Pub Date : 2024-10-31DOI: 10.1016/j.chaos.2024.115684
Jin Liu , Kehui Sun , Huihai Wang
In a recent paper (Liu et al., 2024), we reported on the microscopic mechanism underlying multistability in discrete dynamical systems, suggesting the potential for higher, even arbitrary-dimensional multistability in our conclusions. Before we can validate it, a fundamental question arises: what method can preserve the global dynamics of systems while allowing for an increase in dimensionality? This paper identifies the cyclic symmetric structure as a crucial solution and establishes two two-dimensional maps model based on it. The presence of multistability in any direction is affirmed, with this phenomenon representing either homogeneous or heterogeneous infinite expansion of the medium in multidimensional space. Furthermore, we uncover a range of dynamical characteristics, including grid-like phase trajectories, scale-free attractor clusters, fractal basin structures, symmetric attractors, and chaotic diffusion, all rooted in the system’s symmetric dynamical nature. This research not only enhances the comprehension of high-dimensional symmetric dynamics, but also offers a novel perspective for elucidating related models and phenomena.
在最近的一篇论文（Liu et al., 2024）中，我们报告了离散动力系统多稳定性的微观机制，并在结论中提出了更高、甚至任意维度多稳定性的可能性。在我们验证它之前，一个基本问题出现了：什么方法既能保持系统的全局动力学，又能允许维度的增加？本文认为循环对称结构是一个重要的解决方案，并在此基础上建立了两个二维映射模型。本文肯定了任何方向上的多稳定性的存在，这种现象代表了介质在多维空间中的同质或异质无限扩展。此外，我们还发现了一系列动力学特征，包括网格状相轨迹、无标度吸引子簇、分形盆地结构、对称吸引子和混沌扩散，所有这些都植根于系统的对称动力学性质。这项研究不仅加深了对高维对称动力学的理解，还为阐明相关模型和现象提供了新的视角。
{"title":"Cyclic symmetric dynamics in chaotic maps","authors":"Jin Liu , Kehui Sun , Huihai Wang","doi":"10.1016/j.chaos.2024.115684","DOIUrl":"10.1016/j.chaos.2024.115684","url":null,"abstract":"<div><div>In a recent paper (Liu et al., 2024), we reported on the microscopic mechanism underlying multistability in discrete dynamical systems, suggesting the potential for higher, even arbitrary-dimensional multistability in our conclusions. Before we can validate it, a fundamental question arises: what method can preserve the global dynamics of systems while allowing for an increase in dimensionality? This paper identifies the cyclic symmetric structure as a crucial solution and establishes two two-dimensional maps model based on it. The presence of multistability in any direction is affirmed, with this phenomenon representing either homogeneous or heterogeneous infinite expansion of the medium in multidimensional space. Furthermore, we uncover a range of dynamical characteristics, including grid-like phase trajectories, scale-free attractor clusters, fractal basin structures, symmetric attractors, and chaotic diffusion, all rooted in the system’s symmetric dynamical nature. This research not only enhances the comprehension of high-dimensional symmetric dynamics, but also offers a novel perspective for elucidating related models and phenomena.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115684"},"PeriodicalIF":5.3,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142560949","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}
Pub Date : 2024-10-30DOI: 10.1016/j.chaos.2024.115672
Muqaddar Abbas , Seyyed Hossein Asadpour , Rahmatullah , Feiran Wang , Hamid R. Hamedi , Pei Zhang
We present a novel technique that makes use of vortex light beams for generating spatially structured spontaneously emission in a atomic four-level configuration. This atomic configuration consists of two closely spaced excited levels linked to a microwave field and two optical vortex fields connecting them to the ground state. After that, the excited states eventually decays to a fourth metastable level. We find that spatially dependent spontaneous emission spectra may be obtained by efficiently transferring the orbital angular momentum (OAM) of the vortex-pumping light beams to the spontaneously emitted photons. This enables the targeted quenching of spontaneous emission in specific azimuthal regions, while simultaneously enhancing it in others. By effectively controlling the OAM of optical vortices and taking into account the correlations of the atomic gas and their collective decay to a metastable state via superradiance, it might be feasible to experimentally modify the probabilistic emission process with deterministic radiation. The approach we propose might be helpful in controlling the quantum level emission characteristics via the nonlinear interaction of the atom–vortex-beam light.
