Chaos Solitons & Fractals最新文献_第7页

The self-rotating beams base on diametric drive acceleration related to band curvature in a nonlocal two-dimensional square photonic lattice

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-22 DOI: 10.1016/j.chaos.2025.116268

Shuxia Mo, Yinuo Cui, Wei Hu, Daquan Lu

{"title":"The self-rotating beams base on diametric drive acceleration related to band curvature in a nonlocal two-dimensional square photonic lattice","authors":"Shuxia Mo, Yinuo Cui, Wei Hu, Daquan Lu","doi":"10.1016/j.chaos.2025.116268","DOIUrl":"10.1016/j.chaos.2025.116268","url":null,"abstract":"<div><div>Optical diametric drive acceleration, also known as self-acceleration, has been predicted theoretically and verified experimentally in one-dimensional(1D) photonic lattices, which appears as two beams bending in the same direction. This phenomenon results from the interaction between two beams with positive and negative effective masses which are defined by energy band curvature. In contrast to 1D case, the band curvature is a second-order tensor in a two-dimensional(2D) photonic lattice, which may be isotropic or anisotropic. The energy bands exhibit a close relationship with the lattice structure, and the simplest square photonic lattice with three high symmetry points has been selected for this paper. We investigate the propagation of the anisotropic X-beam and the isotropic M-beam under the self-defocusing Kerr nonlinearity. The result shows that X-beam and M-beam bend in the same direction when they are staggered only in the x-direction. This is consistent with self-acceleration in 1D photonic lattices. And when their incident position is staggered in both the x-direction and y-direction, they undergo a rotation during propagation, which we call self-rotation. This self-rotation possesses a novel mechanism in that the beams under study do not require a helical structure similar to vortex beams, do not need to take into account the spin–orbit interactions and pseudospin-mediated, and just propagate in a 2D non-chiral photonic material.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116268"},"PeriodicalIF":5.3,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143684054","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}

引用次数: 0

The impact of memory reputation-induced tax and reward allocation on spatial public goods games

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-22 DOI: 10.1016/j.chaos.2025.116298

Xingping Sun , Haoran Zhu , Hongwei Kang, Yanzheng Bi, Yong Shen, Qingyi Chen

{"title":"The impact of memory reputation-induced tax and reward allocation on spatial public goods games","authors":"Xingping Sun , Haoran Zhu , Hongwei Kang, Yanzheng Bi, Yong Shen, Qingyi Chen","doi":"10.1016/j.chaos.2025.116298","DOIUrl":"10.1016/j.chaos.2025.116298","url":null,"abstract":"<div><div>In spatial public goods games (SPGG), the use of rewards serves as an effective strategy to enhance cooperation among group members. In this scenario, the rewarder incurs a cost to incentivize altruistic behavior. However, many individuals who are willing to cooperate are unwilling to bear the cost of incentives and thus become second-order free-riders. To address this issue, we propose a tax allocation mechanism that levies a specific tax from all participants in the public goods games to subsidize the rewarders. The introduction of a reputation system can significantly elevate the level of cooperation among individuals within the framework. To further enhance cooperation, we suggest implementing a memory-based reputation allocation mechanism. This mechanism distributes taxes and rewards to group members based on the magnitude of individual reputations of the cooperators and the rewarders. Through comprehensive numerical analyses, we demonstrate that the memory-based allocation of taxes and rewards typically fosters an increase in cooperation levels within the system and clarifies the origins of the rewards, thereby rendering the model more realistic compared to traditional reward systems.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116298"},"PeriodicalIF":5.3,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143684120","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}

引用次数: 0

Dynamical behaviors of a stochastic SIR epidemic model with reaction–diffusion and spatially heterogeneous transmission rate

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-21 DOI: 10.1016/j.chaos.2025.116283

Tan Su, Yonggui Kao, Daqing Jiang

{"title":"Dynamical behaviors of a stochastic SIR epidemic model with reaction–diffusion and spatially heterogeneous transmission rate","authors":"Tan Su, Yonggui Kao, Daqing Jiang","doi":"10.1016/j.chaos.2025.116283","DOIUrl":"10.1016/j.chaos.2025.116283","url":null,"abstract":"<div><div>Much effort has been paid to epidemic models built by ordinary differential equations (ODEs), partial differential equations (PDEs), or stochastic differential equations (SDEs) and received remarkable achievement. Different from these models, we establish and analyze a SIR epidemic model by using stochastic partial differential equations (SPDEs) in this paper, which incorporates the influence of inevitable population diffusion, spatial heterogeneity, and environmental perturbation. For this model, the existence and uniqueness of the global positive solution is first proved through an innovative variable transformation approach. Then, we establish the sufficient condition for the existence of the Infected class by constructing suitable Lyapunov functions. The exponential extinction of disease is also investigated. More importantly, the exact expression of the probability density function near the equilibrium is obtained by theoretical analysis and matrix calculation. Further, we perform several numerical simulations to illustrate theoretical results. Finally, the corresponding conclusions and prospects are discussed.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116283"},"PeriodicalIF":5.3,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143666485","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}

