Chaos Solitons & Fractals最新文献

General soliton solutions to the coupled Hirota equation via the Kadomtsev–Petviashvili reduction 通过卡多姆采夫-彼得维亚什维利还原法求解耦合广塔方程的一般孤子解

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-26 DOI: 10.1016/j.chaos.2025.116400

Changyan Shi, Bingyuan Liu, Bao-Feng Feng

{"title":"General soliton solutions to the coupled Hirota equation via the Kadomtsev–Petviashvili reduction","authors":"Changyan Shi, Bingyuan Liu, Bao-Feng Feng","doi":"10.1016/j.chaos.2025.116400","DOIUrl":"10.1016/j.chaos.2025.116400","url":null,"abstract":"<div><div>In this paper, we are concerned with various soliton solutions to the coupled Hirota equation, as well as to the Sasa–Satsuma equation which can be viewed as one reduction case of the coupled Hirota equation. First, we derive bright–bright, dark–dark, and bright–dark soliton solutions of the coupled Hirota equation by using the Kadomtsev–Petviashvili reduction method. Then, we present the bright and dark soliton solutions to the Sasa–Satsuma equation which are expressed by determinants of <span><math><mrow><mi>N</mi><mo>×</mo><mi>N</mi></mrow></math></span> instead of <span><math><mrow><mn>2</mn><mi>N</mi><mo>×</mo><mn>2</mn><mi>N</mi></mrow></math></span> in the literature. The dynamics of first-, second-order solutions are investigated in detail. It is intriguing that, for the SS equation, the bright soliton for <span><math><mrow><mi>N</mi><mo>=</mo><mn>1</mn></mrow></math></span> is also the soliton to the complex mKdV equation while the amplitude and velocity of dark soliton for <span><math><mrow><mi>N</mi><mo>=</mo><mn>1</mn></mrow></math></span> are determined by the background plane wave. For <span><math><mrow><mi>N</mi><mo>=</mo><mn>2</mn></mrow></math></span>, the bright soliton can be classified into three types: oscillating, single-hump, and double-hump ones while the dark soliton can be classified into five types: dark (single-hole), anti-dark, Mexican hat, anti-Mexican hat and double-hole. Moreover, the types of bright solitons for the Sasa–Satsuma equation can be changed due to collision.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116400"},"PeriodicalIF":5.3,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143874007","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

Comparative robustness analysis of quadratic solitons and pure-quartic solitons

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-26 DOI: 10.1016/j.chaos.2025.116506

Xinlin Dai , Yaoyao Qi , Qixing Yu , Chaojian He , Song Yang , Zhiwei Lu

引用次数: 0

A double-edged aspect of basin entropy for predicting biodiversity in spatial rock–paper–scissors games

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-26 DOI: 10.1016/j.chaos.2025.116465

Suhyeon Kim, Junpyo Park

{"title":"A double-edged aspect of basin entropy for predicting biodiversity in spatial rock–paper–scissors games","authors":"Suhyeon Kim, Junpyo Park","doi":"10.1016/j.chaos.2025.116465","DOIUrl":"10.1016/j.chaos.2025.116465","url":null,"abstract":"<div><div>Basin entropy is a useful tool for predicting uncertainty in nonlinear dynamical systems, and it is proposed as a way to present biodiversity in the rock–paper–scissors game in a classic manner. As new interaction can be allowed in the system, such biodiversity can be changed, and the system can present different features. In this paper, we investigate the role of basin entropy in the spatial rock–paper–scissors (RPS) game, where the system allows competition within the same species, which can lead to various biodiversity. From extensive numerical simulations, we found that calculating basin entropy may be ambiguous in identifying biodiversity in the spatial RPS game, even if it plays an important role in the system in a classic manner. As intraspecific competition is induced, it disturbs the collective behaviors of species associated with the coexistence state and leads to the change in the level of basin entropy having various values. Similar phenomena are found by considering the symmetry-breaking of intraspecific competition that leads to diverse survival states. Our findings address that basin entropy can be a candidate to predict biodiversity but not always, and they may provide new insight into basin entropy in a different framework- a double-edged effect.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116465"},"PeriodicalIF":5.3,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873826","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

