Chaos Solitons & Fractals最新文献_第10页

Energy function of 2D and 3D coarse systems 二维和三维粗糙系统的能量函数

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-13 DOI: 10.1016/j.chaos.2025.116643

Jean-Marc Ginoux , Riccardo Meucci , Jaume Llibre , Julien Clinton Sprott

{"title":"Energy function of 2D and 3D coarse systems","authors":"Jean-Marc Ginoux , Riccardo Meucci , Jaume Llibre , Julien Clinton Sprott","doi":"10.1016/j.chaos.2025.116643","DOIUrl":"10.1016/j.chaos.2025.116643","url":null,"abstract":"<div><div>In this work, while using the <em>Flow Curvature Method</em> developed by one of us (JMG), we prove that the <em>energy function</em> of two and three-dimensional <em>coarse systems</em> involving a small parameter <span><math><mi>μ</mi></math></span> can be directly deduced from the <em>curvature</em> of their trajectory curves when <span><math><mi>μ</mi></math></span> tends to zero. Such a result thus confirms the relationship between <em>curvature</em> and <em>energy function</em> for a certain class of differential systems already established in one of our previous contributions. Then, we state that the rate of change of the <em>energy function</em> of such <em>coarse systems</em> is equal to the scalar product of the <em>velocity vector field</em> and its first time derivative, i.e. the <em>acceleration vector field</em>. The comparison of these results with the so-called Frénet frame enables to prove that <em>energy function</em> is proportional to the normal component of the acceleration when <span><math><mi>μ</mi></math></span> tends to zero while the rate of change of the <em>energy function</em> is proportional to the tangential component of the acceleration at first order in <span><math><mi>μ</mi></math></span>. Two and three-dimensional examples are then used to emphasize these two main results.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116643"},"PeriodicalIF":5.3,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144272612","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Neurodynamics in simple cyclic Hopfield neural network under external electromagnetic radiation and stimulating current inputs 外部电磁辐射和电流刺激下简单循环Hopfield神经网络的神经动力学

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-13 DOI: 10.1016/j.chaos.2025.116663

Qiang Lai , Minghong Qin , Guanrong Chen

{"title":"Neurodynamics in simple cyclic Hopfield neural network under external electromagnetic radiation and stimulating current inputs","authors":"Qiang Lai , Minghong Qin , Guanrong Chen","doi":"10.1016/j.chaos.2025.116663","DOIUrl":"10.1016/j.chaos.2025.116663","url":null,"abstract":"<div><div>External stimuli can influence the electrical activities of neurons, inducing complex and diverse neurodynamic behaviors through coordination and interaction among neurons. This article investigates the neurodynamics of a simple cyclic Hopfield neural network (SCHNN) with unidirectional connections and no autapse, under external electromagnetic radiation and stimulating current inputs. Numerical analyses show that, when SCHNN is exposed only to electromagnetic radiation, it has eight unstable equilibria and can produce homogeneous/heterogeneous multistability, amplitude control and different types of firing patterns, e.g., periodic/chaotic spiking and bursting firing. When SCHNN is affected jointly by electromagnetic radiation and stimulating current inputs, it exhibits diverse types of firing multistability, such as resting and periodic spiking as well as chaotic and periodic spiking. Interestingly, neurons in SCHNN also exhibit controllable frequency bursting firing behavior with varying electromagnetic radiation parameters in huge scales. Finally, a digital hardware implementation platform is designed and physically realized to reproduce the neurodynamics observed from numerical simulations.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116663"},"PeriodicalIF":5.3,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144270764","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamical behaviors and firing patterns in a fully memory-element emulator-based bionic circuit 基于全记忆元件仿真器的仿生电路的动态行为和发射模式

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-13 DOI: 10.1016/j.chaos.2025.116658

Xincheng Ding , Weiwei Fan , Ning Wang , Yuanhui Su , Mo Chen , Yuan Lin , Quan Xu