引用次数: 0

Stochastic analysis of dynamic transformations in a system of migration-coupled chaotic populations with the Allee effect

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-21 DOI: 10.1016/j.chaos.2025.116290

Irina Bashkirtseva

引用次数: 0

Newton conjugate gradient method for discrete nonlinear Schrödinger equations

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-20 DOI: 10.1016/j.chaos.2025.116302

Rujiang Li, Xiangyu Kong, Wencai Wang, Yongtao Jia, Ying Liu

{"title":"Newton conjugate gradient method for discrete nonlinear Schrödinger equations","authors":"Rujiang Li, Xiangyu Kong, Wencai Wang, Yongtao Jia, Ying Liu","doi":"10.1016/j.chaos.2025.116302","DOIUrl":"10.1016/j.chaos.2025.116302","url":null,"abstract":"<div><div>Discrete nonlinear Schrödinger equations (DNLSEs) are fundamental in describing wave dynamics in nonlinear lattices across various systems, including optics and cold atomic physics. With the advent of topological phases of matter, the DNLSEs that characterize nonlinear topological states and topological solitons in nonlinear topological systems have become increasingly complex. Newton’s method, which is a traditional approach to solve the DNLSEs, faces significant challenges in solving these intricate nonlinear problems. Here, we propose the Newton conjugate gradient (NCG) method as an efficient alternative for solving the DNLSEs. By combining Newton iterations with conjugate gradient iterations, the NCG method achieves a comparable number of iterations to Newton’s method but is significantly faster overall and better suited at finding complex solutions. Using bulk solitons in a nonlinear photonic Chern insulator as an example, we demonstrate that the NCG method is particularly well-suited for solving DNLSEs that describe nonlinear topological systems. The NCG method serves as a powerful tool for investigating nonlinear topological states and topological solitons in even more complex nonlinear topological systems.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116302"},"PeriodicalIF":5.3,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143666487","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}

引用次数: 0

Improved dynamic output feedback control for T-S fuzzy systems against hybrid cyber-attacks via neural network method

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-20 DOI: 10.1016/j.chaos.2025.116235

Huiyan Zhang , Zixian Chen , Hao Sun , Rathinasamy Sakthivel

{"title":"Improved dynamic output feedback control for T-S fuzzy systems against hybrid cyber-attacks via neural network method","authors":"Huiyan Zhang , Zixian Chen , Hao Sun , Rathinasamy Sakthivel","doi":"10.1016/j.chaos.2025.116235","DOIUrl":"10.1016/j.chaos.2025.116235","url":null,"abstract":"<div><div>This paper proposes a novel neural network-based dynamic output feedback controller (NN-DOFC) for nonlinear systems subject to hybrid cyber-attacks. The nonlinear terms are modeled using Takagi–Sugeno fuzzy inference rules, and the NN-DOFC is introduced to ensure that the closed-loop system achieves asymptotic stability while satisfying the <span><math><mrow><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>,</mo><mi>Z</mi><mo>)</mo></mrow></math></span>-dissipative property. The conventional DOFC’s gains are integrated as partial weights within the NN-DOFC framework, indicating that the traditional approach can be considered a specific instance of the proposed NN-DOFC. The three-layer fully connected feedforward neural network architecture extends the capabilities of the traditional DOFC. Additionally, a Bernoulli process is employed to model the hybrid cyber-attacks, including denial-of-service (DoS) and deception attacks. Then, the values of the controller are partially obtained by solving linear matrix inequalities and partially optimized using a genetic algorithm. Finally, by comparing the stabilization effects of the traditional DOFC with the proposed NN-DOFC, the effectiveness of the latter is demonstrated.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116235"},"PeriodicalIF":5.3,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143666521","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}

引用次数: 0

Derivation of Born/von Kármán difference equations through consistent lattice angular interactions

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-20 DOI: 10.1016/j.chaos.2025.116251