{"title":"Azimuthally dependent spontaneous emission from a coherently microwave-field driven four-level atom-light coupling scheme","authors":"Muqaddar Abbas , Seyyed Hossein Asadpour , Rahmatullah , Feiran Wang , Hamid R. Hamedi , Pei Zhang","doi":"10.1016/j.chaos.2024.115672","DOIUrl":"10.1016/j.chaos.2024.115672","url":null,"abstract":"<div><div>We present a novel technique that makes use of vortex light beams for generating spatially structured spontaneously emission in a atomic four-level configuration. This atomic configuration consists of two closely spaced excited levels linked to a microwave field and two optical vortex fields connecting them to the ground state. After that, the excited states eventually decays to a fourth metastable level. We find that spatially dependent spontaneous emission spectra may be obtained by efficiently transferring the orbital angular momentum (OAM) of the vortex-pumping light beams to the spontaneously emitted photons. This enables the targeted quenching of spontaneous emission in specific azimuthal regions, while simultaneously enhancing it in others. By effectively controlling the OAM of optical vortices and taking into account the correlations of the atomic gas and their collective decay to a metastable state via superradiance, it might be feasible to experimentally modify the probabilistic emission process with deterministic radiation. The approach we propose might be helpful in controlling the quantum level emission characteristics via the nonlinear interaction of the atom–vortex-beam light.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115672"},"PeriodicalIF":5.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554527","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}
Capacity-loaded networks with interdependent topologies accurately mirror various infrastructure networks. In this work, a partially interdependent network with capacity and loads model is proposed to portray the network structure in real systems. The theoretical framework based on percolation theory for predicting percolation thresholds in partially interdependent networks with capacity and loads is established using generating functions and self-consistent equations. The percolation transition of network is analyzed by initially removing fraction nodes and exploring the size of the giant component of the network after cascade failure. Random and scale-free networks are used for numerical and simulation experiments. We find that increasing the capacity parameter enhances the robustness of interdependent networks and alters the percolation characteristics within the network. The phase transition types in random networks exhibit notable variations across different average degrees, while those in scale-free networks are influenced by power-law exponents. Finally, the validity and accuracy of the proposed model is confirmed by a double-layer empirical network consisting of the World Cities Network and the U.S. Electricity Network.
{"title":"Percolation behavior of partially interdependent networks with capacity and loads","authors":"Mengjiao Chen, Niu Wang, Daijun Wei, Changcheng Xiang","doi":"10.1016/j.chaos.2024.115674","DOIUrl":"10.1016/j.chaos.2024.115674","url":null,"abstract":"<div><div>Capacity-loaded networks with interdependent topologies accurately mirror various infrastructure networks. In this work, a partially interdependent network with capacity and loads model is proposed to portray the network structure in real systems. The theoretical framework based on percolation theory for predicting percolation thresholds in partially interdependent networks with capacity and loads is established using generating functions and self-consistent equations. The percolation transition of network is analyzed by initially removing <span><math><mrow><mn>1</mn><mo>−</mo><mi>p</mi></mrow></math></span> fraction nodes and exploring the size of the giant component of the network after cascade failure. Random and scale-free networks are used for numerical and simulation experiments. We find that increasing the capacity parameter enhances the robustness of interdependent networks and alters the percolation characteristics within the network. The phase transition types in random networks exhibit notable variations across different average degrees, while those in scale-free networks are influenced by power-law exponents. Finally, the validity and accuracy of the proposed model is confirmed by a double-layer empirical network consisting of the World Cities Network and the U.S. Electricity Network.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115674"},"PeriodicalIF":5.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554529","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}
Pub Date : 2024-10-30DOI: 10.1016/j.chaos.2024.115681
Yang Li, Haihong Li, Shun Gao, Yirui Chen, Qionglin Dai, Junzhong Yang
Chimera states in excitable systems have received extensive attention in recent years. However, the spiral wave chimera in a two-dimensional excitable system has not been observed yet. In this study, we investigate spiral wave chimeras in two-dimensional nonlocally coupled excitable FitzHugh–Nagumo neurons. Depending on the relative coupling radius and the coupling phase, we find spiral wave chimeras numerically. We also find a novel spiral wave pattern, the spiral wave amplitude death chimera, characterized by a non-excited core. By exploring the phase diagram of different spiral wave chimera dynamics, we find the transition between spiral wave chimeras with an incoherent core and spiral wave amplitude death chimeras with a non-excited core when the coupling phase crosses . We also find that large (the parameter in the FitzHugh–Nagumo neuron) favors the spiral wave amplitude death chimera.