{"title":"Dynamical behaviors and firing patterns in a fully memory-element emulator-based bionic circuit","authors":"Xincheng Ding , Weiwei Fan , Ning Wang , Yuanhui Su , Mo Chen , Yuan Lin , Quan Xu","doi":"10.1016/j.chaos.2025.116658","DOIUrl":"10.1016/j.chaos.2025.116658","url":null,"abstract":"<div><div>Memory-element-based bionic circuits can well characterize the electrophysiological behavior of a biological neuron and generate abundant neuron-like firing patterns. This paper deploys a charge-controlled memcapacitor, a voltage-controlled locally active memristor (LAM) with one DC voltage bias, a flux-controlled meminductor, and a sinusoidal stimulus to respectively characterize the neuronal membrane, ion channel, electromagnetic induction, and external stimulus, thereby a fully memory-element emulator-based bionic circuit is constructed. Numerical simulations demonstrate that the bionic circuit achieves diverse pattern transition behaviors through the forward/reverse period-doubling bifurcation routes, tangent bifurcation, and chaos crisis for the circuit parameters, which trigger diverse firing patterns, e.g., periodic and chaotic spiking activities. Besides, a hardware circuit using discrete components is successfully synthesized by memory-element emulators, and experimental measurements are carried out to support the numerical results and demonstrate the capability of the bionic circuit to produce neuron-like firing patterns.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116658"},"PeriodicalIF":5.3,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144272606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Stability of networked evolutionary games with asynchronous strategy updating rules and different memory lengths 具有异步策略更新规则和不同记忆长度的网络进化博弈的稳定性

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-13 DOI: 10.1016/j.chaos.2025.116655

Haonan Li , Pengfei Yan , Fukun Liu , Hao Zhang

引用次数: 0

Intra- and inter-layer dynamics of a two-layer Izhikevich neuron map 两层Izhikevich神经元图的层内和层间动态

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-13 DOI: 10.1016/j.chaos.2025.116718

İbrahim Ethem Saçu

{"title":"Intra- and inter-layer dynamics of a two-layer Izhikevich neuron map","authors":"İbrahim Ethem Saçu","doi":"10.1016/j.chaos.2025.116718","DOIUrl":"10.1016/j.chaos.2025.116718","url":null,"abstract":"<div><div>In this study, along with a flux controlled memristor for inter-layer synaptic connection, an Izhikevich neuron map of two layer has been built where distance dependent chemical coupling among neurons within each layer. The distance term with power-law factor between neurons placed in a square form is included in the chemical coupling. Dynamic behaviors of intra-layer, inter-layer and total neuron map have been evaluated by changing the coupling strength, distance term and its power law factor. Error term, synchronization factor, and incoherence strength have been used to evaluate simulation results quantitatively. Numerical simulation results show that there are disordered, synchronous and chimera states in both intra- and inter-layers depend on the coupling strength. Furthermore, the memristor layer has also same responses parallel to the intra- and inter-layer. On the other hand, network dynamics have been also effected by distance term and its power law factor. When the distance term is set to unity, as the power-law factor decreases, neuronal nodes achieve to synchronization more quickly for same variation of the chemical coupling strength. However, if coupling strength is set to big enough, the effect of distance term disappears. Moreover, when the power-law factor is adjusted to unity, as the distance term increases, neural network can achieve synchronization with greater chemical coupling strength. Additionally, the simulation results have been verified experimentally on a DSP platform.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116718"},"PeriodicalIF":5.3,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144272610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Formation and maintenance of neuronal collective dynamics through local perturbation and intrinsic node dynamics 通过局部微扰和内在节点动力学形成和维持神经元集体动力学

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-13 DOI: 10.1016/j.chaos.2025.116648

