Chaos Solitons & Fractals最新文献

{"title":"Forecasting dengue cases through time-series modeling with Google Trends and deep neural networks","authors":"Kang Hao Cheong, Kainan Li, Dengxiu Yu, Xinxing Zhao","doi":"10.1016/j.chaos.2025.117290","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117290","url":null,"abstract":"Dengue fever remains a persistent public health challenge in tropical regions, characterized by complex transmission dynamics and nonlinear outbreak patterns. In this study, we propose a data-driven forecasting framework that fuses real-time public interest signals captured through Google Trends, with a suite of advanced deep learning models. Our approach leverages the inherent nonlinearities in online search behavior to anticipate weekly dengue incidence, achieving state-of-the-art performance across multiple forecasting horizons. Remarkably, we find that a single search term (“dengue”) exhibits strong predictive power, outperforming multivariate feature sets in several models. The findings highlight the potential of low-cost, population-level digital traces as proxies for epidemiological signals and offer a practical, interpretable, and scalable methodology for early outbreak detection in complex systems.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"36 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261905","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}

{"title":"Critical thresholds in stochastic rumors on trees","authors":"Jhon F. Puerres, Valdivino V. Junior, Pablo M. Rodriguez","doi":"10.1016/j.chaos.2025.117373","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117373","url":null,"abstract":"The vertices of a tree represent individuals in one of three states: ignorant, spreader, or stifler. A spreader transmits the rumor to any of its nearest ignorant neighbors at rate one. At the same rate, a spreader becomes a stifler after contacting nearest-neighbor spreaders or stiflers. The rumor survives if, at all times, there exists at least one spreader. We consider two extensions and prove phase transition results for rumor survival. First, we consider the infinite Cayley tree of coordination number <mml:math altimg=\"si250.svg\" display=\"inline\"><mml:mrow><mml:mi>d</mml:mi><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>, with <mml:math altimg=\"si2.svg\" display=\"inline\"><mml:mrow><mml:mi>d</mml:mi><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">≥</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>, and assume that as soon as an ignorant hears the rumor, the individual becomes spreader with probability <mml:math altimg=\"si3.svg\" display=\"inline\"><mml:mi>p</mml:mi></mml:math>, or stifler with probability <mml:math altimg=\"si4.svg\" display=\"inline\"><mml:mrow><mml:mn>1</mml:mn><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">−</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:math>. Using coupling with branching processes we prove that for any <mml:math altimg=\"si224.svg\" display=\"inline\"><mml:mi>d</mml:mi></mml:math> there is a phase transition in <mml:math altimg=\"si3.svg\" display=\"inline\"><mml:mi>p</mml:mi></mml:math> and localize the critical parameter. By refining this approach, we extend the study to an inhomogeneous tree with hubs of degree <mml:math altimg=\"si250.svg\" display=\"inline\"><mml:mrow><mml:mi>d</mml:mi><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> and other vertices of degree at most <mml:math altimg=\"si8.svg\" display=\"inline\"><mml:mrow><mml:mi>k</mml:mi><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">=</mml:mo><mml:mi>o</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>. The purpose of this extension is to illustrate the impact of the distance between hubs on the dissemination of rumors in a network. To this end, we assume that each hub is, on average, connected to <mml:math altimg=\"si9.svg\" display=\"inline\"><mml:mrow><mml:mi>α</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> hubs, with <mml:math altimg=\"si10.svg\" display=\"inline\"><mml:mrow><mml:mi>α</mml:mi><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">∈</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:mrow></mml:math>, via paths of length <mml:math altimg=\"si11.svg\" display=\"inline\"><mml:mi>h</mml:mi></mml:math>. We obtain a phase transition result in <mml:math altimg=\"si252.svg\" display=\"inline\"><mml:mi>α</mml:mi></mml:math> in ter","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"105 1 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261900","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}

