Chaos Solitons & Fractals最新文献_第2页

Fractal-AIMAS synergy for multiscale consciousness modeling in neuro-cybernetic systems: A multifractal, Kuramoto oscillator, and hybrid neuroprosthetic approach 神经控制系统中多尺度意识建模的分形- aimas协同作用：多重分形、Kuramoto振荡器和混合神经假体方法

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-10 DOI: 10.1016/j.chaos.2025.117393

Jagjit Singh Dhatterwal, Dipesh

{"title":"Fractal-AIMAS synergy for multiscale consciousness modeling in neuro-cybernetic systems: A multifractal, Kuramoto oscillator, and hybrid neuroprosthetic approach","authors":"Jagjit Singh Dhatterwal, Dipesh","doi":"10.1016/j.chaos.2025.117393","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117393","url":null,"abstract":"This paper introduces a novel framework for modeling conscious states by integrating fractal decomposition theory with Autonomous Intelligent Multi-Agent Systems (AIMAS) in brain-cyborg interfaces. The approach employs multifractal analysis (including Hausdorff dimension and MF-DFA) and Iterated Function Systems (IFS) to decompose hybrid neuro-silical architectures into scale-invariant components, revealing hierarchical and self-similar patterns in functional connectivity. Within the AIMAS architecture, consciousness is conceptualized as a self-organizing fractal attractor, where agents act as fractal feature extractors, coupled via Kuramoto oscillators over scale-free Koch networks. The system dynamics are modeled using stochastic partial differential equations (SPDEs), while distinct conscious states (e.g., wakefulness vs. anesthesia) are characterized using Lyapunov exponents and lacunarity-based strange attractors. Experimental validation is conducted using ECoG and neuroprosthetic datasets, along with synthetic Local Field Models (LFMs), benchmarked against LSTM and Transformer architecture. The fractal-AIMAS synergy paradigm is capable of exceeding 100 % admissibility of high-fidelity neuro-cybernetics in both performance and optimality.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"24 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261852","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

Phase transitions and Lyapunov analysis of a heterogeneous traffic model involving human-driven and connected autonomous vehicles integrating overtaking effect 基于超车效应的人工驾驶与网联自动驾驶异质性交通模型相变与Lyapunov分析

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-10 DOI: 10.1016/j.chaos.2025.117372

Guanghan Peng, Yixin Huang, Chenchen Lu, Zhuangsong Wu, Longzhang Xu, Huili Tan

{"title":"Phase transitions and Lyapunov analysis of a heterogeneous traffic model involving human-driven and connected autonomous vehicles integrating overtaking effect","authors":"Guanghan Peng, Yixin Huang, Chenchen Lu, Zhuangsong Wu, Longzhang Xu, Huili Tan","doi":"10.1016/j.chaos.2025.117372","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117372","url":null,"abstract":"In today's society, the intelligent connected vehicles technology is becoming the core driving force which leads the innovation of the transportation system. In actual traffic environments, when overtaking, in order to prevent rear end collisions, the front car often follows a backward looking behaviors for human-driven vehicles (HVs). To investigate the influence of overtaking effect and the backward looking effect in the connected autonomous vehicles (CAVs) environment, we innovatively propose a heterogeneous lattice hydrodynamics (LH) model that includes CAVs and HVs. Through linear stability analysis, we reveal the neutral stability condition and observe the expanding stable range owing to raising the penetration proportion of CAVs and the backward looking effect of HVs, and reducing the overtaking coefficient. On this basis, the nonlinear analysis is carried out to derive the modified mKdV equation successfully and reveal the kink-antikink soliton solution. The simulation results further confirm that the area of the density difference map is significantly reduced, and the stability of traffic flow is signally improved with the increase of the penetration proportion of CAVs and the backward looking effect of HVs and with the decrease of overtaking coefficient. In addition, with the help of the Lyapunov stability theory, we calculate the Lyapunov exponent and draw the density distribution to deeply investigate the chaos arising from overtaking effect for the new heterogeneous LH model, as well as the specific influence of overtaking effect on CAVs and the backward looking effect of HVs. Intelligent transportation system, as a multidisciplinary field, covers many disciplines such as traffic engineering, computer science, artificial intelligence, etc. Our research not only builds a new bridge for the cooperation between these disciplines, but also promotes the in-depth development of interdisciplinary research.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"70 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261855","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

