Chaos Solitons & Fractals最新文献

{"title":"Temperature effects on the neuronal dynamics and Hamilton energy","authors":"Ying Xie,&nbsp;Zhiqiu Ye,&nbsp;Xueqin Wang,&nbsp;Ya Jia,&nbsp;Xueyan Hu,&nbsp;Xuening Li","doi":"10.1016/j.chaos.2025.116325","DOIUrl":"10.1016/j.chaos.2025.116325","url":null,"abstract":"<div><div>Neurons require suitable temperature to function, and temperature is a key factor influencing neuronal responses and energy dynamics. However, it is still unclear how temperature intensity and duration impose effect on the neuronal dynamics. To fill this gap, a thermistor is introduced into a memristive FitzHugh-Nagumo neural circuit for temperature perception (T_mFHN). The results reveal that the temperature stimulation induce different energy coding mechanisms in neurons, and the bursting-type neuron maintains higher energy levels than chaotic-type neurons. Notably, the energy of bursting-type neurons is higher than the energy maintained by chaotic-type neurons. Under low-temperature-scale, energy remains stable regardless of the duration of the temperature stimulus, but it increases without temperature in chaotic-type neurons. Additionally, temperature fluctuations shorten the setup time for synchronization and energy balance in the coupled systems. Remarkably, a brief duration of temperature stimulation induces synchronization, which remains stable and robust even without temperature stimulation under certain conditions. These findings provide valuable insights into how temperature influences neuronal dynamics and energy properties, and it offers guidance for designing neural networks with optimized temperature intensities and durations.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116325"},"PeriodicalIF":5.3,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143644268","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":"Nonlinear dynamic analysis of new coupled Duffing-Van der Pol system and its application in underwater acoustic signal detection","authors":"Guohui Li,&nbsp;Kexin Zhao,&nbsp;Hong Yang","doi":"10.1016/j.chaos.2025.116280","DOIUrl":"10.1016/j.chaos.2025.116280","url":null,"abstract":"<div><div>In the context of complex noise in the marine environment, with the continuous improvement of various stealth technologies for underwater target, the signal-to-noise ratio (SNR) of received signal is decreasing gradually, which makes underwater acoustic signal (UAS) detection a difficult problem in the development of underwater acoustics. To achieve underwater acoustic signal detection in complex marine environment, new coupled Duffing-Van der Pol system (NCDVPS) is proposed, its nonlinear dynamic behavior is analyzed, and its application in UAS detection is researched. To improve the SNR threshold, the interior of Duffing system is improved. The nonlinear term is extended to higher order, damping terms are introduced, and it is coupled with the Van der Pol system through derivative term. Thus, new coupled Duffing-Van der Pol system is proposed, its nonlinear dynamic behavior is analyzed, and its simulink model is built. To precisely determine the critical threshold, multi-dimensional threshold comprehensive judgment method is proposed based on bifurcation diagram, Lyapunov exponent, zero-crossing technique, and entropy measurement method. To realize underwater acoustic signal detection, two detection methods are proposed according to whether the frequency of the signal to be measured is known or not. If it is known, the signal is input into NCDVPS, and the signal detection is realized by observing the change of phase trajectory. This method is named D-KS. If it is unknown, firstly, successive variational mode decomposition based on moss growth optimization (MGO-SVMD) is used to decompose the signal to be measured. Then, the optimal decomposed component is selected and input into NCDVPS. Intermittent chaos and Hilbert transform are combined to realize more accurate detection of the signal frequency. This method is named D-US. In the experimental research, through simulation experiment and measured experiment on ship radiated noise signal and marine biological signal, it is demonstrated that SNR of D-KS can reach −89.49 dB, and the detection accuracy of D-US can reach 99.98 %. This research provides new ideas and methods for underwater acoustic signal detection.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116280"},"PeriodicalIF":5.3,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143644159","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":"Coherent pulse interactions in mode-locked semiconductor lasers","authors":"Thomas G. Seidel ,&nbsp;Julien Javaloyes ,&nbsp;Svetlana V. Gurevich","doi":"10.1016/j.chaos.2025.116244","DOIUrl":"10.1016/j.chaos.2025.116244","url":null,"abstract":"<div><div>We study the dynamics of multipulse solutions in mode-locked lasers in presence of time-delayed feedback stemming, e.g., from reflections upon optical elements, and carrier dynamics. We demonstrate that the dynamics of such a high dimensional problem can be successfully described by some effective equations of motion for the pulses’ phases and positions. Analyzing the reduced vector field permits disclosing a highly complex dynamics where coherent and incoherent interactions compete. The latter lead to regimes in which pulses can be equidistant or non-equidistant and also have different phase relations. Multi-stability between regimes is also observed as well as emerging limit cycles and global heteroclinic bifurcations in the reduced phase space.