{"title":"Spiral wave chimeras in nonlocally coupled excitable FitzHugh–Nagumo neurons","authors":"Yang Li, Haihong Li, Shun Gao, Yirui Chen, Qionglin Dai, Junzhong Yang","doi":"10.1016/j.chaos.2024.115681","DOIUrl":"10.1016/j.chaos.2024.115681","url":null,"abstract":"<div><div>Chimera states in excitable systems have received extensive attention in recent years. However, the spiral wave chimera in a two-dimensional excitable system has not been observed yet. In this study, we investigate spiral wave chimeras in two-dimensional nonlocally coupled excitable FitzHugh–Nagumo neurons. Depending on the relative coupling radius and the coupling phase, we find spiral wave chimeras numerically. We also find a novel spiral wave pattern, the spiral wave amplitude death chimera, characterized by a non-excited core. By exploring the phase diagram of different spiral wave chimera dynamics, we find the transition between spiral wave chimeras with an incoherent core and spiral wave amplitude death chimeras with a non-excited core when the coupling phase crosses <span><math><mrow><mi>π</mi><mo>/</mo><mn>2</mn></mrow></math></span>. We also find that large <span><math><mi>a</mi></math></span> (the parameter in the FitzHugh–Nagumo neuron) favors the spiral wave amplitude death chimera.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115681"},"PeriodicalIF":5.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554526","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}
Pub Date : 2024-10-30DOI: 10.1016/j.chaos.2024.115663
R. Sakthivel , R. Abinandhitha , T. Satheesh , O.M. Kwon
This paper investigates the stabilisation problem for a class of T-S fuzzy chaotic semi-Markov jump systems against parametric uncertainties, actuator faults and external disturbances. The main objective of this study is to develop a fault alarm-based non-fragile mode-dependent hybrid controller mechanism to withstand the actuator faults in the concerned system, wherein the hybrid control design blends both robust and fault-tolerant control schemes. Therein, the fault-alarm system is configured based on the alarm threshold, which aids in the execution of the hybrid controller. Specifically, it allows the controller to be timely alerted, making it switch from a robust to a fault-tolerant controller, that is, robust control oversees when the system functions without fault and fault-tolerant control takes over when the system encounters a fault. From there on, through the consideration of relevant Lyapunov function, a novel set of mode-dependent sufficient criteria that have a linear matrix inequality structure is acquired, which confirms the --dissipativity of the system under study. Following that, the precise design of the robust and fault-tolerant controller is procured by solving the developed sufficient conditions. In the end, the simulation results of Chua’s circuit system are offered to confirm the significance of the theoretical insights acknowledged.
{"title":"Hybrid control design for nonlinear chaotic semi-Markov jump systems via fault alarm approach","authors":"R. Sakthivel , R. Abinandhitha , T. Satheesh , O.M. Kwon","doi":"10.1016/j.chaos.2024.115663","DOIUrl":"10.1016/j.chaos.2024.115663","url":null,"abstract":"<div><div>This paper investigates the stabilisation problem for a class of T-S fuzzy chaotic semi-Markov jump systems against parametric uncertainties, actuator faults and external disturbances. The main objective of this study is to develop a fault alarm-based non-fragile mode-dependent hybrid controller mechanism to withstand the actuator faults in the concerned system, wherein the hybrid control design blends both robust and fault-tolerant control schemes. Therein, the fault-alarm system is configured based on the alarm threshold, which aids in the execution of the hybrid controller. Specifically, it allows the controller to be timely alerted, making it switch from a robust to a fault-tolerant controller, that is, robust control oversees when the system functions without fault and fault-tolerant control takes over when the system encounters a fault. From there on, through the consideration of relevant Lyapunov function, a novel set of mode-dependent sufficient criteria that have a linear matrix inequality structure is acquired, which confirms the <span><math><mrow><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>,</mo><mi>ℨ</mi><mo>)</mo></mrow></math></span>-<span><math><mi>ζ</mi></math></span>-dissipativity of the system under study. Following that, the precise design of the robust and fault-tolerant controller is procured by solving the developed sufficient conditions. In the end, the simulation results of Chua’s circuit system are offered to confirm the significance of the theoretical insights acknowledged.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115663"},"PeriodicalIF":5.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554530","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}
Pub Date : 2024-10-30DOI: 10.1016/j.chaos.2024.115683
Lei Si , Longjie Li , Hongsheng Luo , Zhixin Ma
In recent years, link prediction in multiplex networks has attracted increasing interest of researchers. Multiplex social networks that model different types of social relationships between the same set of entities in separate layers are a special case of multiplex networks. However, most existing methods usually ignore that new links can also be formed through information transmission. Therefore, we propose a novel link prediction method that applies information transmission approach to multiplex social networks in this paper. To begin with, we define a new index and three new ways of information transmission in a multiplex network. In this regard, the similarities of potential links in the target layer are computed based on the total amount of information they transmit each other via fusing information from all layers. At last, the interlayer relevance method is used to weight all layers. To evaluate the prediction performance of the proposed method, extensive experiments are implemented on eight real-world multiplex networks, and the experimental results demonstrate that the proposed method significantly outperforms several competing state-of-the-art methods in most cases.