The impact of higher-order dynamics with intraspecific competition in replicator dynamics on species stability 复制子动力学中具有种内竞争的高阶动力学对物种稳定性的影响

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-10 DOI: 10.1016/j.chaos.2025.117364

Wenhao She, Yali Zhang, Yikang Lu, Haiying Wu, Lei Shi, Junpyo Park

{"title":"The impact of higher-order dynamics with intraspecific competition in replicator dynamics on species stability","authors":"Wenhao She, Yali Zhang, Yikang Lu, Haiying Wu, Lei Shi, Junpyo Park","doi":"10.1016/j.chaos.2025.117364","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117364","url":null,"abstract":"Higher-order interactions, as crucial factors in natural ecosystems, can be prominently observable across diverse ecological systems. Previous studies have predominantly focused on pairwise interspecific interactions. In this work, we investigate how higher-order interactions (HOI) and intraspecific competition jointly influence ecosystem stability in a rock–paper–scissors (RPS) model by incorporating intraspecific competition factors into a replicator dynamics framework that integrates both pairwise and higher-order interactions. Our findings reveal that the system undergoes a Hopf bifurcation within specific parameter ranges, generating a subcritical limit cycle manifested as periodic oscillations in species abundance. Conversely, the system traverses the Hopf bifurcation when critical parameters exceed threshold values, driving all species toward extinction via boundary attractors. Notably, the strength of intraspecific competition significantly modulates system stability, and under specific combinations of intensities influences system dynamics and the properties of limit cycles. Our study highlights the importance of incorporating multidimensional intraspecific competition into game-theoretic models with higher-order interactions to understand biodiversity maintenance and ecosystem stability. We hope this work may provide novel theoretical insights into the multidimensional effects of intra- and inter-species interactions in complex ecological networks.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"154 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261904","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

Harnessing Doppler broadening for giant photonic spin Hall shifts in an atomic cavity 利用多普勒展宽来研究原子腔中巨大的光子自旋霍尔位移

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-09 DOI: 10.1016/j.chaos.2025.117392

Fazal Badshah, Dong-Yan Lü, Yuan Zhou, Anwar Ali Khan, Zeeshan Ali, Ziauddin

{"title":"Harnessing Doppler broadening for giant photonic spin Hall shifts in an atomic cavity","authors":"Fazal Badshah, Dong-Yan Lü, Yuan Zhou, Anwar Ali Khan, Zeeshan Ali, Ziauddin","doi":"10.1016/j.chaos.2025.117392","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117392","url":null,"abstract":"We investigate the horizontal and vertical polarized photonic spin Hall effect (PSHE) in an optical cavity having a three-level atomic medium under electromagnetically induced transparency (EIT). Both the absence and presence of Doppler broadening effect (DBE) are analyzed, revealing that DBE plays a crucial role in significantly enhancing the PSHE. Remarkably, the horizontal PSHE reaches values as large as <mml:math altimg=\"si1.svg\" display=\"inline\"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>δ</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow><mml:mrow><mml:mi>h</mml:mi></mml:mrow></mml:msubsup><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">≈</mml:mo><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">−</mml:mo><mml:mn>3300</mml:mn><mml:mi>λ</mml:mi></mml:mrow></mml:math> under DBE. Furthermore, we systematically examine the impact of gain and loss in the cavity walls in the presence of DBE. Our results show that a balanced gain–loss configuration gives rise to an even greater enhancement, achieving <mml:math altimg=\"si2.svg\" display=\"inline\"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>δ</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow><mml:mrow><mml:mi>h</mml:mi></mml:mrow></mml:msubsup><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">≈</mml:mo><mml:mn>4000</mml:mn><mml:mi>λ</mml:mi></mml:mrow></mml:math>. The vertical polarized PSHE also exhibits substantial amplification under the combined influence of DBE and balanced gain–loss conditions. These findings provide new insights into tailoring spin-dependent light–matter interactions and offer a promising route for designing advanced photonic devices with controllable spin Hall shifts.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"120 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261862","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

