Chaos最新文献 - Book学术

Exploring discrete rogue wave, hybrid wave, and their dynamics in a semi-discrete coherently coupled NLS equation featuring a 4 × 4 matrix spectral problem. 在具有4 × 4矩阵谱问题的半离散相干耦合NLS方程中探索离散异常波、混合波及其动力学。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0263357

Xiao-Yong Wen, Ting Zhang

{"title":"Exploring discrete rogue wave, hybrid wave, and their dynamics in a semi-discrete coherently coupled NLS equation featuring a 4 × 4 matrix spectral problem.","authors":"Xiao-Yong Wen, Ting Zhang","doi":"10.1063/5.0263357","DOIUrl":"https://doi.org/10.1063/5.0263357","url":null,"abstract":"This paper delves into a semi-discrete coherently coupled nonlinear Schrödinger equation characterized by a 4×4 matrix spectral problem. Our primary objective is to explore the modulation instability theory of this equation, elucidating its formation mechanism from its plane wave solutions. Second, we aim to demonstrate that this equation can be transformed into a new continuous equation in the context of the continuous limit. Notably, utilizing the established 4×4 matrix spectral problem, we establish a discrete generalized (m,N-m)-fold Darboux transformation, from which we theoretically derive novel rogue wave and periodic wave solutions, as well as their hybrid counterparts. In particular, we obtain discrete rogue waves featuring double peaks and double troughs on a plane wave background, as well as those that exhibit only peaks and lack troughs on a zero background, both of which incorporate arbitrarily controllable position parameters. Subsequently, we graphically analyze all these innovative structures. These findings may hold potential implications for describing the optical pulse propagation in the optical fiber.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 4","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143762451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Effects of positive and negative social reinforcement on coupling of information and epidemic in multilayer networks. 多层网络中正、负社会强化对信息与疫情耦合的影响

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0255106

Liang'an Huo, Lin Liang, Xiaomin Zhao

{"title":"Effects of positive and negative social reinforcement on coupling of information and epidemic in multilayer networks.","authors":"Liang'an Huo, Lin Liang, Xiaomin Zhao","doi":"10.1063/5.0255106","DOIUrl":"10.1063/5.0255106","url":null,"abstract":"The spread of epidemics is often accompanied by the spread of epidemic-related information, and the two processes are interdependent and interactive. A social reinforcement effect frequently emerges during the transmission of both the epidemic and information. While prior studies have primarily examined the role of positive social reinforcement in this process, the influence of negative social reinforcement has largely been neglected. In this paper, we incorporate both positive and negative social reinforcement effects and establish a two-layer dynamical model to investigate the interactive coupling mechanism of information and epidemic transmission. The Heaviside step function is utilized to describe the influence mechanism of positive and negative social reinforcements in the actual transmission process. A microscopic Markov chain approach is used to describe the dynamic evolution process, and the epidemic outbreak threshold is derived. Extensive Monte Carlo numerical simulations demonstrate that while positive social reinforcement alters the outbreak threshold of both information and epidemic and promotes their spread, negative social reinforcement does not change the outbreak threshold but significantly impedes the transmission of both. In addition, publishing more accurate information through official channels, intensifying quarantine measures, promoting vaccines and treatments for outbreaks, and enhancing physical immunity can also help contain epidemics.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 4","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143802643","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Quasi-stationary distributions for the collective motions of a binary astrophysical system: A Langevin dynamics approach. 双天体物理系统集体运动的准平稳分布：朗之万动力学方法。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0254612

C Michea, L Velazquez

引用次数: 0

Power-law behavior around bifurcation points of 1D maps: A supertracks approach. 一维地图分岔点周围的幂律行为：一种超级轨迹方法。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0233615

J G Polli, A J Fidélis, M G E da Luz

引用次数: 0

Fractional sub-equation neural networks (fSENNs) method for exact solutions of space-time fractional partial differential equations. 时空分数阶偏微分方程精确解的分数阶子方程神经网络方法。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0259937