{"title":"Link prediction in multiplex social networks: An information transmission approach","authors":"Lei Si , Longjie Li , Hongsheng Luo , Zhixin Ma","doi":"10.1016/j.chaos.2024.115683","DOIUrl":"10.1016/j.chaos.2024.115683","url":null,"abstract":"<div><div>In recent years, link prediction in multiplex networks has attracted increasing interest of researchers. Multiplex social networks that model different types of social relationships between the same set of entities in separate layers are a special case of multiplex networks. However, most existing methods usually ignore that new links can also be formed through information transmission. Therefore, we propose a novel link prediction method that applies information transmission approach to multiplex social networks in this paper. To begin with, we define a new index and three new ways of information transmission in a multiplex network. In this regard, the similarities of potential links in the target layer are computed based on the total amount of information they transmit each other via fusing information from all layers. At last, the interlayer relevance method is used to weight all layers. To evaluate the prediction performance of the proposed method, extensive experiments are implemented on eight real-world multiplex networks, and the experimental results demonstrate that the proposed method significantly outperforms several competing state-of-the-art methods in most cases.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115683"},"PeriodicalIF":5.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554533","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}
Pub Date : 2024-10-30DOI: 10.1016/j.chaos.2024.115670
Swapnil Mahadev Dhobale, Shyamal Chatterjee
This paper presents a novel hybrid control algorithm for inducing chaos in a limit cycle oscillator by chaotically varying suitable parameters within the chosen bounds. A discrete chaotic map governs the parameter variation at the predetermined Poincaré section. A cubic polynomial mapping is used to obtain the continuous variation between two consecutive crossings at the Poincaré section. A resonant controller with acceleration feedback is designed to implement the proposed control algorithm in a mechanical system with a single degree of freedom. This controller generates a limit cycle at the desired frequency and amplitude. The next step involves using a modified Pomeau-Manneville (PM) map to achieve the chaotification of the limit cycle, which yields a flat Fast Fourier Transform (FFT) of the response within a given bandwidth. The proposed control strategy not only chaotifies the system but also regulates desired response characteristics, such as amplitude, frequency band, chaoticity and power spectral distributions. This is believed to be the first attempt to control the desired characteristics of chaotic response in the case of continuous-time systems. Experiments with an electromagnetic actuator validate the simulation results.