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116244"},"PeriodicalIF":5.3,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143644267","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":"Epidemic dynamics in homes and destinations under recurrent mobility patterns","authors":"Yusheng Li ,&nbsp;Yichao Yao ,&nbsp;Minyu Feng ,&nbsp;Tina P. Benko ,&nbsp;Matjaž Perc ,&nbsp;Jernej Završnik","doi":"10.1016/j.chaos.2025.116273","DOIUrl":"10.1016/j.chaos.2025.116273","url":null,"abstract":"<div><div>The structure of heterogeneous networks and human mobility patterns profoundly influence the spreading of endemic diseases. In small-scale communities, individuals engage in social interactions within confined environments, such as homes and workplaces, where daily routines facilitate virus transmission through predictable mobility pathways. Here, we introduce a metapopulation model grounded in a Microscopic Markov Chain Approach to simulate susceptible–infected–susceptible dynamics within structured populations. There are two primary types of nodes, homes and destinations, where individuals interact and transmit infections through recurrent mobility patterns. We derive analytical expressions for the epidemic threshold and validate our theoretical findings through comparative simulations on Watts–Strogatz and Barabási–Albert networks. The experimental results reveal a nonlinear relationship between mobility probability and the epidemic threshold, indicating that further increases can inhibit disease transmission beyond a certain critical mobility level.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116273"},"PeriodicalIF":5.3,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143644266","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":"Utility of decisions and beliefs based on bounded-confidence opinion dynamics with group conformity","authors":"Kun Xiao ,&nbsp;Hongfeng Zhang","doi":"10.1016/j.chaos.2025.116294","DOIUrl":"10.1016/j.chaos.2025.116294","url":null,"abstract":"<div><div>Political parties, groups and organizations deliberately manipulate the direction of public opinion on social media, causing the evolution of group opinions to become increasingly complex driven by the information fusion mechanisms and artificial intelligence technologies. In this context, we propose a dynamic, heterogeneous bounded social model that integrates external group conformity and internal individual attributes, which simulates the role of individual decision-making abilities and beliefs in the evolution of opinions under different conformity scenarios. In this model, we introduce a network formation game process to simulate how users make judgments under the influence of external conformity, which arises from the complex mechanisms generated by numerous informational factors acting on the group. We find that improving the decision-making abilities and beliefs can reduce the chaos in opinion evolution. In the scenario of informational conformity, the high degree of individual beliefs can suppress opinion fragmentation. Moreover, when the proportion of normative conformity increases, the enhancement of decision-making can further reduce the chaos in communication. Thus, we reveal the pathways that guide the trends of opinion evolution in social networks.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116294"},"PeriodicalIF":5.3,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143642255","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":"Analytical derivation of delayed prey–predator model with hunting-and-resting delay","authors":"Mostafa Adimy ,&nbsp;Malay Banerjee","doi":"10.1016/j.chaos.2025.116272","DOIUrl":"10.1016/j.chaos.2025.116272","url":null,"abstract":"<div><div>We investigate a prey–predator model based on a general Gause type system. We take for the predator two phases into account, the hunting phase and the resting one. We suppose that the predators stop hunting after they catch the prey. Then they enter the resting phase where they stay for a fixed limited time. The resulting mathematical model is a system of two age-structured partial differential equations. By integrating this system over age and using the characteristics method, we reduce it to a delay differential system, and we investigate the existence and stability of the steady states. In particular, we have shown that the introduction of the delay (the duration of the resting phase) stabilizes the coexistence equilibrium.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116272"},"PeriodicalIF":5.3,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143642256","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":"Thermodynamic formalism and large deviation principle of multiplicative Ising models","authors":"Jung-Chao Ban ,&nbsp;Wen-Guei Hu ,&nbsp;Guan-Yu Lai","doi":"10.1016/j.chaos.2025.116285","DOIUrl":"10.1016/j.chaos.2025.116285","url":null,"abstract":"<div><div>In the paper, we explore the thermodynamics of Ising models in relation to 2-multiple Hamiltonians. We extend the findings of Chazottes and Redig (2014) to <span><math><msup><mrow><mi>N</mi></mrow><mrow><mi>d</mi></mrow></msup></math></span>. We establish the large deviation principle (LDP) for the average <span><math><mrow><mfrac><mrow><mn>1</mn></mrow><mrow><mi>N</mi></mrow></mfrac><msubsup><mrow><mi>S</mi></mrow><mrow><mi>N</mi></mrow><mrow><mi>G</mi></mrow></msubsup></mrow></math></span>, where <span><math><msubsup><mrow><mi>S</mi></mrow><mrow><mi>N</mi></mrow><mrow><mi>G</mi></mrow></msubsup></math></span> is a 2-multiple sum along a semigroup generated by <span><math><mi>k</mi></math></span> co-primes. This extends the previous results by Ban et al. (2022) to a broader class of long-range interactions. Finally, the results are generalized to the multidimensional lattice <span><math><msup><mrow><mi>N</mi></mrow><mrow><mi>d</mi></mrow></msup></math></span> for <span><math><mrow><mi>d</mi><mo>≥</mo><mn>1</mn></mrow></math></span>. We also provide the formulae for various thermodynamic properties corresponding to the given model.