Int. J. Bifurc. Chaos最新文献_第2页

Approximate Equivalence of Higher-Order Feedback and Its Application in Chaotic Systems 高阶反馈的近似等效性及其在混沌系统中的应用

Int. J. Bifurc. Chaos Pub Date : 2024-01-01 DOI: 10.1142/s021812742450007x

Yikai Gao, Chunbiao Li, Irene Moroz, Haiyan Fu, Tengfei Lei

引用次数: 0

Global Dynamics of a Fisheries Economic Model with Gradient Adjustment 具有梯度调整功能的渔业经济模型的全球动态变化

Int. J. Bifurc. Chaos Pub Date : 2024-01-01 DOI: 10.1142/s0218127424500123

Huan Zhou, Xian-Feng Li, Jun Jiang, Andrew Y. T. Leung

{"title":"Global Dynamics of a Fisheries Economic Model with Gradient Adjustment","authors":"Huan Zhou, Xian-Feng Li, Jun Jiang, Andrew Y. T. Leung","doi":"10.1142/s0218127424500123","DOIUrl":"https://doi.org/10.1142/s0218127424500123","url":null,"abstract":"Taking into account the nonlinear demand function, we have developed a multi-agent fishery economic model, where a multitude of agents are bounded by rationality. The fishing decisions of these agents are driven by a profit gradient mechanism. To assess the local stability of the system, stability analysis is performed with the Jury criterion. The investigation has revealed the presence of two conventional paths to chaos, namely, the flip bifurcation and the Neimark–Sacker bifurcation. This was achieved by mapping the stability regions and stability curves of the Nash equilibrium. The multistability of the system is further explored on two-dimensional planes on which the influence of joint parameters on the system’s stability is demonstrated. The existence of Arnold’s tongue has demonstrated unparalleled complexity and intricate interactions across different scales of the system. Both critical curves and basins of attraction are illustrated to gain insight into global bifurcations. The chaotic attractor is found to be confined within specific boundaries. The findings clearly show higher maximum instantaneous demand, relatively slower adjustment speed, and lower price sensitivity. Arguably, a controlled cost would lead to sustainable fishing resources. Moreover, the results also suggest that the agents would benefit more from confined conditions.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"107 5","pages":"2450012:1-2450012:14"},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140521630","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Some Properties of a Discrete Lorenz System Obtained by Variable Midpoint Method and Its Application to Chaotic Signal Modulation 用可变中点法获得的离散洛伦兹系统的一些特性及其在混沌信号调制中的应用

Int. J. Bifurc. Chaos Pub Date : 2024-01-01 DOI: 10.1142/s0218127424500093

V. Rybin, D. Butusov, Ivan Babkin, Dmitriy Pesterev, Viacheslav Arlyapov

{"title":"Some Properties of a Discrete Lorenz System Obtained by Variable Midpoint Method and Its Application to Chaotic Signal Modulation","authors":"V. Rybin, D. Butusov, Ivan Babkin, Dmitriy Pesterev, Viacheslav Arlyapov","doi":"10.1142/s0218127424500093","DOIUrl":"https://doi.org/10.1142/s0218127424500093","url":null,"abstract":"Various discretization effects caused by applying numerical integration techniques to continuous chaotic systems are broadly studied in nonlinear science. Along with the negative impact on the precision of the various finite-difference schemes, such effects may have surprisingly fruitful practical applications, e.g. pseudo-random number generation, image encryption with improved diffusion and confusion properties, chaotic path planning, and many others. One such application is chaos-based communication systems which gained attention in recent decades due to their high covertness and broadband transmission capability. A crucial problem in the design of chaotic communication systems is the modulation of carrier signals. Due to the noise-like properties of chaotic signals, they can barely be modulated using the same methods as conventional harmonic signals. Thus, developing new modulation techniques is of great interest in the field of chaotic communications. In this study, we investigate the discrete model of the Lorenz oscillator obtained using controllable midpoint numerical integration and develop a novel modulation technique for chaos-based communication systems. We discover and analyze the multistability phenomenon in the dynamics of the investigated finite-difference Lorenz model through bifurcation, the basin of attraction, and Lyapunov spectrum analysis procedures. Using a specially designed testbench, we explicitly show that the proposed modulation method outperforms commonly used parametric modulation and is nearly equal to the state-of-the-art symmetry-based modulation in terms of covertness and noise resistivity. In addition, the proposed modulation technique is much easier to implement using computer arithmetics, especially in fixed-point hardware. The reported results may be efficiently applied to designing advanced chaos-based communications systems or improving the characteristics of existing communication system architectures.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"107 9","pages":"2450009:1-2450009:16"},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140526365","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