Jiawei Wang, Yanqin Liu, Limei Yan, Kunling Han, Libo Feng, Runfa Zhang

{"title":"Fractional sub-equation neural networks (fSENNs) method for exact solutions of space-time fractional partial differential equations.","authors":"Jiawei Wang, Yanqin Liu, Limei Yan, Kunling Han, Libo Feng, Runfa Zhang","doi":"10.1063/5.0259937","DOIUrl":"10.1063/5.0259937","url":null,"abstract":"Analytical solutions of space-time fractional partial differential equations (fPDEs) are crucial for understanding dynamics features in complex systems and their applications. In this paper, fractional sub-equation neural networks (fSENNs) are first proposed to construct exact solutions of space-time fPDEs. The fSENNs embed the solutions of the fractional Riccati equation into neural networks (NNs). The NNs are a multi-layer computational models that are composed of weights and activation functions between neurons in the input, hidden, and output layers. In fSENNs, every neuron of the first hidden layer is assigned to the solutions of the fractional Riccati equation. In this way, the new trial functions are obtained. The exact solutions of space-time fPDEs can be obtained by fSENNs. In order to verify the rationality of this method, space-time fractional telegraph equation, space-time fractional Fisher equation, and space-time fractional CKdV-mKdV equation are investigated, and generalized fractional hyperbolic function solutions, generalized fractional trigonometric function solutions, and generalized fractional rational solutions are obtained. Since the fractional sub-equation is applied to the NNs model for the first time, more and new solutions can be obtained in this paper. The dynamic characteristics of some solutions corresponding to waves have been demonstrated through some diagrams.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 4","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143802647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Machine-learning potential energy surfaces implications in photodissociation process. 机器学习势能表面在光解过程中的意义。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0249690

Joaquin de la Cerda, Johan F Triana

{"title":"Machine-learning potential energy surfaces implications in photodissociation process.","authors":"Joaquin de la Cerda, Johan F Triana","doi":"10.1063/5.0249690","DOIUrl":"https://doi.org/10.1063/5.0249690","url":null,"abstract":"Multi-state quantum molecular dynamics is one of the most accurate methodologies for predicting rates and yields of different chemical reactions. However, the generation of potential energy surfaces (PES), transition dipoles, and non-adiabatic couplings from ab initio calculations become a challenge, especially because of the exponential growth of computational cost as the number of electrons and molecular modes increases. Thus, machine learning (ML) emerges as a novel technique to compute molecular properties using fewer resources. Yet, the validity of ML methodologies continues in constant development, particularly for high-energy regions where conventional ab initio sampling is reduced. We test the accuracy of the potential energy surfaces interpolated with machine learning (ML) techniques in the solution of the time-dependent Schrödinger equation for the conventional IR+UV bond-breaking process of semi-heavy water. We perform a statistical analysis of the differences in expectation values and dissociation probabilities, which depend on the number of ab initio points selected to generate the machine learning potential energy surface (ML-PES). The energy differences of the electronic excited state modify population transfer from the ground state by driving with a UV laser pulse. We consider as the exact solution the photodynamics implemented with analytical expressions of the electronic ground X~1A1 and excited A~1B1 states. The results of the mean bond distance and dissociation probabilities suggest that ML-PES is suitable for dynamics calculations around the Franck-Condon region, and that standard interpolation methods are more efficient for multistate dynamics that involve dissociative and repulsive energy regions of the electronic states. Our work contributes to the continued inclusion of ML tools in molecular dynamics to obtain accurate predictions of dissociation yields with fewer computational resources and non-written rules to follow in multi-state dynamics calculations.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 4","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143762456","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Synaptic delays shape dynamics and function in multimodal neural motifs. 多模态神经基图中的突触延迟、形状、动力学和功能。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0233640

