Chaos Solitons & Fractals最新文献_第4页

Characterizing emergent firing-pattern diversity in an autaptic neuron with second-order memristive synapse 具有二级记忆突触的自适应神经元的突发放电模式多样性特征

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-27 DOI: 10.1016/j.chaos.2026.118169

Yijin Liu, Qiang Lai, Minghong Qin

{"title":"Characterizing emergent firing-pattern diversity in an autaptic neuron with second-order memristive synapse","authors":"Yijin Liu, Qiang Lai, Minghong Qin","doi":"10.1016/j.chaos.2026.118169","DOIUrl":"10.1016/j.chaos.2026.118169","url":null,"abstract":"<div><div>The locally active memristor (LAM), deemed an ideal building block for neuromorphic computing due to its signal amplification and oscillation sustainment capabilities, inspires the proposal of a novel second-order locally active memristor (SOLAM). The electrical properties of the SOLAM are examined via a quantitative approach leveraging small-signal analysis in conjunction with the theory of local activity. Utilizing the SOLAM, this work develops a second-order memristive autapse Hindmarsh–Rose (SOMAHR) model, which accurately captures the complex dynamics of the neuron under electromagnetic radiation (EMR) and uncovers the existence of multiple distinct firing patterns, and the physical realizability of the SOMAHR model was confirmed through the construction of an analog circuit. To further probe the firing patterns of the SOMAHR, an additional state-dependent stimulus is incorporated, yielding the SOMAHR-S. Numerical analysis reveals that tuning the frequency of this stimulus enables precise control over unique firing patterns, which manifest as multiscroll chaotic attractors with complexity governed by the stimulus frequency. Remarkably, this gives rise to a regime of infinite heterogeneous coexisting attractors, a phenomenon of particular interest for multistable systems.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"208 ","pages":"Article 118169"},"PeriodicalIF":5.6,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147329774","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

New treatment on bifurcations of periodic and homoclinic orbits in some chaotic systems 混沌系统周期轨道和同斜轨道分岔的新处理

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-27 DOI: 10.1016/j.chaos.2026.118156

Jianghong Bao, Zhongjian Zeng

引用次数: 0

Generation and fractal design of multi-structured chaotic attractors 多结构混沌吸引子的生成与分形设计

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-26 DOI: 10.1016/j.chaos.2026.118073

Fengjuan Zhu, Xianli Li, Yuxiang Fang, Suchang Liu, Xiaoyu Wang, Xuan Bu, Tingting Yu

{"title":"Generation and fractal design of multi-structured chaotic attractors","authors":"Fengjuan Zhu, Xianli Li, Yuxiang Fang, Suchang Liu, Xiaoyu Wang, Xuan Bu, Tingting Yu","doi":"10.1016/j.chaos.2026.118073","DOIUrl":"10.1016/j.chaos.2026.118073","url":null,"abstract":"<div><div>Aiming at the problems of simple attractor structures in multi-scroll chaotic systems and the difficulty in constructing attractors with specific self-similar structures, this paper investigates the generation and fractal design of multi-structural chaotic attractors. Based on the rotating multi-scroll Chua's chaotic system, a novel multi-scroll chaotic system is proposed by introducing multi-level functions, where the shape, expansion direction, and number of attractor structural units can be flexibly regulated via parameters. Furthermore, the Julia fractal mapping method is employed to generate attractors with a larger number of scrolls. A fractal chaotic system is then constructed using the combination of two iterative mappings as the basic unit, yielding attractors with specific self-similar structures. The application of chaotic sequences processed by Julia mapping to image encryption demonstrates effective resistance against statistical attacks. This study enriches the construction methods of multi-scroll chaotic systems and provides a new approach for the design of attractors with self-similar structures.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"208 ","pages":"Article 118073"},"PeriodicalIF":5.6,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147329817","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

Chiral control of active particles via alignment regulation of visual perception 通过视觉感知的对齐调节对活性粒子进行手性控制

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-28 DOI: 10.1016/j.chaos.2026.118166