{"title":"The linear and nonlinear stability of double diffusive convection with nonlinear Boussinesq approximation and vertical throughflow","authors":"Pravesh Kumar, N. Deepika, Antony A. Hill","doi":"10.1016/j.chaos.2025.117273","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117273","url":null,"abstract":"The objective of the present study is to investigate the onset of double-diffusive convection in a horizontal porous layer saturated with fluid. The governing formulation employs the nonlinear Boussinesq approximation, with flow dynamics described by Forchheimer’s extension of Darcy’s law to incorporate quadratic drag effects. Permeable boundary conditions are considered to account for realistic exchange at the interfaces. Stability analysis is carried out through two complementary approaches: linear and nonlinear stability analyses. The eigenvalue problem for linear stability is solved using the Chebyshev tau spectral method, while the nonlinear stability boundary is determined via an energy method combined with a shooting technique and fourth-order Runge–Kutta method. This dual framework allows evaluation of the critical thermal Rayleigh number in both linear (<mml:math altimg=\"si424.svg\" display=\"inline\"><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>L</mml:mi></mml:mrow></mml:msub></mml:math>) and nonlinear (<mml:math altimg=\"si425.svg\" display=\"inline\"><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>E</mml:mi></mml:mrow></mml:msub></mml:math>) theories, thereby identifying subcritical instability regimes. The results reveal several significant trends. An increase in the Forchheimer coefficient (<mml:math altimg=\"si579.svg\" display=\"inline\"><mml:mi>J</mml:mi></mml:math>) enhances flow resistance and delays the onset of convection. Larger Péclet numbers (<mml:math altimg=\"si426.svg\" display=\"inline\"><mml:mrow><mml:mi>P</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:math>) amplify advective effects and further elevate the stability threshold, underscoring their stabilizing role. Nonlinear buoyancy contributions, represented by the parameters <mml:math altimg=\"si520.svg\" display=\"inline\"><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math> and <mml:math altimg=\"si521.svg\" display=\"inline\"><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math>, provide additional damping under certain parameter ranges and contribute to further stabilization. In contrast, the Lewis number (<mml:math altimg=\"si494.svg\" display=\"inline\"><mml:mrow><mml:mi>L</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:math>) is found to exert only a minor influence on the convective behavior of the system.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"8 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261918","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}

{"title":"Modeling of a memristor-coupled neural circuit with piezoelectric channel","authors":"Zhao Lei, Yitong Guo, Jun Ma, Chunni Wang","doi":"10.1016/j.chaos.2025.117384","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117384","url":null,"abstract":"Electrical activities in biological neurons result from stochastic diffusion of intracellular ions and bidirectional pumping of extracellular and intracellular ions across the membrane channels, and electromagnetic field energy is changed during energy exchange between magnetic field and electric field in/out of the cell. For circuit approach of perceiving functions of the biological neurons, the branch circuits composed of specific components can be activated to express the biophysical property of ion channels. In this paper, a neural circuit is proposed by using three branch circuits in parallel, one branch circuit is incorporated with a CCM (charge-controlled memristor), and one of the inductive branch circuit is connected with a piezoelectric device, which is capable for perceiving acoustic waves. Without the participation of piezoelectric ceramic, the symmetrical combination of the two inductors and the memristor element seldom triggers chaotic patterns, the physical mechanism lies in continuous excitation and regulation from the piezoelectric source, which enhances energy exchange between different energy terms/branch circuits. The incorporation of piezoelectric device in one of the inductive branch circuit activates equivalent but changeable capacitive property into the neural circuit; as a result, the two inductive ion channels/branch circuits have asymmetrical impacts on ions propagation, which supports different firing patterns in the electrical activities. The thermal power is calculated for estimating the thermal effect on neural activities and the mean power (&lt;<ce:italic>T</ce:italic><ce:inf loc=\"post\"><ce:italic>P</ce:italic></ce:inf>&gt;) is used to identify the functional state and energy efficiency of neurons. This method effectively compensates for the deficiency in previous studies that only focused on electrical behavior while ignoring thermal energy consumption. It is confirmed that functional ion channel endowed with piezoelectric perception can wake the neurons to give appropriate electrical response and energy regulation, which supports suitable firing patterns. Further taming the intensity of noisy excitation, similar coherence behaviors are induced in the electrical activities. It provides clues to design neural circuits when capacitors are not available or suffering breakdown because of electric shock.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"37 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261659","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}

