Guanghan Peng , Keke Wang , Huili Tan , Darong Huang
{"title":"Jamming transition of connected vehicles platform integrating speed change memory information to counteract cyber-attacks on slope lane","authors":"Guanghan Peng , Keke Wang , Huili Tan , Darong Huang","doi":"10.1016/j.chaos.2025.116413","DOIUrl":"10.1016/j.chaos.2025.116413","url":null,"abstract":"<div><div>Under the connected environment, connected vehicles need to resist cyber-attacks such as tampered information in an open network of the traffic system. Additionally, slope lane is frequently seen in real traffic, which means that the gravitational action of the vehicles themselves cannot be ignored. Accordingly, a novel car-following model is constructed by aggregating the tampered speed difference (a type of cyber-attacks) with compensation and gravitational action on slope lane under connected vehicles environment (called for TSDCG model for simply). Moreover, we obtain the conditions for the traffic system to remain stable and the range of compensation parameters through cybernetics. Furthermore, numerical simulation is implemented for various intensities of the tampered speed difference. The results show that the tampered speed difference deteriorates the traffic system on both uphill and downhill. And on the contrary, the compensation can alleviate traffic congestion and effectively improve the stability of the traffic system when the connected vehicles are attacked by the tampered speed difference whether uphill or downhill. Also, the simulation results show that the compensation for the tampered speed difference can effectively reduce fuel consumption and pollutants emissions including CO, HC and NO<sub>x</sub>.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116413"},"PeriodicalIF":5.3,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143800310","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":"Reputation in public goods cooperation under double Q-learning protocol","authors":"Kai Xie , Attila Szolnoki","doi":"10.1016/j.chaos.2025.116398","DOIUrl":"10.1016/j.chaos.2025.116398","url":null,"abstract":"<div><div>Understanding and resolving cooperation dilemmas are key challenges in evolutionary game theory, which have revealed several mechanisms to address them. This paper investigates the comprehensive influence of multiple reputation-related components on public cooperation. In particular, cooperative investments in public goods game are not fixed but simultaneously depend on the reputation of group organizers and the population’s cooperation willingness, hence indirectly impacting on the players’ income. Additionally, individual payoff can also be directly affected by their reputation via a weighted approach which effectively evaluates the actual income of players. Unlike conventional models, the reputation change of players is non-monotonic, but may transform abruptly due to specific actions. Importantly, a theoretically supported double <span><math><mi>Q</mi></math></span>-learning algorithm is introduced to avoid overestimation bias inherent from the classical <span><math><mi>Q</mi></math></span>-learning algorithm. Our simulations reveal a significantly improved cooperation level, that is explained by a detailed <span><math><mi>Q</mi></math></span>-value analysis. We also observe the lack of massive cooperative clusters in the absence of network reciprocity. At the same time, as an intriguing phenomenon, some actors maintain moderate reputation and are continuously flipping between cooperation and defection. The robustness of our results are validated by mean-field approximation.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116398"},"PeriodicalIF":5.3,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143800312","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":"Induction of chimera states in Hindmarsh-Rose neurons through astrocytic modulation: Implications for learning mechanisms","authors":"Fatemeh Azad , Saeed Bagheri Shouraki , Soheila Nazari , Mansun Chan","doi":"10.1016/j.chaos.2025.116414","DOIUrl":"10.1016/j.chaos.2025.116414","url":null,"abstract":"<div><div>Chimera states, a form of partial synchronization in neural networks, are characterized by the coexistence of synchronized and asynchronous regions. These states are crucial for various cognitive functions, such as learning and information processing. Conversely, abnormal synchronization—often referred to as hyper-synchronization—can lead to pathological conditions such as epilepsy and Parkinson's disease. Understanding the mechanisms underlying synchronization can provide valuable insights for developing effective therapeutic strategies for these disorders. Astrocyte, a primary type of glial cell, plays a pivotal role in modulating neural synchrony. They influence the synchronization threshold of neurons by providing feedback through the release of gliotransmitters, promoting group firing of neurons within the astrocyte's domain. This research aims to explore how astrocytes can facilitate the conversion of hyper-synchronized states into healthy chimera states within neural networks. This process is vital for maintaining normal brain function and may be critical to advancing treatments for neurological conditions. We analyzed how astrocytes can induce chimera states in nonlocally two-dimensional Hindmarsh-Rose neurons, which serve as realistic models of neuronal ensembles. Our findings demonstrate that astrocytes can effectively transition unhealthy hyper-synchronization states into healthy chimera states. Furthermore, by analyzing time spans, spatiotemporal patterns, inter-spike interval distributions (ISI), and phase plane diagrams of 2D H-R neurons, we validated our hypothesis about the crucial role of astrocytes in the development of chimera states. The outcomes may pave the way for innovative therapeutic approaches to restore normal neural activity patterns, ultimately improving patient outcomes in conditions such as epilepsy and Parkinson's disease.