Lenka Přibylová, Jan Ševčík, Tomáš Halmazňa, Štěpán Husa, Lucia Kajanová, Peter Malárik, Miroslav Polách, Štěpán Zapadlo, Veronika Eclerová
{"title":"Chaos links dendritic calcium to bursting in hippocampal pyramidal cells","authors":"Lenka Přibylová, Jan Ševčík, Tomáš Halmazňa, Štěpán Husa, Lucia Kajanová, Peter Malárik, Miroslav Polách, Štěpán Zapadlo, Veronika Eclerová","doi":"10.1016/j.chaos.2025.116517","DOIUrl":"10.1016/j.chaos.2025.116517","url":null,"abstract":"<div><div>We perform a multi-parameter bifurcation analysis of the Pinsky–Rinzel neuron model. Varying input currents to the soma and dendrite allows for the emergence of multiple dynamical regimes, including resting states, periodic cycles, tori, and chaotic states. The existence of tori implies the coexistence of two distinct frequency bands, which may underlie theta–gamma coupling observed in hippocampal activity. Additionally, a comprehensive bifurcation analysis reveals a novel type of chaotic attractor spanning a wide parameter region defined by inward currents to the soma and dendrite of a pyramidal neuron. This attractor facilitates the coexistence of two distinct bursting regimes as responses to the same stimulus. These bursting patterns, both previously observed experimentally in vivo and in vitro, primarily differ in dendritic calcium levels, with one exhibiting significantly elevated calcium concentrations. In this study, we introduce a robust method for identifying the bifurcation boundary of a global attractor associated with bursting behavior. The method is based on a comparative analysis of numerical continuation and grid-based simulations and can be applied analogously to other models. This rigorous approach not only provides a mechanistic explanation for experimentally observed concurrent neuronal responses to identical stimuli but also demonstrates that the Pinsky–Rinzel model, despite simplifying the pyramidal cell into two compartments, effectively captures a wide range of dynamical regimes present in pyramidal cell signaling. Moreover, it highlights the model’s robustness in describing complex neuronal dynamics, including epileptic activity.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116517"},"PeriodicalIF":5.3,"publicationDate":"2025-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143908048","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":"Solution of non-autonomous impulsive evolution equation in reflexive Banach spaces","authors":"Weifeng Ma","doi":"10.1016/j.chaos.2025.116471","DOIUrl":"10.1016/j.chaos.2025.116471","url":null,"abstract":"<div><div>In the case of the evolution system is non-compact, we deal with the existence of mild solutions for non-autonomous impulsive evolution equation on unbounded interval in a reflexive Banach space by applying the Hille–Yosida approximations of the infinitesimal generator of evolution system and finite dimensional reduction.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116471"},"PeriodicalIF":5.3,"publicationDate":"2025-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143908128","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":"Mittag-Leffler ultimate boundedness of fractional-order nonautonomous delay systems","authors":"Baizeng Bao , Liguang Xu","doi":"10.1016/j.chaos.2025.116482","DOIUrl":"10.1016/j.chaos.2025.116482","url":null,"abstract":"<div><div>This paper investigates the Mittag-Leffler ultimate boundedness of fractional-order nonautonomous systems with delay. First, using the properties of the Mittag-Leffler function and the fractional-order comparison principle, a novel fractional-order nonautonomous Halanay inequality is proposed, which no longer requires the conditions of boundedness and common factors of the coefficients of the systems. This implies that the conditions are less conservative than the existing results. Then, with the help of the obtained inequality, some criteria for the Mittag-Leffler ultimate boundedness of the considered system are derived. Finally, examples are given to demonstrate the effectiveness of the findings.