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116285"},"PeriodicalIF":5.3,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143644265","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":"Node influence evaluation method based on saturation propagation probability and multi-level propagation","authors":"Haoming Guo ,&nbsp;Xuefeng Yan","doi":"10.1016/j.chaos.2025.116299","DOIUrl":"10.1016/j.chaos.2025.116299","url":null,"abstract":"<div><div>One of the key areas in network science is assessing node influence in complex networks. Most current methods rely on a constant propagation probability to evaluate node importance, which often fails to capture the dynamic nature of information propagation. To address this limitation, we propose a novel method for node influence evaluation based on saturation propagation probability (SPP) and multi-level propagation characteristics. First, we define the saturation propagation probability (SPP) to model the non-linear dynamics of information propagation, which enables a more accurate evaluation of a node’s propagation influence by dynamically adjusting its propagation ability. Second, we account for both same-order and different-order neighbor interactions in the propagation process, incorporating network topology for a more comprehensive evaluation. Through extensive experiments comparing SPP with seven existing methods across ten networks, we demonstrate its superior performance. Specifically, the SPP method achieves optimal ranking accuracy in all ten networks, delivers the best node similarity performance on 80% of the networks, and consistently performs well in terms of Kendall’s coefficient <span><math><mi>τ</mi></math></span> under varying infection rates. These results confirm the method’s effectiveness and applicability in complex networks.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116299"},"PeriodicalIF":5.3,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143644262","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":"Managment of nonautonomous breather molecules and rogue waves in plasma physics","authors":"Jun-Fei Zhao ,&nbsp;Shuo Zhou ,&nbsp;Xiao-Feng Fang ,&nbsp;Hui Zhang","doi":"10.1016/j.chaos.2025.116277","DOIUrl":"10.1016/j.chaos.2025.116277","url":null,"abstract":"<div><div>We focus on the intricate dynamics of nonautonomous molecules and higher-order rogue waves in the variable coefficient derivative nonlinear Schrödinger equation, a pivotal equation that characterizes the propagation of Alfvén waves in plasma physics. In contrast to the previous velocity resonance mechanism, we rely on the characteristic line technique to present the synthesis conditions for nonautonomous breather molecules and explore their dynamics under different management modes. Furthermore, we analyze the distance variations between two breather units in the breather molecule. Finally, we degenerate the second-order breather solution into a rational solution and investigate the dynamics of higher-order nonautonomous rogue waves under periodic and exponential management.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116277"},"PeriodicalIF":5.3,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143636458","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":"Dynamic analysis of bidirectional pedestrian flow under fast walking condition","authors":"Rui Ye ,&nbsp;Guang Zeng ,&nbsp;Shuchao Cao ,&nbsp;Liping Lian","doi":"10.1016/j.chaos.2025.116313","DOIUrl":"10.1016/j.chaos.2025.116313","url":null,"abstract":"<div><div>The occasions where pedestrians move in a fast way can be frequently observed in daily life. However, research on pedestrian dynamics under fast walking condition is scarce, especially in bidirectional scenario. Therefore, in this paper we conduct an experimental study to compare the behavioral characteristics of normal walking and fast walking bidirectional pedestrian flows. The result shows that on average the crossing time decreases by around 29 % when walking fast. As observed from the individual fundamental diagram, the speed is always higher under fast walking condition at the same density, and the speed difference between normal walking and fast walking is obtained as Δ<em>v</em> = −0.048<em>ρ</em> + 0.431. When the density is lower than 2 ped/m², the time to collision is smaller in fast walking flow. However, they become consistent at higher density, which may be a result of lane formation. The risks of these two pedestrian streams are further quantified through congestion level and crowd danger. It demonstrates that the risk is higher in fast walking bidirectional flow. It is hoped that our experimental results can be of help to the safety management of bidirectional pedestrian flow.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116313"},"PeriodicalIF":5.3,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143636457","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}