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116414"},"PeriodicalIF":5.3,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143800313","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":"Stochastic process rule-based Markov chain method for degree correlation of evolving networks","authors":"Yue Xiao, Xiaojun Zhang","doi":"10.1016/j.chaos.2025.116391","DOIUrl":"10.1016/j.chaos.2025.116391","url":null,"abstract":"<div><div>There is yet to be a unified theoretical framework for defining and solving degree correlation in evolving networks, which limits applied research in evolving networks. To address this problem, we proposed a stochastic process-based Markov chain method. The transition rules of network nodes and edges designed in this method ensure that the network topology and statistical characteristics at any time are the same as those in natural evolution. Then, the Markov chain model constructed based on this rule gives the theoretical results of the steady-state joint degree distribution of directed pure growth networks and corresponding undirected networks. Finally, the accuracy of the solution was verified by Monte Carlo simulation, and the probability functions of the joint degree distribution under different parameters were given. This work not only provides a theoretical research framework for the steady-state degree correlation of evolving networks for the first time but is also applicable to the study of many complex network evolution mechanisms and high-order statistical characteristics. In addition, this method can also study the transient degree correlation of networks at any time, providing a new perspective for network dynamics control.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116391"},"PeriodicalIF":5.3,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143800311","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":"Dark-bright-dark rogue wave triplets within a partially nonlocal three-component nonlinear Schrödinger framework","authors":"Liang-Yuan Chen, Hong-Yu Wu","doi":"10.1016/j.chaos.2025.116384","DOIUrl":"10.1016/j.chaos.2025.116384","url":null,"abstract":"<div><div>The partially nonlocal multi-component nonlinear Schrödinger system holds significant application potential for modeling partially nonlocal nonlinear responses in multi-division multiplexing optical information systems. However, research exploring three-component systems with distinct rogue wave configurations remains notably scarce. In this study, we address this gap by investigating a variable-coefficient (2+1)-dimensional partially nonlocal three-component nonlinear Schrödinger system, which is systematically reduced to a constant-coefficient three-component equation for analytical solution construction. By employing the Darboux transformation, we successfully derive partially nonlocal dark-bright-dark rogue wave triplet solutions. Furthermore, we comprehensively analyze various excitation regimes of these rogue wave triplets in the exponential diffraction system, including full, trailing, peak-maintaining, and inhibited excitations. This analysis is conducted through a comparative examination of the maximal accumulated time relative to the excited location parameters of the rogue wave triplets. The insights gained from this study significantly enhance our fundamental understanding of ultrashort wave phenomena observed across diverse physics and engineering domains.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116384"},"PeriodicalIF":5.3,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143800314","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":"Charging free fermion quantum batteries","authors":"Riccardo Grazi, Fabio Cavaliere, Maura Sassetti, Dario Ferraro, Niccolò Traverso Ziani","doi":"10.1016/j.chaos.2025.116383","DOIUrl":"10.1016/j.chaos.2025.116383","url":null,"abstract":"<div><div>The performances of many-body quantum batteries strongly depend on the Hamiltonian of the battery, the initial state, and the charging protocol. In this article we derive an analytical expression for the energy stored via a double sudden quantum quench in a large class of quantum systems whose Hamiltonians can be reduced to 2x2 free fermion problems, whose initial state is thermal. Our results apply to conventional two-band electronic systems across all dimensions and quantum spin chains that can be solved through the Jordan–Wigner transformation. In particular, we apply our analytical relation to the quantum Ising chain, to the quantum XY chain, to the cluster Ising and to the long range SSH models. We obtain several results: (i) The strong dependence of the stored energy on the quantum phase diagram of the charging Hamiltonian persists even when the charging starts from a thermal state. Interestingly, in the thermodynamic limit, such a strong dependence manifests itself as non-analyticities of the stored energy corresponding to the quantum phase transition points of the charging Hamiltonian. (ii) The dependence of the stored energy on the parameters of the Hamiltonian can, in the Ising chain case, be drastically reduced by increasing temperature; (iii) Charging the Ising or the XY chain prepared in the ground state of their classical points leads to an amount of stored energy that, within a large parameter range, does not depend on the charging parameters; (iv) The cluster Ising model and the long range SSH model, despite showing quantum phase transitions (QPTs) between states with orders dominated by different interaction ranges, do not exhibit super-extensive, <em>i.e.</em> more than linear in the number of sites, scaling of the charging power.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116383"},"PeriodicalIF":5.3,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143790864","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}
Haoyu Li , Jianpeng An , Rongshun Juan , Tina P. Benko , Matjaž Perc , Weidong Dang , Zhongke Gao