Noël Challamel , H.P. Nguyen , C.M. Wang , Giuseppe Ruta

{"title":"Derivation of Born/von Kármán difference equations through consistent lattice angular interactions","authors":"Noël Challamel , H.P. Nguyen , C.M. Wang , Giuseppe Ruta","doi":"10.1016/j.chaos.2025.116251","DOIUrl":"10.1016/j.chaos.2025.116251","url":null,"abstract":"<div><div>This paper investigates statics and dynamics of two-dimensional (2D) linear elastic lattices and their continuum approximations. Focus is on the mixed differential-difference equations proposed by Born and von Kármán in 1912 for cubic lattices with both central and non-central interactions, applied here to 2D lattices. The non-central interaction introduced by Born and von Kármán, classified as a shear interaction, corresponds to a frame-dependent (non-objective) angular interaction. A consistent connection between discrete and continuum elasticity can be achieved by incorporating the proper non-central (angular) interactions introduced by Gazis et al. in 1960. Inspired by Hrennikoff's truss scheme, we constructed an alternative lattice model, based on Gazis et al. formulation, that is augmented with additional objective internal angular interactions. The difference operators associated with both consistent lattices, i.e. Gazis et al. lattice and the new Hrennikoff inspired lattice, are shown to differ. The conditions of positive definiteness of the associated potential energy of each lattice, are discussed. The new lattice successfully bridges the gap between discrete and continuum elasticity, while being governed by the same mixed differential-difference equations proposed by Born and von Kármán. It can reproduce macroscopic auxetic behaviour, while preserving the positive definiteness of its discrete potential energy. This finding resolves the long-standing inconsistency of Born and von Kármán's equations, which, originally derived from flawed physical assumptions, can now be justified through correct mathematical reasoning.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116251"},"PeriodicalIF":5.3,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143666489","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Instability-driven dynamics of spin–orbit and Rabi-coupled Bose–Einstein condensates

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-20 DOI: 10.1016/j.chaos.2025.116287

Rajamanickam Ravisankar , Kannan Rajaswathi , Ramaswamy Radha , Paulsamy Muruganandam , Xianlong Gao

{"title":"Instability-driven dynamics of spin–orbit and Rabi-coupled Bose–Einstein condensates","authors":"Rajamanickam Ravisankar , Kannan Rajaswathi , Ramaswamy Radha , Paulsamy Muruganandam , Xianlong Gao","doi":"10.1016/j.chaos.2025.116287","DOIUrl":"10.1016/j.chaos.2025.116287","url":null,"abstract":"<div><div>We investigate the dynamics of quasi-one-dimensional Bose–Einstein condensates (BECs) with spin–orbit and Rabi couplings focusing on the role of nonlinear interactions in shaping the stability and dynamics of quantum phases like plane-wave and stripe-wave phases. Using the Bogoliubov–de-Gennes theory, we first analyze the stability of binary BECs with and without spin–orbit and Rabi couplings. Our results reveal distinct unstable and stable regimes in the nonlinear interaction parameter space, highlighting the emergence of soliton trains, beating effects, and stable breathers in both quantum phases under varying nonlinear interaction strengths and non-equilibrium conditions. Furthermore, we identify that specific combinations of interspecies and intraspecies interactions facilitate the emergence of the stable phonons and infinitesimal roton instabilities, which underpin the dynamically stable superfluid quantum droplet-like nature of the plane-wave and stripe-wave phases. In this context, stable phonons create quantum droplet-like structures in the absence of a trap. However, infinitesimal roton instabilities result in metastable states that can be stabilized with a relatively weak trap leading to stable stripe quantum droplets. These results which are validated through numerical simulations provide deeper insights into the nonlinear effects in spin–orbit and Rabi-coupled BECs.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116287"},"PeriodicalIF":5.3,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143666488","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}

引用次数: 0

Evolutionary dynamics of a probabilistic punishment mechanism with environmental feedback in regular networked Prisoner's Dilemma

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-20 DOI: 10.1016/j.chaos.2025.116323

Jiaqi Liu, Qianwei Zhang

{"title":"Evolutionary dynamics of a probabilistic punishment mechanism with environmental feedback in regular networked Prisoner's Dilemma","authors":"Jiaqi Liu, Qianwei Zhang","doi":"10.1016/j.chaos.2025.116323","DOIUrl":"10.1016/j.chaos.2025.116323","url":null,"abstract":"<div><div>In this paper, we investigate the interconnection between players' strategies and the probability of effective punishment. We propose to integrate the environmental feedback and a punishment mechanism to construct a Prisoner's Dilemma game model within a regular network. Based on our analysis, we identify three unique system states: a single stable state where defection predominates and the probability of effective punishment is low, a single stable state where cooperation prevails and the probability of effective punishment is high, and a bi-stable condition characterized by the coexistence of two stable states. We deduce that alterations in the speed of the environmental feedback can influence the system's convergence behavior under bi-stable conditions. The conclusion could be drawn that accelerating the rate at which the probability of effective punishment is updated can be beneficial for enhancing cooperation within social systems. The findings highlight the critical role of the proposed punishment mechanism in fostering long-term stability and sustainable development within societies.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116323"},"PeriodicalIF":5.3,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143666486","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}

引用次数: 0

Radially inflows and outflows of non-Newtonian Ree-Eyring fluid between two narrow disks with temperature-dependent viscosity

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-03-19 DOI: 10.1016/j.chaos.2025.116329

A. Naeem , Z. Abbas , M.Y. Rafiq , S. Khaliq

引用次数: 0