{"title":"Synthesis of a hybrid control algorithm for chaotifying mechanical systems","authors":"Swapnil Mahadev Dhobale, Shyamal Chatterjee","doi":"10.1016/j.chaos.2024.115670","DOIUrl":"10.1016/j.chaos.2024.115670","url":null,"abstract":"<div><div>This paper presents a novel hybrid control algorithm for inducing chaos in a limit cycle oscillator by chaotically varying suitable parameters within the chosen bounds. A discrete chaotic map governs the parameter variation at the predetermined Poincaré section. A cubic polynomial mapping is used to obtain the continuous variation between two consecutive crossings at the Poincaré section. A resonant controller with acceleration feedback is designed to implement the proposed control algorithm in a mechanical system with a single degree of freedom. This controller generates a limit cycle at the desired frequency and amplitude. The next step involves using a modified Pomeau-Manneville (PM) map to achieve the chaotification of the limit cycle, which yields a flat Fast Fourier Transform (FFT) of the response within a given bandwidth. The proposed control strategy not only chaotifies the system but also regulates desired response characteristics, such as amplitude, frequency band, chaoticity and power spectral distributions. This is believed to be the first attempt to control the desired characteristics of chaotic response in the case of continuous-time systems. Experiments with an electromagnetic actuator validate the simulation results.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115670"},"PeriodicalIF":5.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554525","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}
Pub Date : 2024-10-30DOI: 10.1016/j.chaos.2024.115689
Puneet Rana , Mahanthesh Basavarajappa
This study investigates the phenomenon of penetrative convection in a viscoelastic fluid described by the Navier-Stokes-Kelvin-Voigt (NSKV) model, incorporating internal heat sources and realistic rigid boundary conditions. We examine four distinct space-dependent heat source distributions: constant, linearly increasing, decreasing, and non-uniform across the fluid layer. The Kelvin-Voigt fluid layer is simultaneously heated and salted from the bottom. We employ both linear instability analysis using normal mode technique and nonlinear stability analysis through energy method. The resulting differential eigenvalue systems are treated using the Chebyshev-Spectral-QZ method. Our investigation focuses on the effects of the internal heating parameter, Kelvin-Voigt number, and solute Rayleigh number on the threshold values for convection onset. Our results reveal that internal heat sources destabilize the fluid system, while the salt Rayleigh number contributes to system stabilization. Nonlinear analysis reveals that the total energy of perturbations to the steady-state conduction solutions decays exponentially, and the decay rate is stronger for the Kelvin-Voigt fluid than for Newtonian fluid. Furthermore, the Kelvin-Voigt number acts as a stabilizing factor for the onset of convection, exerting a stabilizing effect on the system. Importantly, the thresholds obtained from linear and nonlinear theories differ in both the presence and absence of internal heat sources, suggesting the existence of a subcritical instability region (SIR). This comprehensive analysis provides new insights into the complex dynamics of penetrative convection in viscoelastic fluids with internal heating.
{"title":"Penetrative convection in Navier–Stokes-Voigt fluid induced by internal heat source","authors":"Puneet Rana , Mahanthesh Basavarajappa","doi":"10.1016/j.chaos.2024.115689","DOIUrl":"10.1016/j.chaos.2024.115689","url":null,"abstract":"<div><div>This study investigates the phenomenon of penetrative convection in a viscoelastic fluid described by the Navier-Stokes-Kelvin-Voigt (NSKV) model, incorporating internal heat sources and realistic rigid boundary conditions. We examine four distinct space-dependent heat source distributions: constant, linearly increasing, decreasing, and non-uniform across the fluid layer. The Kelvin-Voigt fluid layer is simultaneously heated and salted from the bottom. We employ both linear instability analysis using normal mode technique and nonlinear stability analysis through energy method. The resulting differential eigenvalue systems are treated using the Chebyshev-Spectral-QZ method. Our investigation focuses on the effects of the internal heating parameter, Kelvin-Voigt number, and solute Rayleigh number on the threshold values for convection onset. Our results reveal that internal heat sources destabilize the fluid system, while the salt Rayleigh number contributes to system stabilization. Nonlinear analysis reveals that the total energy of perturbations to the steady-state conduction solutions decays exponentially, and the decay rate is stronger for the Kelvin-Voigt fluid than for Newtonian fluid. Furthermore, the Kelvin-Voigt number acts as a stabilizing factor for the onset of convection, exerting a stabilizing effect on the system. Importantly, the thresholds obtained from linear and nonlinear theories differ in both the presence and absence of internal heat sources, suggesting the existence of a subcritical instability region (SIR). This comprehensive analysis provides new insights into the complex dynamics of penetrative convection in viscoelastic fluids with internal heating.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115689"},"PeriodicalIF":5.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554531","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}
Pub Date : 2024-10-30DOI: 10.1016/j.chaos.2024.115682
Waseem Ahmad, Bang Wang
Identifying influential nodes in complex networks through influence diffusion models is a challenging problem that has garnered significant attention in recent years. While many heuristic algorithms have been developed to address this issue, neural models that account for weighted influence remain underexplored. In this paper, we introduce a neural diffusion model (NDM) designed to identify weighted influential nodes in complex networks. Our NDM is trained on small-scale networks and learns to map network structures to the corresponding weighted influence of nodes, leveraging the weighted independent cascade model to provide insights into network dynamics. Specifically, we extract weight-based features from nodes at various scales to capture their local structures. We then employ a neural encoder to incorporate neighborhood information and learn node embeddings by integrating features across different scales into sequential neural units. Finally, a decoding mechanism transforms these node embeddings into estimates of weighted influence. Experimental results on both real-world and synthetic networks demonstrate that our NDM outperforms state-of-the-art techniques, achieving superior prediction performance.