{"title":"Roughness-induced transport enhancement via non-equilibrium fluctuations","authors":"Li-Ming Fan, Ming-Gen Li, Tian-Fu Gao, Jing-Dong Bao","doi":"10.1016/j.chaos.2025.117366","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117366","url":null,"abstract":"Understanding and controlling transport in systems far from thermal equilibrium is a fundamental goal in physics, biology, and nanotechnology. A canonical principle in this field is that landscape roughness almost universally acts as a detrimental factor that impedes particle motion and suppresses directed transport. Here, we challenge this paradigm by demonstrating that for particles driven by discrete non-equilibrium shot noise, engineered landscape roughness can act not as a dissipative obstacle, but as a constructive engine that enhances directed transport. This enhancement drives the particle to a velocity that significantly exceeds the free-particle limit-the average velocity resulting purely from the drive in the absence of a potential. We trace this effect to a novel dynamic mechanism we term <ce:italic>unidirectional slide inhibition</ce:italic>. Arising from a synergy between the potential’s global asymmetry and its local roughness, this mechanism effectively rectifies non-equilibrium fluctuations by selectively suppressing backward particle sliding. These findings establish a new principle for controlling transport via engineered disorder, opening new avenues for inspiring the design of more efficient nano-robots and providing new principles for particle-separation devices.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"20 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261897","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}

{"title":"Periodic dissipative soliton dynamics with tunable spectral notch depth in an all-polarization-maintaining nonlinear amplifying loop mirror fiber laser","authors":"Hongyu Chen, Weitao He, Chengbo Sun, Ziping Huang, Zhihao Wang, Shuangxi Peng, Qingbin Zhang, Peixiang Lu","doi":"10.1016/j.chaos.2025.117330","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117330","url":null,"abstract":"Control of dissipative solitons has long been a key research focus due to their high energy and compressibility in ultrafast fiber systems. However, achieving controllable dissipative solitons in all-polarization-maintaining fiber lasers remains a major challenge, owing to the lack of flexible tuning methods to balance nonlinearity, dispersion, gain, and loss. Here, we propose a vector-analysis-based model to elucidate spectral modulation in soliton pulsations, enabling stepwise insight into nonlinear phase shifts and soliton evolution. To explore system behavior and stability, we numerically solve the nonlinear Schrödinger equation (NLSE) under controlled fiber-length variations in a nonlinear amplifying loop mirror (NALM), effectively tuning the relative nonlinear phase shift. Simulations show that precise control of this shift achieves pronounced modulation in both temporal and spectral domains, reveals a classical period-doubling route to chaos, and compensates for nonlinear variation of the gain coefficient itself, thereby facilitating complex dynamical behaviors under tightly coupled conditions. This provides a feasible approach for all-fiber spectral shaping amplification.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"101 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261902","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}

{"title":"A study on the controllability of Atangana–Baleanu Caputo fractional neutral differential equations with delay","authors":"Sadam Hussain, Muhammad Sarwar, Syed Khayyam Shah, Kamaleldin Abodayeh, Khursheed J. Ansari, Chanon Promsakon, Thanin Sitthiwirattham","doi":"10.1016/j.chaos.2025.117365","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117365","url":null,"abstract":"In this paper, we demonstrate the controllability of semilinear neutral differential equations with impulses and delays, governed by the Atangana–Baleanu (AB) Caputo fractional derivative (FD). We establish sufficient conditions for controllability by combining semigroup theory with Darbo’s fixed point theorem. The fractional-order derivative offers a more accurate representation of memory and hereditary effects, thereby enhancing the understanding of system dynamics. The challenges posed by impulsive effects and time delays are addressed using the measure of noncompactness. Two examples are presented to ensure the effectiveness and applicability of the proposed method in supporting the theoretical results. This study provides practical insights and introduces a novel analytical framework for handling complex systems described by fractional dynamics, with potential applications in engineering and physics.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"28 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261788","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}