Generating Chaos with Saddle-Focus Homoclinic Orbit 用鞍焦同位轨道生成混沌

Int. J. Bifurc. Chaos Pub Date : 2024-01-01 DOI: 10.1142/s0218127424500111

Chaoxia Zhang, Shangzhou Zhang, Yuqing Zhang

引用次数: 0

Modeling the Bifurcation Dynamics of Rumor Propagation in the Spatial Environment 空间环境中谣言传播的分岔动态建模

Int. J. Bifurc. Chaos Pub Date : 2024-01-01 DOI: 10.1142/s0218127424500056

Linhe Zhu, Xinlin Chen

{"title":"Modeling the Bifurcation Dynamics of Rumor Propagation in the Spatial Environment","authors":"Linhe Zhu, Xinlin Chen","doi":"10.1142/s0218127424500056","DOIUrl":"https://doi.org/10.1142/s0218127424500056","url":null,"abstract":"The harm caused by rumors is immeasurable. Studying the dynamic characteristics of rumors can help control their spread. In this paper, we propose a nonsmooth rumor model with a nonlinear propagation rate. First, we utilize the positive invariant regions to prove the boundedness of solutions. Second, we analyze the conditions for the existence of equilibrium points in both the left and right systems. Additionally, we confirm the occurrence of saddle-node bifurcation in the left system. Next, by considering the influence of spatial diffusion, we establish the conditions for Turing instability. Then we discuss the conditions for spatial homogeneous and inhomogeneous Hopf bifurcations in the left and right systems, respectively. We differentiate between supercritical and subcritical bifurcations using the Lyapunov coefficient. Furthermore, we examine the conditions for the existence of discontinuous Hopf bifurcation at the demarcation point. Finally, in the numerical simulation section, we validate our theorems on Turing patterns. We also investigate the impact of parameter changes on rumor propagation and conclude that an increase in the psychological inhibitory factor significantly reduces the rate of rumor propagation, providing an effective strategy for curbing rumors. To that end, we fit actual data to our system and the results are excellent, confirming the validity of the system.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"28 5","pages":"2450005:1-2450005:29"},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140524626","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Memory Maps with Elliptical Trajectories 椭圆轨迹的记忆映射

Int. J. Bifurc. Chaos Pub Date : 2023-07-01 DOI: 10.1142/s0218127423300215

Ted Szylowiec, Pawel Góra

引用次数: 0

Homoclinic Bifurcations in a Class of Three-Dimensional Symmetric Piecewise Affine Systems 一类三维对称分段仿射系统的同斜分岔

Int. J. Bifurc. Chaos Pub Date : 2023-07-01 DOI: 10.1142/s0218127423501110

Ruimin Liu, Minghao Liu, Tiantian Wu

引用次数: 0

Uncovering the Correlation Between Spindle and Ripple Dynamics and Synaptic Connections in a Hippocampal-Thalamic-Cortical Model 揭示海马-丘脑-皮质模型中纺锤体和纹波动力学与突触连接之间的相关性

Int. J. Bifurc. Chaos Pub Date : 2023-07-01 DOI: 10.1142/s0218127423501092

S. Sriram, Hayder Natiq, K. Rajagopal, Fatemeh Parastesh, S. Jafari

{"title":"Uncovering the Correlation Between Spindle and Ripple Dynamics and Synaptic Connections in a Hippocampal-Thalamic-Cortical Model","authors":"S. Sriram, Hayder Natiq, K. Rajagopal, Fatemeh Parastesh, S. Jafari","doi":"10.1142/s0218127423501092","DOIUrl":"https://doi.org/10.1142/s0218127423501092","url":null,"abstract":"Consolidation of new information in memory occurs through the simultaneous occurrence of sharp-wave ripples (SWR) in the hippocampus network, fast–slow spindles in the thalamus network, and up and down oscillations in the cortex network during sleep. Previous studies have investigated the influential and active role of spindles and sharp-wave ripples in memory consolidation. However, a detailed investigation of the effect of membrane voltage of neurons and synaptic connections between neurons in the cortex, hippocampus, and thalamus networks to create spindle and SWR is required. This paper studies the dynamic behaviors of a hippocampal-thalamic-cortical network as a function of synaptic connection between excitatory neurons, inhibitory neurons (in the hippocampus and cortex), reticular neurons, and thalamocortical neurons (in the thalamic network). The bifurcation diagrams of the hippocampus, cortex, and thalamus networks are obtained by varying the strengths of different synaptic connections. The power diagrams for SWR and sleep spindles are shown accordingly. The results show that variations in synaptic self-connection (and inhibitory synaptic connection) of excitatory neurons in the CA3 region, as well as synaptic connection between excitatory neurons from CA1 region to excitatory neurons (and inhibitory neurons) in the cortex network have the most significant influence on dynamical behavior of the network. Furthermore, comparing diagrams for different synaptic connections shows that SWR is formed by excitatory neurons in CA3 region of the hippocampal network, passes through CA1 region, and enters cortex network.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"75 2 1","pages":"2350109:1-2350109:30"},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77259880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Nonlinear Vibration Analysis of the Coupled Gear-Rotor-Bearing Transmission System for a New Energy Vehicle 新能源汽车齿轮-转子-轴承耦合传动系统非线性振动分析