Weirong Zhong

{"title":"Chiral control of active particles via alignment regulation of visual perception","authors":"Weirong Zhong","doi":"10.1016/j.chaos.2026.118166","DOIUrl":"10.1016/j.chaos.2026.118166","url":null,"abstract":"<div><div>The theoretical study of chiral particles provides an ideal model for understanding non-equilibrium physics, revealing how microscopic chirality drives the rich collective behaviors of active matter. In theoretical research, the chirality of active particles is usually incorporated into dynamic equations by using a rotational angular velocity or torque. This paper departs from this traditional method. Instead, it introduces visual perception alignment to explore a possibility: Active particle systems can exhibit chiral characteristics through visual functions, and this phenomenon implies a different mechanism of chiral symmetry breaking. This offers an alternative perspective for deeply understanding the origin of chirality in active particles and their physical essence. It is found that there are three phase states in the visual perception system: the radial convergence, the spiral migration, and the mass migration states. Additionally, this paper quantitatively studies the dependence of the angular velocity ratio of active particles on parameters such as visual direction, concentration, system size, and environmental factors, providing technical references for the precise control of the chirality of active particles.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"208 ","pages":"Article 118166"},"PeriodicalIF":5.6,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147329770","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

Synergistic coevolution of opinion formation and message diffusion: Critical phenomena induced by relative timescales 意见形成与信息扩散的协同进化：相对时间尺度诱导的关键现象

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-27 DOI: 10.1016/j.chaos.2026.118074

Yiwen Liu , Ying Liu , Zhen Jin , Mikhail Kirillin , Ming Tang , Yi-Cheng Zhang

{"title":"Synergistic coevolution of opinion formation and message diffusion: Critical phenomena induced by relative timescales","authors":"Yiwen Liu , Ying Liu , Zhen Jin , Mikhail Kirillin , Ming Tang , Yi-Cheng Zhang","doi":"10.1016/j.chaos.2026.118074","DOIUrl":"10.1016/j.chaos.2026.118074","url":null,"abstract":"<div><div>In the real world, public opinion is inevitably shaped by various forms of message diffusion, and vice versa. However, these two dynamics operate with different timescales and the effect of relative timescale in the coevolution dynamics has not been explored. Here, we propose a coupled noisy threshold voter–UAU model that incorporates an adjustable relative timescale between message diffusion and binary decision-making. We find that the system undergoes a first-order phase transition with respect to the message transmission rate, accompanied by hysteresis and bistability, once the relative timescale exceeds its critical value. Although the system exhibits marked non-monotonic and discontinuous changes with the relative timescale in different situations, there are common features: the prevalence of positive opinion exhibits a slight decline as the relative timescale increases within the low positive opinion phase, whereas it shows an upward trend in the high positive opinion phase. Consequently, the forward critical message transmission rate increases with the relative timescale, while the backward one decreases. Notably, the model illustrates how a minority opinion can abruptly overturn the majority once a critical tipping point is crossed. This study advances our understanding of the role of relative timescale in synergistically coupled dynamics and provides potential strategies for public opinion stabilization.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"208 ","pages":"Article 118074"},"PeriodicalIF":5.6,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147330309","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

Hyperbolic distance modulated coupling enhances collective rhythms and biological consistency in circadian clock networks 双曲距离调制耦合增强集体节律和生物一致性在生物钟网络

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-14 DOI: 10.1016/j.chaos.2026.118082

Yuxuan Song , Changgui Gu , Wenxin Zheng , Muhua Zheng

{"title":"Hyperbolic distance modulated coupling enhances collective rhythms and biological consistency in circadian clock networks","authors":"Yuxuan Song , Changgui Gu , Wenxin Zheng , Muhua Zheng","doi":"10.1016/j.chaos.2026.118082","DOIUrl":"10.1016/j.chaos.2026.118082","url":null,"abstract":"<div><div>Stable circadian rhythms rely on synchronized neuronal oscillations in the suprachiasmatic nucleus (SCN), which is profoundly influenced by network coupling structures. Coupling structures defined solely by network topology in existing models cannot accurately quantify functional interactions between neurons. In this paper, we introduced a distance-modulated coupling mechanism into the Poincaré model and compared Euclidean and hyperbolic distances as functional distance metrics. The coupling structure was derived from functional networks reconstructed from mouse SCN slices during TTX-resynchronization experiments, while distances mean that between neurons. Simulations demonstrate that the hyperbolic distance-modulated coupling exhibits higher synchronization degree and approximate experimental result. Moreover, it slightly enhances oscillation amplitudes while preserving stable collective rhythms. These findings indicate that effective information flow in the SCN depends on functional rather than spatial proximity alone. Hyperbolic distance enables a more accurate description of effective interactions in circadian networks and provides a geometric modeling framework linking structure, function, and collective dynamics in complex neural systems.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"208 ","pages":"Article 118082"},"PeriodicalIF":5.6,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146187547","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