Runzhou Liu , Yan Zhang , Jijun Wang , Muhua Zheng , Kesheng Xu

{"title":"Formation and maintenance of neuronal collective dynamics through local perturbation and intrinsic node dynamics","authors":"Runzhou Liu , Yan Zhang , Jijun Wang , Muhua Zheng , Kesheng Xu","doi":"10.1016/j.chaos.2025.116648","DOIUrl":"10.1016/j.chaos.2025.116648","url":null,"abstract":"<div><div>Neuronal assemblies have primarily been examined through synaptic weights and plasticity to understand variability in response timing during local perturbations in various experimental studies. However, an important unresolved question is how local perturbations, which disrupt the excitatory–inhibitory balance, potentially trigger widespread changes in spiking variability. Our findings show that the variability of spiking patterns depends on the presence of perturbations and synaptic weights in the neural networks built with chaotic and nonchaotic cells. Without perturbations, the excitatory population exhibits firing patterns resembling isolated neurons. Conversely, when perturbations occur, unperturbed excitatory neurons display symmetry latency firing patterns with smaller perturbation amplitude and demonstrate full or clustered synchronization at higher perturbation amplitudes, both influenced by the intrinsic node dynamics. These findings highlight that the separation of firing rates and the intrinsic node dynamics are essential factors in the emergence of diverse firing patterns. This investigation underscores the significance of intrinsic node dynamics in neuronal networks and the role of external perturbations in forming neuronal assemblies.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116648"},"PeriodicalIF":5.3,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144272611","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Non-periodic intermittent stochastic control for SVIQR epidemic model on complex network with saturation incidence rate 具有饱和发病率的复杂网络上SVIQR流行病模型的非周期间歇随机控制

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-13 DOI: 10.1016/j.chaos.2025.116671

Xinjie Fu , JinRong Wang

引用次数: 0

Noise-induced ecological shifts in a prey–predator model 捕食者-猎物模型中噪音引起的生态变化

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-12 DOI: 10.1016/j.chaos.2025.116661

Alexander Belyaev , Lorenzo Cerboni Baiardi , Jochen Jungeilges , Tatyana Perevalova

引用次数: 0

Proportional feedback and optimal control of perturbed sine-Gordon kink solitons 摄动正弦戈登扭结孤子的比例反馈与最优控制

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-12 DOI: 10.1016/j.chaos.2025.116645

Mordecai Opoku Ohemeng , Joseph Ackora-Prah , Benedict Barnes , Ishmael Takyi

引用次数: 0

Interplay between preys’ anti-predator behavior and predators’ cooperative hunting: A mathematical approach 猎物反捕食者行为和捕食者合作捕猎之间的相互作用：一种数学方法

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-12 DOI: 10.1016/j.chaos.2025.116624

Yilin Zhang, Lijuan Chen, Fengde Chen, Zhong Li

{"title":"Interplay between preys’ anti-predator behavior and predators’ cooperative hunting: A mathematical approach","authors":"Yilin Zhang, Lijuan Chen, Fengde Chen, Zhong Li","doi":"10.1016/j.chaos.2025.116624","DOIUrl":"10.1016/j.chaos.2025.116624","url":null,"abstract":"<div><div>In ecosystems, hunting cooperation of the predator will intensify the survival pressure faced by the prey, and then promote anti-predator behavior in the prey population. Therefore, it is of biological significance to study the prey’s anti-predator behavior and the predator’s hunting cooperation simultaneously. In this paper, a mathematical model that encompasses both aspects is developed. Through rigorous and comprehensive analysis of equilibria and bifurcation phenomena, this study reveals how these two behaviors influence population dynamics and ecosystem stability. In detail, as the hunting cooperation parameter <span><math><mi>a</mi></math></span> increases, the density of the prey population decreases. When <span><math><mi>a</mi></math></span> is extremely large or small, it will hinder the persistence of predator and prey populations, and only moderate hunting cooperation can maintain the ecosystem balance. Furthermore, moderate anti-predator behavior of the prey can suppress predators’ hunting efficiency, while once the anti-predator behavior exceeds a critical threshold, it will disrupt the coexistence of predator and prey populations. The findings in this research can be viewed as an improvement and a complement to those with anti-predator behavior or hunting cooperation.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116624"},"PeriodicalIF":5.3,"publicationDate":"2025-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144262312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0