Homogenization scales in residential segregation through random walkers

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-26 DOI: 10.1016/j.chaos.2025.116433

Victoria Arcón, Inés Caridi

{"title":"Homogenization scales in residential segregation through random walkers","authors":"Victoria Arcón, Inés Caridi","doi":"10.1016/j.chaos.2025.116433","DOIUrl":"10.1016/j.chaos.2025.116433","url":null,"abstract":"<div><div>This paper proposes metrics to characterize and quantify the spatial scale of ethnic-based residential segregation using random walkers on city networks built from census data. We analyze the diversity of encounters experienced by the walkers over time. We provide a probabilistic framework and numerical methods to compute the probability of encountering a certain number of ethnic groups at each time, and use it to define two indices: the homogeneity scope, which represents the time when it becomes more likely or expected to leave the homogeneous area of the starting ethnic group, and the complete diversity scope, the time when it becomes more likely or expected to encounter all ethnic groups. These indices are also generalized to reach specific intermediate levels of diversity. We apply the methodology to lattice toy models and a case study in Rio de Janeiro. Our approach identifies areas and groups of high homogeneity, highlighting opportunities to enhance social interaction through improved connectivity. The proposed framework can be adapted for alternative definitions of city networks, broadening its applicability to various research interests.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116433"},"PeriodicalIF":5.3,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873825","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

Comment on the paper “Role of electroosmotic and Darcy-Forchheimer Law on magnetohydrodynamic Williamson hybrid nanofluid flow over a moving thin needle, Muhammad Nadeem, Admilson T. Franco, Imran Siddique, Yamid J. Garcia-Blanco, Luis H. Quitian-Ardila, Rizwan Khan, Chaos, Solitons and Fractals 192 (2025) 116021”

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-25 DOI: 10.1016/j.chaos.2025.116510

Asterios Pantokratoras

引用次数: 0

Inverse chaotic resonance in scale-free neuronal networks based on synaptic modulation

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-25 DOI: 10.1016/j.chaos.2025.116443

Tugba Palabas

{"title":"Inverse chaotic resonance in scale-free neuronal networks based on synaptic modulation","authors":"Tugba Palabas","doi":"10.1016/j.chaos.2025.116443","DOIUrl":"10.1016/j.chaos.2025.116443","url":null,"abstract":"<div><div>Inverse Chaotic Resonance (ICR) refers to the phenomenon in which the mean firing rate is reduced with an optimal intensity of the chaotic activity. In this study, ICR is numerically investigated by modeling the scale-free network topology of Hodgkin–Huxley neurons coupled electrical, excitatory, and inhibitory chemical synapses. First, it is shown that chaotic signals play an important role in changing the average firing frequency of the network consisting of neurons connected by any synaptic coupling. Then it is expressed that the ICR phenomenon occurs depending on the synaptic strength and that even double ICR behavior can also emerge at two different optimal <span><math><mi>ϵ</mi></math></span> levels in the case of inhibitory synapse. Moreover, ICR can be modulated by a constant stimulus, and this phenomenon covers a wider range of chaotic current densities at a constant current level close to the excitation threshold. In addition, the effects of the synaptic time constant and network inputs on the appearance of the phenomenon are also examined. These extensive numerical results suggest a new perspective on ICR effect is a robust phenomenon that is observed in neuronal networks regardless of their topological structure.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116443"},"PeriodicalIF":5.3,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143869862","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

Research on dynamic modeling and control mechanisms of rumor spread considering high-order interactions and counter-rumor groups

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-25 DOI: 10.1016/j.chaos.2025.116498