Dilution, diffusion and symbiosis in spatial prisoner’s dilemma with reinforcement learning 基于强化学习的空间囚徒困境中的稀释、扩散与共生

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-09 DOI: 10.1016/j.chaos.2025.117382

Gustavo C. Mangold, Mendeli H. Vainstein, Heitor C.M. Fernandes

引用次数: 0

Spatiotemporal dynamics of necklace ring solitons in the whispering-gallery-mode optical microcavity

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-09 DOI: 10.1016/j.chaos.2025.117370

Tianle Dai, Qihao Cao, Jiahao Zhang, Wenzhi Lan, Yueyue Wang, Chaoqing Dai

{"title":"Spatiotemporal dynamics of necklace ring solitons in the whispering-gallery-mode optical microcavity","authors":"Tianle Dai, Qihao Cao, Jiahao Zhang, Wenzhi Lan, Yueyue Wang, Chaoqing Dai","doi":"10.1016/j.chaos.2025.117370","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117370","url":null,"abstract":"Dynamical characteristics of spatiotemporal necklace ring solitons in the whispering gallery mode optical microcavity is investigated based on the (3 + 1)-dimensional variable-coefficient Lugiato-Lefever equation. An analytical solution for the case without external pumping is obtained. The effects of the azimuthal periodic modulation, noise perturbation, time-varying excitation, topological charge and diffraction parameters on the stability, spatial structure and energy distribution of soliton are analyzed both in the absence and presence of external pumping. The azimuthal periodic modulation can precisely control the number of circumferential lobes in the soliton, with the number of lobes strictly matching the modulation period. The noise perturbation induces only local structural fluctuations, without disrupting the global periodicity. Low-intensity time-varying excitation, in combination with the periodic modulation, can maintain the long-term stability of solitons. The topological charge reconstructs the energy distribution via the phase winding effect, causing the symmetry distortion without altering the maximum amplitude. Linear stability analysis confirms that the diffraction parameter influences the soliton stability by modulating the nonlinear coupling strength, and the smaller diffraction coefficient is more favorable for maintaining the stable evolution. These findings provide a theoretical foundation for controlling the spatiotemporal structure of light fields and the design of nonlinear modes in the whispering-gallery mode microcavity.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"18 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261865","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

Chimera states in an adaptive higher-order network of Kuramoto oscillators 自适应高阶Kuramoto振子网络中的嵌合体态

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-08 DOI: 10.1016/j.chaos.2025.117302

Ge Kai, Liguo Yuan

{"title":"Chimera states in an adaptive higher-order network of Kuramoto oscillators","authors":"Ge Kai, Liguo Yuan","doi":"10.1016/j.chaos.2025.117302","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117302","url":null,"abstract":"Many complex systems exhibit higher-order interactions, involving not just pairs but groups of units, that adapt over time in response to the system's dynamics. While previous studies on adaptive networks have primarily focused on pairwise interactions, the role of adaptive higher-order coupling in shaping emergent phenomena remains largely unexplored. In this work, we investigate the emergence of chimera states in nonlocally coupled Kuramoto oscillator networks featuring both first-order (pairwise) and second-order (triadic) interactions, where the coupling weights evolve adaptively. Using the mean local order parameter and the strength of incoherence as diagnostic tools, we systematically identify and characterize the parameter regions where chimera states occur. Our results show that when only first-order interactions are adaptive, the system supports a variety of dynamical states, including chimera states and cluster synchronization, depending on the phase-lag parameters. However, when second-order interactions are included, the region supporting chimera states becomes more restricted, and cluster synchronization disappears. This suppressive effect becomes more pronounced as the coupling strength of second-order interactions increases. These findings demonstrate that adaptive higher-order interactions play a critical role in modulating the stability and structure of chimera states, offering new insights into the interplay between topology, adaptivity, and non-pairwise dynamics in complex systems.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"208 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261895","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