{"title":"A neural diffusion model for identifying influential nodes in complex networks","authors":"Waseem Ahmad, Bang Wang","doi":"10.1016/j.chaos.2024.115682","DOIUrl":"10.1016/j.chaos.2024.115682","url":null,"abstract":"<div><div>Identifying influential nodes in complex networks through influence diffusion models is a challenging problem that has garnered significant attention in recent years. While many heuristic algorithms have been developed to address this issue, neural models that account for weighted influence remain underexplored. In this paper, we introduce a neural diffusion model (NDM) designed to identify weighted influential nodes in complex networks. Our NDM is trained on small-scale networks and learns to map network structures to the corresponding weighted influence of nodes, leveraging the weighted independent cascade model to provide insights into network dynamics. Specifically, we extract weight-based features from nodes at various scales to capture their local structures. We then employ a neural encoder to incorporate neighborhood information and learn node embeddings by integrating features across different scales into sequential neural units. Finally, a decoding mechanism transforms these node embeddings into estimates of weighted influence. Experimental results on both real-world and synthetic networks demonstrate that our NDM outperforms state-of-the-art techniques, achieving superior prediction performance.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115682"},"PeriodicalIF":5.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554528","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}
Pub Date : 2024-10-30DOI: 10.1016/j.chaos.2024.115676
Chengyan Liu , Wangyong Lv , Xinzexu Cheng , Yihao Wen , Xiaofeng Yang
In the game-theoretic model of small-world networks, it is traditionally believed that participants randomly select neighbors to learn from. However, in the era of highly interconnected information, we can regard participants as highly rational individuals who can comprehensively consider the strategies of all their neighbors and adjust their own strategies accordingly to seek the best benefits. From this perspective, we utilize the small-world network model to depict the competitive relationship between participants and propose new strategy updating rules by introducing the Markov transition matrix, aiming to explore the specific impact of the small-world network structure on the cooperation rate of participants. Through simulation analysis, we observe that the behavior of the group tends to evolve towards strategies with higher returns. Among them, the number of neighbors in the network, the initial proportion of cooperative participants, and the potential irrational factor in the updating rules significantly affect the evolution speed of the cooperation rate. It is worth noting that the probability of random reconnection and the number of network nodes have no significant impact on the evolution trend of the cooperation rate. Furthermore, we apply this model to practical scenarios of bidding projects. Combined with a specific analysis of the bidding background, we find that reducing the number of adjacent edges and the initial proportion of cooperative participants are crucial factors in effectively reducing the cooperation rate. This discovery not only provides us with a new perspective to understand cooperative behavior in complex networks, but also offers valuable references for strategy making in actual bidding projects.
{"title":"Evolution of strategies in evolution games on small-world networks and applications","authors":"Chengyan Liu , Wangyong Lv , Xinzexu Cheng , Yihao Wen , Xiaofeng Yang","doi":"10.1016/j.chaos.2024.115676","DOIUrl":"10.1016/j.chaos.2024.115676","url":null,"abstract":"<div><div>In the game-theoretic model of small-world networks, it is traditionally believed that participants randomly select neighbors to learn from. However, in the era of highly interconnected information, we can regard participants as highly rational individuals who can comprehensively consider the strategies of all their neighbors and adjust their own strategies accordingly to seek the best benefits. From this perspective, we utilize the small-world network model to depict the competitive relationship between participants and propose new strategy updating rules by introducing the Markov transition matrix, aiming to explore the specific impact of the small-world network structure on the cooperation rate of participants. Through simulation analysis, we observe that the behavior of the group tends to evolve towards strategies with higher returns. Among them, the number of neighbors in the network, the initial proportion of cooperative participants, and the potential irrational factor in the updating rules significantly affect the evolution speed of the cooperation rate. It is worth noting that the probability of random reconnection and the number of network nodes have no significant impact on the evolution trend of the cooperation rate. Furthermore, we apply this model to practical scenarios of bidding projects. Combined with a specific analysis of the bidding background, we find that reducing the number of adjacent edges and the initial proportion of cooperative participants are crucial factors in effectively reducing the cooperation rate. This discovery not only provides us with a new perspective to understand cooperative behavior in complex networks, but also offers valuable references for strategy making in actual bidding projects.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115676"},"PeriodicalIF":5.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554532","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}
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