{"title":"Manifold-based multi-branch transfer learning for MI-EEG decoding","authors":"Haoyu Li , Jianpeng An , Rongshun Juan , Tina P. Benko , Matjaž Perc , Weidong Dang , Zhongke Gao","doi":"10.1016/j.chaos.2025.116326","DOIUrl":"10.1016/j.chaos.2025.116326","url":null,"abstract":"<div><div>We present a novel decoding approach for motor imagery electroencephalograms (MI-EEG) in Brain-Computer Interface (BCI) systems, aiming to advance neurorehabilitation and human–computer interaction. However, due to the non-stationary properties and low signal-to-noise ratio of MI-EEG, as well as significant individual variability, achieving accurate cross-subject decoding remains a challenge for real-world applications. To address this, we propose a manifold-based data processing method combined with a multi-branch network and enhanced by transfer learning to improve cross-subject performance. First, we identify the frequency bands relevant to motor imagery tasks and align multi-band data on the Symmetric Positive Definite (SPD) manifold using the Log-Euclidean Metric (LEM), including both full-band data and motor imagery-specific frequency bands. We then reconstruct these data from the manifold using a low-rank representation (LRP). Finally, we use a multi-branch network to extract and fuse deep features from the various frequency bands. We validated our approach on the BCI Competition IV-2a dataset and our JS-MI dataset, demonstrating that our method excels in cross-subject MI-EEG decoding tasks, with average classification accuracies of 74.55% and 71.94%, respectively. Our findings highlight the potential of this approach to improve BCI applications and facilitate more effective neurorehabilitation and human–computer interaction through enhanced MI-EEG decoding.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116326"},"PeriodicalIF":5.3,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143790863","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}
Xianyang Liang , Lu Tian , Peiyu Zhang , Kaijian Chen , Bingsuo Zou , Peilong Hong , Yu-Xuan Ren , Yi Liang
{"title":"Nonlinear self-trapping and fluorescence excitation in Chlorophyll solution","authors":"Xianyang Liang , Lu Tian , Peiyu Zhang , Kaijian Chen , Bingsuo Zou , Peilong Hong , Yu-Xuan Ren , Yi Liang","doi":"10.1016/j.chaos.2025.116380","DOIUrl":"10.1016/j.chaos.2025.116380","url":null,"abstract":"<div><div>Chlorophyll, an essential pigment for photosynthesis, is abundant in plants, algae, and cyanobacteria. Over the past few decades, research has primarily focused on its unique roles in photosynthesis, however, the nonlinear light interaction with chlorophyll is highly unexplored. We report on the nonlinear optical interplay of light with the chlorophyll solution at different concentrations. In this solution with biologically small organic molecules, we observed nonlinear self-trapping as a laser beam propagates through the chlorophyll solution. Moreover, the magnitude of the optical nonlinearity also depends on the chlorophyll concentration. In addition, the chlorophyll solution produces red fluorescence covering the self-induced waveguide channel and the propagation mode is consistent with the laser. By inspecting the spectra of the fluorescence, we discover that the power at which chlorophyll reaches saturation closely aligns with the optimal power for self-trapping. Our findings on light self-guiding in biological molecule media may open the door to biophotonic applications, contributing to green development across multiple industries.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116380"},"PeriodicalIF":5.3,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143790862","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}
Cuimei Jiang , Yunxiao Ye , Fangfang Zhang , Lei Kou , Han Bao , Jianlin Zhang , Hongjun Liu
{"title":"Hardware implementation and information security application of a novel chaotic system with a cubic memristor and complex parameters","authors":"Cuimei Jiang , Yunxiao Ye , Fangfang Zhang , Lei Kou , Han Bao , Jianlin Zhang , Hongjun Liu","doi":"10.1016/j.chaos.2025.116379","DOIUrl":"10.1016/j.chaos.2025.116379","url":null,"abstract":"<div><div>The inherent properties of chaos offer significant potential for information security, especially in cryptographic applications like image encryption. Therefore, a novel complex chaotic system with a memristor and complex parameters is proposed, its dynamic behaviors are investigated, and its hardware implementation is provided. Parameter-dominated attractors are identified and a precise definition is established. The system exhibits an extensive chaotic region and a broad parameter range, enabling the production of infinitely long key streams. A novel image encryption scheme is proposed by integrating the Advanced Encryption Standard with the proposed chaotic system. This system features a new key generation algorithm and a dynamic Substitution-box algorithm. Rigorous experimentation and security analysis confirm that the proposed algorithm successfully mitigates adjacent pixel correlation while exhibiting strong resilience against various attacks. The proposed method will advance the development of complex chaotic cryptography and establish a foundation for its industrial applications in information security.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116379"},"PeriodicalIF":5.3,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143785985","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}
Min Xiao , Zhongtian Gao , Tianrui Chen , Ju H. Park
{"title":"Resampled interval control for prescribed-time bipartite synchronization of signed networks","authors":"Min Xiao , Zhongtian Gao , Tianrui Chen , Ju H. Park","doi":"10.1016/j.chaos.2025.116343","DOIUrl":"10.1016/j.chaos.2025.116343","url":null,"abstract":"<div><div>This paper explores prescribed-time bipartite synchronization (PTBS) of signed networks by employing resampled interval control (RIC). With the introduction of an interval adjustment parameter sequence, the control input can be adjusted dynamically, which makes the control strategy both effective and economical. Under this control strategy, bipartite synchronization can be achieved within the prescribed time. Subsequently, a Lyapunov function is constructed with an auxiliary function and Kirchhoff’s matrix tree theorem is introduced to derive the sufficient condition for achieving PTBS under RIC. Finally, a numerical example of Chua’s circuits (CCs) is exhibited to demonstrate the effectiveness of the theoretical analysis.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116343"},"PeriodicalIF":5.3,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143785981","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}