{"title":"Bifurcation analysis and chaotic dynamics in an SIR model with nonlinear incidence and constrained healthcare capacity","authors":"Shimli Dutta, Protyusha Dutta, Parvez Akhtar, Guruprasad Samanta","doi":"10.1016/j.chaos.2025.117329","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117329","url":null,"abstract":"This study develops and analyses an <mml:math altimg=\"si1.svg\" display=\"inline\"><mml:mrow><mml:mi>S</mml:mi><mml:mi>I</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math> epidemic model incorporating a non-monotone incidence rate that captures the combined effects of stringent governmental interventions, evolving social behavior, and public response. A distinctive feature of this work lies in examining how intra-specific competition among susceptible individuals for limited resources shapes the course of disease dynamics. Both autonomous and non-autonomous frameworks are examined, with special emphasis on the periodic variation in hospital bed availability—a critical yet often overlooked driver of epidemic dynamics. Analytical results establish conditions for the existence and stability of trivial, infection-free and endemic equilibria in relation to the basic reproduction number. Local stability shifts induced by transcritical, Hopf, and saddle–node bifurcations are explored, while two-parameter bifurcation analysis reveals regions of coexisting equilibria. Advanced bifurcation structures, including Bogdanov–Takens, generalized Hopf, and cusp points, are characterized, exposing transitions to complex and chaotic dynamics of the system. Sensitivity analysis identifies key parameters influencing outbreak intensity and continued persistence of the disease. Numerical simulations illustrate theoretical findings, indicating how healthcare capacity constraints, especially fluctuating hospital beds, profoundly shape epidemic trajectories. These results highlight the intricate interplay between medical resources, nonlinear transmission effects, and public health measures, offering strategic insights for designing adaptive, resource-aware intervention policies capable of mitigating epidemic impact under varying socio-behavioral and infrastructural conditions.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"120 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261903","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}

{"title":"Vortex gap solitons in dipolar Bose–Einstein condensates with cubic–quintic nonlinearity and parity-time-symmetric optical lattice","authors":"Zhuo Fan ,&nbsp;Linjia Wang ,&nbsp;Tong Wu,&nbsp;Di Wu,&nbsp;Xia Hu,&nbsp;Wei Peng,&nbsp;Siliu Xu","doi":"10.1016/j.chaos.2025.117279","DOIUrl":"10.1016/j.chaos.2025.117279","url":null,"abstract":"<div><div>In this study, we explore two-dimensional (2D) vortex solitons (VSs) in dipolar Bose–Einstein condensates with cubic–quintic nonlinearity and a parity-time (<span><math><mi>PT</mi></math></span>)-symmetric optical lattice. Using numerical methods, we obtain gap soliton solutions and evaluate their topological and dynamical stability. Two types of VSs, ring-shaped and multicore solitons, are discovered with topological charges ranging from <span><math><mrow><mi>m</mi><mo>=</mo><mn>1</mn></mrow></math></span> to 3. The behavior and stability of VSs are influenced by key parameters, such as the quintic nonlinearity coefficient, dipole–dipole interaction coefficient, and the imaginary/real parts of the <span><math><mi>PT</mi></math></span>-symmetric potential. In particular, the <span><math><mi>PT</mi></math></span>-symmetric potential affects the asymmetric distribution of ring-shaped VSs and the topological intensity distribution of multicore VSs. The stability of VSs is evaluated via temporal evolution. These results improve our understanding of soliton dynamics in non-Hermitian systems and offer insights for topological photonic applications.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"201 ","pages":"Article 117279"},"PeriodicalIF":5.6,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145227083","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}

{"title":"Network-based characterization of time series and its application to signal classification","authors":"Yujia Mi, Aijing Lin","doi":"10.1016/j.chaos.2025.117300","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117300","url":null,"abstract":"Time series analysis in complex systems can help us to peep into the inner structure and operation law of the system so as to make relevant decisions. In this paper, we propose a binary symbolic pattern state transfer network for measuring the complexity of series. First, we capture the spatio-temporal characteristics of series through a weighted change pattern matrix, and then we define a new binary coding mode that accomplishes the conversion of complex series to symbolic series. In addition, we fully consider the temporal evolution of the series, construct a horizontal viewable view of the state transfer series and generate a complex network, and extract the relevant metrics. Simulation experiments verify the validity of the model and its robustness to parameters. Finally, the model is applied to physiological signal analysis. For two EEG datasets, we depicted the brain region activities of the subjects in different states and successfully categorized the subjects. In summary, our approach captures the intrinsic patterns and features of series from a new perspective and provides an effective way to measure the complexity of series, it also provides an effective way to recognize and classify complex signals.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"53 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261922","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}