect the continuity
-
Disturbance-term-based switching event-triggered synchronization control of chaotic Lurie systems subject to a joint performance guarantee Commun. Nonlinear Sci. Numer. Simul. (IF 4.186) Pub Date : 2022-08-04 Wenhuang Wu, Ling He, Jianping Zhou, Zuxing Xuan, Sabri Arik
This work is dedicated to the exponential synchronization of chaotic Lurie systems subject to a joint performance guarantee via a disturbance-term-based switching event-triggered control. For the sake of network resources saving, a novel event-triggering scheme is devised for chaotic Lurie systems. Therein, the disturbance term is additionally integrated into the threshold function of the scheme, which
-
Equilibrium validation for triblock copolymers via inverse norm bounds for fourth-order elliptic operators Commun. Nonlinear Sci. Numer. Simul. (IF 4.186) Pub Date : 2022-08-04 Peter Rizzi, Evelyn Sander, Thomas Wanner
Block copolymers play an important role in materials sciences and have found widespread use in many applications. From a mathematical perspective, they are governed by a nonlinear fourth-order partial differential equation which is a suitable gradient of the Ohta–Kawasaki energy. While the equilibrium states associated with this equation are of central importance for the description of the dynamics
-
Thermal–fluid topology optimization with unconditional energy stability and second–order accuracy via phase–field model Commun. Nonlinear Sci. Numer. Simul. (IF 4.186) Pub Date : 2022-08-04 Qing Xia, Gangming Sun, Qian Yu, Junseok Kim, Yibao Li
This paper aims to establish a novel and efficient topology optimization method for the thermal–fluid. To adaptively design the fluid-solid coupling structure and make the objective energy to dissipate, the proposed method considers several constraints, such as the volume conservation, inlet and outlet flow velocity field and fluid-solid boundary constraints. The governing system includes the phase–field
-
Effects of wind on transient dispersion of active particles in a free-surface wetland flow Commun. Nonlinear Sci. Numer. Simul. (IF 4.186) Pub Date : 2022-08-02 M.Y. Guan, L. Zeng, W.Q. Jiang, X.L. Guo, P. Wang, Z. Wu, Z. Li, G.Q. Chen
Mechanisms of active-particle transport in a wetland flow under wind are significant for understanding various biological and ecological processes associated with wetlands. A transport model has been formulated to characterize the transient dispersion of active particles in a typical free-surface wetland flow exposed to wind. The transient evolution of total quantity, centred moving velocity, longitudinal
-
Construction of dense maximal-dimensional hypercyclic subspaces for Rolewicz operators Chaos Solitons Fractals (IF 9.922) Pub Date : 2022-08-04 L. Bernal-González, M.C. Calderón-Moreno, J. Fernández-Sánchez, G.A. Muñoz-Fernández, J.B. Seoane-Sepúlveda
In this paper, weighted backward shift operators Tw associated to a Schauder basis of a Banach space are considered. These operators are emblematic in the setting of linear chaos in topological vector spaces. In a constructive way, it is shown the existence of a dense linear subspace having maximal dimension, all of whose nonzero members are simultaneously Tw-hypercyclic for every w belonging to a