Uncertainty-driven portfolio selection via a multi-strategy modified sparrow search algorithm approach 基于多策略改进麻雀搜索算法的不确定性驱动投资组合选择

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-08 DOI: 10.1016/j.chaos.2025.117349

Bo Li, Yu Chen

{"title":"Uncertainty-driven portfolio selection via a multi-strategy modified sparrow search algorithm approach","authors":"Bo Li, Yu Chen","doi":"10.1016/j.chaos.2025.117349","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117349","url":null,"abstract":"In volatile financial markets, expert estimates play a crucial role when historical data fails to accurately reflect market movements. Meanwhile, investment in financial derivatives is indispensable in the actual financial transaction process. Therefore, this paper delves into an uncertain portfolio selection problem with an exploration of expected utility and options. First, an expected utility-TVaR-entropy model considering loss aversion is established. In this model, the expected utility function depicts wealth changes from portfolio returns, TVaR serves as an accurate risk measurement tool to control risks, and entropy – characterized by its nonlinear nature – is employed to describe diversification, capturing the non-proportional relationships in portfolio diversity. Subsequently, the deterministic forms of the presented models are derived when the stock price follows specific distributions. To solve the model more effectively, a multi-strategy modified sparrow search algorithm is developed, integrating a chaotic mapping strategy, a dynamic boundary strategy, and a hybrid sine cosine algorithm-firefly algorithm search strategy, which is well-suited to handle the nonlinearity introduced by the entropy constraint in the solution space. Finally, the proposed model is numerically simulated, highlighting the advantages of the proposed algorithm. Additionally, the influence of options and loss aversion on the investment strategy is discussed.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"70 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261892","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

Disorder-induced preservation of nonthermal towers in spin-1 many-body systems 自旋-1多体系统中非热塔的失序诱导保存

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-08 DOI: 10.1016/j.chaos.2025.117328

Y.S. Liu, X.Z. Zhang

引用次数: 0

Boosting transfer entropy estimation accuracy with machine learning for finite-length sequences 用机器学习提高有限长度序列的传递熵估计精度

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-08 DOI: 10.1016/j.chaos.2025.117252

Lu Qiu, Huijie Yang

{"title":"Boosting transfer entropy estimation accuracy with machine learning for finite-length sequences","authors":"Lu Qiu, Huijie Yang","doi":"10.1016/j.chaos.2025.117252","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117252","url":null,"abstract":"Transfer entropy is widely adopted to reconstruct causal structures of complex systems from multi-variate sequences. A reliable detection requires the sequence be mathematically infinite and practically long enough. And its performance gets worse exponentially with the decrease of sequence length. This requirement cannot be met in many cases in reality. How to obtain a reliable estimation of transfer entropy from a finite-length sequence is accordingly an essential task and a crucial challenge. In this paper, Machine Learning based Estimation of Transfer Entropy (ML-TE) is proposed to address this issue, i.e., to improve the precision and reliability of the estimation for transfer entropy from finite-length sequences. A meticulous evaluation of various machine learning models is conducted, where the Feed-forward Neural Network(FNN) turns out to be the most suitable model. Extensive testing calculations show that ML-TE outperforms significantly the currently adopted methods such as the Normal Transfer Entropy(NTE), the Correlation-Dependent Balanced Estimation of Diffusion Transfer Entropy(CBEDTE), and the Kendall Transfer Entropy(KTE), especially when the sequences become very short ranging from 10 to 50. As typical applications, ML-TE is used to investigate the stock market risks and the climate physical risks, yielding intriguing results.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"102 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261896","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