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116482"},"PeriodicalIF":5.3,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143908046","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":"Novel dynamical behavior of rogue waves in erbium doped fiber with inhomogeneous broadening","authors":"Ritu Pal , M.S. Mani Rajan , K. Subramanian","doi":"10.1016/j.chaos.2025.116484","DOIUrl":"10.1016/j.chaos.2025.116484","url":null,"abstract":"<div><div>Under investigation is the generalized nonlinear Schrödinger–Maxwell–Bloch equation (GNLS-MB) with inhomogeneous broadening, which determines the wave propagation in optical fibers doped with erbium atoms. We construct first- and second-order rogue wave solutions for the GNLS-MB equation using the similarity reduction technique. We investigate the characteristics of rogue wave solutions by tailoring dispersion and nonlinearity parameters into various forms. Specifically, we examine two cases: (i) a non-zero gain parameter and (ii) a zero gain parameter. We report interesting features of rogue wave structures, illustrated with 2D and 3D graphical representations. Our observations indicate that rogue waves emerge on diverse backgrounds for the non-zero value of the gain parameter, while alternative fascinating patterns are observed when the gain parameter is zero. These findings will be helpful in understanding the dynamics of rogue waves with inhomogeneous effects.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116484"},"PeriodicalIF":5.3,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143908044","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}
Issa Sali , Henock Ngoubi , Réné Essono , Henri P. Ekobena Fouda , Conrad B. Tabi
{"title":"Inhomogeneity-induced multi-solitons in gyrotropic molecular chains","authors":"Issa Sali , Henock Ngoubi , Réné Essono , Henri P. Ekobena Fouda , Conrad B. Tabi","doi":"10.1016/j.chaos.2025.116493","DOIUrl":"10.1016/j.chaos.2025.116493","url":null,"abstract":"<div><div>This paper investigates the dynamics of inhomogeneous gyrotropic molecular chains by proposing a suitable Hamiltonian model. The modulational instability phenomenon is explored in gyrotropic media of <span><math><mrow><mi>α</mi><mo>−</mo></mrow></math></span>helical protein chains under controllable inhomogeneities, arising from the constitution of the molecular chains, which can be sequence-dependent or influenced by gyrotropic dipole–dipole interactions due to the presence of additional molecules, such as drugs, at specific sites in the amino acid sequence. The linear stability analysis of continuous wave solutions is conducted on the inhomogeneous gyrotropic coupled nonlinear Schrödinger equations. We observe that both gyrotropy and inhomogeneity can increase or decrease the number of sidelobes in the instability spectrum. We construct new variational solitary wave solutions in the presence of inhomogeneities, revealing that energy transport can be more accurately described by the generation of pulses, bright solitons, and multisolitons involving rotational movement induced by the increasing gyrotropic parameters.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116493"},"PeriodicalIF":5.3,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143908045","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}
Liyun Hou , Yan Lu , Nuo Xu , Lai Zhang , Michael Pedersen
{"title":"The hidden costs of noise pollution: dynamics and stability in a size-structured population model","authors":"Liyun Hou , Yan Lu , Nuo Xu , Lai Zhang , Michael Pedersen","doi":"10.1016/j.chaos.2025.116544","DOIUrl":"10.1016/j.chaos.2025.116544","url":null,"abstract":"<div><div>Anthropogenic noise pollution has emerged as a pervasive environmental stressor with profound implications for ecosystems and biodiversity. Despite growing evidence of its immediate effects, the long-term consequences for population stability and ecosystem functioning remain poorly understood. This study develops an integrated theoretical framework to investigate how noise pollution impacts the stability and dynamics of size-structured populations. We incorporate noise as an environmental stressor that disrupts four key life-history processes: feeding, energy expenditure, mortality, and reproductive output. Through rigorous analytical and numerical analyses, we identify critical stability boundaries in parameter space defined by resource carrying capacity and noise intensity. Our results reveal that reduced food intake represents the most destabilizing pathway, significantly increasing population collapse risk compared to other mechanisms. Furthermore, we demonstrate that noise pollution systematically alters population structure through disruption of energy-mediated life-history transitions, with context-dependent shifts in juvenile dominance that vary by affected life stage. Beyond examining long-term stability, we quantify system resilience through recovery time following stage-specific perturbations, uncovering a counterintuitive finding: systems exhibiting periodic oscillations consistently recover faster than those at steady state. This study advances ecological theory by providing a mechanistic understanding of how noise pollution reshapes population dynamics, offering critical insights for predicting and mitigating its long-term ecological consequences.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116544"},"PeriodicalIF":5.3,"publicationDate":"2025-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143902408","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}