Int. J. Bifurc. Chaos Pub Date : 2023-07-01 DOI: 10.1142/s0218127423501055

Shuai Mo, Zhen Wang, Y. Zeng, Wei Zhang

{"title":"Nonlinear Vibration Analysis of the Coupled Gear-Rotor-Bearing Transmission System for a New Energy Vehicle","authors":"Shuai Mo, Zhen Wang, Y. Zeng, Wei Zhang","doi":"10.1142/s0218127423501055","DOIUrl":"https://doi.org/10.1142/s0218127423501055","url":null,"abstract":"Considering the effects of time-varying meshing stiffness, time-varying support stiffness, transmission errors, tooth side clearance and bearing clearance, a nonlinear dynamics model of the coupled gear-rotor-bearing transmission system of a new energy vehicle is constructed. Firstly, the fourth-order Runge–Kutta integral method is used to solve the differential equations of the system dynamics, and the time-varying meshing force diagram, time history diagram, phase diagram, FFT spectrum diagram, Poincaré map and bifurcation diagram of the system are obtained to study the influence of the external load excitation frequency on the dynamics characteristics of the system. In addition, the multiscale method is used to analyze the main resonance characteristics of the system and to determine the main resonance stability conditions of the system. The effect of time lag control parameters and external load excitation frequency on the main resonance of the system is analyzed by numerical methods. The results show that the gear-rotor-bearing coupled transmission system of the new energy vehicle has obviously nonlinear characteristics, avoiding the system instability interval reasonable selection of external load excitation frequency, meshing damping, time lag parameters and load fluctuations, which can be used to improve the stability of the transmission system of the new energy vehicle.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"39 1","pages":"2350105:1-2350105:25"},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81545330","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Solution Structures of an Electrical Transmission Line Model with Bifurcation and Chaos in Hamiltonian Dynamics 哈密顿动力学中具有分岔和混沌的输电线路模型的解结构

Int. J. Bifurc. Chaos Pub Date : 2023-07-01 DOI: 10.1142/s0218127423501080

Jian-ming Qi, Q. Cui, Le Zhang, Yiqun Sun

{"title":"Solution Structures of an Electrical Transmission Line Model with Bifurcation and Chaos in Hamiltonian Dynamics","authors":"Jian-ming Qi, Q. Cui, Le Zhang, Yiqun Sun","doi":"10.1142/s0218127423501080","DOIUrl":"https://doi.org/10.1142/s0218127423501080","url":null,"abstract":"Employing the Riccati–Bernoulli sub-ODE method (RBSM) and improved Weierstrass elliptic function method, we handle the proposed [Formula: see text]-dimensional nonlinear fractional electrical transmission line equation (NFETLE) system in this paper. An infinite sequence of solutions and Weierstrass elliptic function solutions may be obtained through solving the NFETLE. These new exact and solitary wave solutions are derived in the forms of trigonometric function, Weierstrass elliptic function and hyperbolic function. The graphs of soliton solutions of the NFETLE describe the dynamics of the solutions in the figures. We also discuss elaborately the effects of fraction and arbitrary parameters on a part of obtained soliton solutions which are presented graphically. Moreover, we also draw meaningful conclusions via a comparison of our partially explored areas with other different fractional derivatives. From our perspectives, by rewriting the equation as Hamiltonian system, we study the phase portrait and bifurcation of the system about NFETLE and we also for the first time discuss sensitivity of the system and chaotic behaviors. To our best knowledge, we discover a variety of new solutions that have not been reported in existing articles [Formula: see text], [Formula: see text]. The most important thing is that there are iterative ideas in finding the solution process, which have not been seen before from relevant articles such as [Tala-Tebue et al., 2014; Fendzi-Donfack et al., 2018; Ashraf et al., 2022; Ndzana et al., 2022; Halidou et al., 2022] in seeking for exact solutions about NFETLE.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"31 1","pages":"2350108:1-2350108:34"},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74033658","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0