Collisions between chirped vector vortex solitons in nonlocal nonlinear media 非局部非线性介质中啁啾矢量涡旋孤子的碰撞

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-23 DOI: 10.1016/j.chaos.2026.118103

Zhi-Xuan Wang , Hui-Cong Zhang , Tian-Le Dai, Xiao-Ying Fu, Zhong-Wei Zhang

引用次数: 0

Moderate higher-order interactions enhance stability while preserving basin structure 适度的高阶相互作用在保持盆地结构的同时增强了稳定性

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-20 DOI: 10.1016/j.chaos.2026.118069

Zheng Wang, Jinjie Zhu, Xianbin Liu

{"title":"Moderate higher-order interactions enhance stability while preserving basin structure","authors":"Zheng Wang, Jinjie Zhu, Xianbin Liu","doi":"10.1016/j.chaos.2026.118069","DOIUrl":"10.1016/j.chaos.2026.118069","url":null,"abstract":"<div><div>Synchronization is a ubiquitous phenomenon in complex systems. The Kuramoto model serves as a paradigmatic framework for understanding how coupled oscillators achieve collective rhythm. Conventional approaches focus on pairwise interactions, but real-world systems frequently involve higher-order couplings among multiple elements. Previous studies have shown that higher-order interactions enrich dynamics but generally shrink the attraction basin of synchronized states, making synchronization harder to achieve. Here, we demonstrate this picture is incomplete. Through systematic analysis of twisted states on ring networks, we identify a moderate coupling regime where higher-order interactions enhance stability while preserving basin structure. Within this regime, the relative distribution among twisted states remains nearly constant, yet quasipotential barriers systematically deepen as coupling strengths increase. By measuring mean first passage times, we show both pairwise and higher-order couplings contribute synergistically to enhance stability, consistent with large deviation theory. The effects of system size, coupling radius, and frequency heterogeneity are also examined. These findings provide new insights into the role of higher-order interactions in synchronization.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"208 ","pages":"Article 118069"},"PeriodicalIF":5.6,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146777181","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

Scaling limit of dependent random walk 相关随机漫步的缩放极限

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-21 DOI: 10.1016/j.chaos.2026.118102

Jeonghwa Lee

引用次数: 0

Independent control of oscillation frequency and amplitude in HIV–immune dynamics hiv免疫动力学中振荡频率和振幅的独立控制

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-23 DOI: 10.1016/j.chaos.2026.118146

Xing Zhong , Zhichun Yang , Tingwen Huang , Conghua Wang

{"title":"Independent control of oscillation frequency and amplitude in HIV–immune dynamics","authors":"Xing Zhong , Zhichun Yang , Tingwen Huang , Conghua Wang","doi":"10.1016/j.chaos.2026.118146","DOIUrl":"10.1016/j.chaos.2026.118146","url":null,"abstract":"<div><div>HIV–immune interaction models can exhibit sustained oscillations, where frequency sets the cycle time scale and amplitude sets fluctuation size. Because nonlinear coupling typically links frequency and amplitude, changing one often perturbs the other, making locally decoupled modulation nontrivial. Near a Hopf bifurcation, we derive leading-order approximations for the base frequency and saturation amplitude via center-manifold and normal-form analysis, and identify conditions for local decoupling. Building on a phase–amplitude description, we design a nonlinear-only feedback law for independent amplitude modulation that leaves the Jacobian unchanged, and a cascaded linear–nonlinear strategy for independent frequency modulation, where linear feedback assigns a target base frequency and nonlinear compensation restores the desired amplitude. Simulations confirm frequency (amplitude) tuning with small cross-effects on amplitude (frequency) in a Hopf neighborhood. These results clarify model-dependent requirements for local frequency–amplitude decoupling in oscillatory HIV–immune dynamics.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"208 ","pages":"Article 118146"},"PeriodicalIF":5.6,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147278368","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