Giuliano G. Porciúncula , Marcone I. Sena-Junior , Luiz Felipe C. Pereira , André L.M. Vilela
{"title":"Consensus effects of social media synthetic influence groups on scale-free networks","authors":"Giuliano G. Porciúncula , Marcone I. Sena-Junior , Luiz Felipe C. Pereira , André L.M. Vilela","doi":"10.1016/j.chaos.2025.116479","DOIUrl":"10.1016/j.chaos.2025.116479","url":null,"abstract":"<div><div>Online platforms for social interactions are an essential part of modern society. With the advance of technology and the rise of algorithms and AI, content is now filtered systematically, facilitating the formation of filter bubbles. This work investigates the social consensus under limited visibility in a two-state majority-vote model on Barabási–Albert scale-free networks. In the consensus evolution, each individual assimilates the opinion of the majority of their neighbors with probability <span><math><mrow><mn>1</mn><mo>−</mo><mi>q</mi></mrow></math></span> and disagrees with chance <span><math><mi>q</mi></math></span>, known as the noise parameter. We define the visibility parameter <span><math><mi>V</mi></math></span> as the probability of an individual considering the opinion of a neighbor at a given interaction. The parameter <span><math><mi>V</mi></math></span> enables us to model the limited visibility phenomenon that produces synthetic neighborhoods in online interactions. We employ Monte Carlo simulations and finite-size scaling analysis to obtain the critical noise parameter as a function of the visibility <span><math><mi>V</mi></math></span> and the growth parameter <span><math><mi>z</mi></math></span>. We find the critical exponents <span><math><mrow><mi>β</mi><mo>/</mo><mover><mrow><mi>ν</mi></mrow><mrow><mo>̄</mo></mrow></mover></mrow></math></span>, <span><math><mrow><mi>γ</mi><mo>/</mo><mover><mrow><mi>ν</mi></mrow><mrow><mo>̄</mo></mrow></mover></mrow></math></span> and <span><math><mrow><mn>1</mn><mo>/</mo><mover><mrow><mi>ν</mi></mrow><mrow><mo>̄</mo></mrow></mover></mrow></math></span> of the system and validate the unitary relation for complex networks. Our analysis shows that installing and manipulating synthetic influence groups critically undermines consensus robustness.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116479"},"PeriodicalIF":5.3,"publicationDate":"2025-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143902468","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":"Jam traffic pattern of a multi-phase lattice hydrodynamic model integrating a continuous self-stabilizing control protocol to boycott the malicious cyber-attacks","authors":"Cong Zhai , Weitiao Wu , Yingping Xiao , Jiyong Zhang , Min Zhai","doi":"10.1016/j.chaos.2025.116531","DOIUrl":"10.1016/j.chaos.2025.116531","url":null,"abstract":"<div><div>While connected-automated vehicles (CAVs) can share traffic data with external nodes through vehicle-vehicle or vehicle-infrastructure communication, the exoteric workshop communication setting makes the vehicles susceptible to cyber-attack interference, which will affect the normal information interaction between vehicles. Besides, in practice, the driver uses the accelerator, gear shift lever or brake pedal to accelerate and decelerate the vehicle, whereas the complex piecewise acceleration process is negligible in existing works. In doing so, we use historical traffic information to compensate for the missing core data caused by malicious cyber-attacks. We then propose a novel multi-phase lattice hydrodynamics model considering malicious cyber-attacks. A switch continuous self-stabilizing security control protocol is embedded to reinforce the steadiness of traffic flow. The typical optimal velocity function, which frequently serves as a basic hyperbolic tangent function, is swapped with a two-stage (three-phase) optimal velocity function to elucidate the intricate three-phase traffic flow system. Following the linear stability theorem, the critical stability criteria for the new model are identified. The outcome reveals that the cyber-attack intensity and control gain coefficient have profound effects on the steadiness of traffic flow, and the stage of phase transition is determined by what amount of turning points are contained in the optimal velocity function. The modified Korteweg–de Vries (mKdV) equation that indicates the density wave in a bottleneck area is established with the aid of nonlinear stability analysis and the associated analytical solution is obtained. Numerical studies have been conducted under periodic boundary circumstances to verify the correctness of the mathematical analysis.