Xinxin Qie, Jie Zang, Shenquan Liu, Andrey L Shilnikov

{"title":"Synaptic delays shape dynamics and function in multimodal neural motifs.","authors":"Xinxin Qie, Jie Zang, Shenquan Liu, Andrey L Shilnikov","doi":"10.1063/5.0233640","DOIUrl":"https://doi.org/10.1063/5.0233640","url":null,"abstract":"In neuroscience, delayed synaptic activity plays a pivotal and pervasive role in influencing synchronization, oscillation, and information-processing properties of neural networks. In small rhythm-generating networks, such as central pattern generators (CPGs), time-delays may regulate and determine the stability and variability of rhythmic activity, enabling organisms to adapt to environmental changes, and coordinate diverse locomotion patterns in both function and dysfunction. Here, we examine the dynamics of a three-cell CPG model in which time-delays are introduced into reciprocally inhibitory synapses between constituent neurons. We employ computational analysis to investigate the multiplicity and robustness of various rhythms observed in such multi-modal neural networks. Our approach involves deriving exhaustive two-dimensional Poincaré return maps for phase-lags between constituent neurons, where stable fixed points and invariant curves correspond to various phase-locked and phase-slipping/jitter rhythms. These rhythms emerge and disappear through various local (saddle-node, torus) and non-local (homoclinic) bifurcations, highlighting the multi-functionality (modality) observed in such small neural networks with fast inhibitory synapses.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 4","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143763028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Analytical investigations of stable periodic solutions in a two-degree-of-freedom kinematically forced impacting cantilever beam. 二自由度运动强迫冲击悬臂梁稳定周期解的解析研究。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0258015

Barbara Blazejczyk-Okolewska, Andrzej Okolewski

{"title":"Analytical investigations of stable periodic solutions in a two-degree-of-freedom kinematically forced impacting cantilever beam.","authors":"Barbara Blazejczyk-Okolewska, Andrzej Okolewski","doi":"10.1063/5.0258015","DOIUrl":"10.1063/5.0258015","url":null,"abstract":"This paper presents a comprehensive analytical study of a two-degree-of-freedom vibrating system with impacts, which can model a kinematically forced cantilever beam with a substantial mass and a concentrated mass at its end that impacts a rigid base during motion. An analytical method, based on Peterka's approach and tailored to the specific features of the system, is developed to analyze periodic motions, with particular emphasis on their occurrence and stability. The influence of system parameters, including clearance, mass distribution, and excitation frequency, on the system behavior is investigated, and parameter ranges are identified that lead to stable periodic solutions. The analytical results are then compared with numerical simulations in which Lyapunov exponents are calculated using an adapted Müller approach for numerical verification of stability. The two methods yield consistent results, confirming the effectiveness and precision of the approaches employed. It is demonstrated that the location and extent of regions of stable periodic solutions are significantly influenced by the relationships between the excitation frequency and the system eigenvalues. These results provide important insights for the design of kinematically forced vibro-impact systems with significant masses of elastic elements.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 4","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143802594","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Amplitude enhancements through rewiring of a non-autonomous delay system. 通过重新布线非自主延迟系统的振幅增强。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0252300

Kenta Ohira, Toru Ohira, Hideki Ohira

引用次数: 0

Evolutionary dynamics of continuous public goods games in structured populations. 结构群体中连续公共产品博弈的进化动力学。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0262821

Jing Luo, Duozi Lin, Xiaojie Chen, Attila Szolnoki

{"title":"Evolutionary dynamics of continuous public goods games in structured populations.","authors":"Jing Luo, Duozi Lin, Xiaojie Chen, Attila Szolnoki","doi":"10.1063/5.0262821","DOIUrl":"10.1063/5.0262821","url":null,"abstract":"Over the past few decades, many works have studied the evolutionary dynamics of continuous games. However, previous works have primarily focused on two-player games with pairwise interactions. Indeed, group interactions rather than pairwise interactions are usually found in real situations. The public goods game serves as a paradigm of multi-player interactions. Notably, various types of benefit functions are typically considered in public goods games, including linear, saturating, and sigmoid functions. Thus far, the evolutionary dynamics of cooperation in continuous public goods games with these benefit functions remain unknown in structured populations. In this paper, we consider the continuous public goods game in structured populations. By employing the pair approximation approach, we derive the analytical expressions for invasion fitness. Furthermore, we explore the adaptive dynamics of cooperative investments in the game with various benefit functions. First, for the linear public goods game, we find that there is no singular strategy, and the cooperative investments evolve to either the maximum or minimum depending on the benefit-to-cost ratio. Subsequently, we examine the game with saturating benefit functions and demonstrate the potential existence of an evolutionarily stable strategy (ESS). Additionally, for the game with the sigmoid benefit function, we observe that the evolutionary outcomes are closely related to the threshold value. When the threshold is small, a unique ESS emerges. For intermediate threshold values, both the ESS and repellor singular strategies can coexist. When the threshold value is large, a unique repellor displays. Finally, we perform individual-based simulations to validate our theoretical results.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 4","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143802645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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