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116531"},"PeriodicalIF":5.3,"publicationDate":"2025-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143899114","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":"State-transition mechanisms for (2+1)-dimensional Sawada-Kotera equation with the variable coefficients in plasma physics and fluid dynamics","authors":"Xuemin Yao , Junfei Zhao , Rui Liang","doi":"10.1016/j.chaos.2025.116485","DOIUrl":"10.1016/j.chaos.2025.116485","url":null,"abstract":"<div><div>In this paper, we investigate the linear and tortuous transformed nonlinear waves in the (2+1)-dimensional Sawada-Kotera equation with variable coefficients, which may provide valuable theoretical insights for experimental design in plasma physics and fluid dynamics. Through characteristic line analysis and state transition conditions, the general transformed waves under various inhomogeneous parameters are modulated. The results demonstrate that the selected inhomogeneous parameters have minimal impact on the isolation and oscillatory characteristics of the transformed waves. Furthermore, we present a series of S-type tortuous transformed waves with identical inhomogeneous coefficients corresponding to different wave number ratios in the (<span><math><mi>x</mi></math></span>-<span><math><mi>t</mi></math></span>) plane, highlighting that the wave number ratio significantly influences the locality and oscillatory nature. Additionally, a novel type of tortuous M-shaped transformed wave, characterized by an initial intersection followed by a parallel configuration, is also reported. Our findings indicate that the wave number ratio plays a crucial role in shaping the dynamic characteristics of tortuous transformed waves, including their shape, velocity, and other properties.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116485"},"PeriodicalIF":5.3,"publicationDate":"2025-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143899113","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}
Wenhui Dai, Jianwei Wang, Fengyuan Yu, Wenshu Xu, Bofan Li
{"title":"The evolution of cooperation under falsified payoff information","authors":"Wenhui Dai, Jianwei Wang, Fengyuan Yu, Wenshu Xu, Bofan Li","doi":"10.1016/j.chaos.2025.116463","DOIUrl":"10.1016/j.chaos.2025.116463","url":null,"abstract":"<div><div>Maximizing payoff is individuals’ pursuit during games, and thus payoff information profoundly affects individuals’ strategic choices. However, the privatization of payoff information provides individuals with opportunities for pretense and deception, and it is commonplace for individuals to induce their opponents to cooperate with them by declaring false payoff information in order to obtain a future advantage. This begs the question of how false payoff information disseminated by individuals for self-interested purposes affects humans’ strategy selection, and whether it inevitably has a negative impact on human cooperation. In view of this, this paper focuses on the impact of different deceivers, i.e., cooperative deceiver, defective deceiver, and dual-mode deceiver, on the evolution of cooperation, in the context that players can choose to declare false payoff information depending on their game situation. The results showed that all three types of deceivers can positively influence the evolution of cooperation, despite the self-interested initial intent of their deception, especially the dual-mode deceivers who most notably drove group cooperation by their flexibility in deceiving. In addition, compared to cooperative deceivers, defective deceivers perform better, i.e., defectors understate their payoff is more favorable to group cooperation than cooperators overstate their payoff. Moreover, in some of the tougher dilemmas, the defective deceivers can drive the group to achieve a reversal in the cooperation rate, which triggers a series of interesting and counterintuitive phenomena.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116463"},"PeriodicalIF":5.3,"publicationDate":"2025-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143895461","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}