Qiao Zhou , Xiaochang Duan , Guang Yu

{"title":"Research on dynamic modeling and control mechanisms of rumor spread considering high-order interactions and counter-rumor groups","authors":"Qiao Zhou , Xiaochang Duan , Guang Yu","doi":"10.1016/j.chaos.2025.116498","DOIUrl":"10.1016/j.chaos.2025.116498","url":null,"abstract":"<div><div>Complex network theory has been widely applied to rumor propagation modeling and optimizing strategies. Nonetheless, most previous studies have been limited to binary interaction-based network topology, failing to differentiate the impact of various information types. This study proposes a dynamic rumor propagation model based on random simple complexes, integrating counter-rumor groups and higher-order interactions among heterogeneous groups. The proposed model establishes a finer-grained classification framework of rumor-exposed populations and information types (original posts and reposts), leveraging Markov Chain Monte Carlo sampling track the time-evolution of heterogeneous group proportions within empirically calibrated parameter ranges. Moreover, the study elucidates the higher-order coupling dynamics among multiple factors, including topological network metrics, debunking response latency, and collective suppression thresholds, with validation via the Weibo dataset. Results reveal that higher-order interactions accelerate rumor propagation speed; topological complexity and the debunking response rate have a dominant impact on the magnitude of rumor spread; whereas the number of initial counter-rumor nodes and global propagation scale constitute secondary contributing factors. In contrast to forwarding fact-checking information, the study reveals that focusing limited official resources on the production of original fact-checking content is more effective in inhibiting the spread of rumors. The finding is consistent with previous empirical studies. This study deepens comprehension of high-order interactions and behavior coupling in rumor and counter-rumor dissemination, providing practical methodological guidance for controlling irrational rumor dissemination.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116498"},"PeriodicalIF":5.3,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873066","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

Threshold dynamics of a stochastic tumor-immune model combined oncolytic virus and chimeric antigen receptor T cell therapies

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-25 DOI: 10.1016/j.chaos.2025.116418

Tong Zhou, Jin Yang, Yuanshun Tan, Zijian Liu

{"title":"Threshold dynamics of a stochastic tumor-immune model combined oncolytic virus and chimeric antigen receptor T cell therapies","authors":"Tong Zhou, Jin Yang, Yuanshun Tan, Zijian Liu","doi":"10.1016/j.chaos.2025.116418","DOIUrl":"10.1016/j.chaos.2025.116418","url":null,"abstract":"<div><div>The combination of chimeric antigen receptor T (CAR-T) cell immunotherapy and oncolytic viruses (OVs) has been identified in preclinical studies as a promising treatment approach for eradicating solid tumors, demonstrating synergistic effects that significantly promote tumor reduction. This paper proposes a stochastic differential equation to describe the combination of OVs and CAR-T cell immunotherapy under the influence of white noise. The existence of a unique global positive solution, stochastic eventually boundedness and permanence of the system are determined. Sufficient conditions for the global attractiveness of the solution are given. Threshold conditions for tumor extinction and persistence are derived and the stationary distribution and ergodicity of the system are examined. Numerical simulations are conducted to validate the model, revealing that an increase in white noise can suppress tumor growth to a certain extent. It is shown that the joint effect between white noise and model parameters determines whether tumor eradication or persistence occurs. It is further demonstrated that enhancing CAR-T cell-induced viral release promotes tumor elimination, although excessive viral release may lead to recurrent instability. The therapy was highly effective in eliminating tumors when both virus-induced lysis intensity and CAR-T cell-induced viral release were high. In contrast, oncolytic virotherapy alone are observed to be less effective than the combined therapy.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116418"},"PeriodicalIF":5.3,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143870666","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

Inferring the Langevin equation with uncertainty via Bayesian neural networks

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-25 DOI: 10.1016/j.chaos.2025.116440

Youngkyoung Bae , Seungwoong Ha , Hawoong Jeong

{"title":"Inferring the Langevin equation with uncertainty via Bayesian neural networks","authors":"Youngkyoung Bae , Seungwoong Ha , Hawoong Jeong","doi":"10.1016/j.chaos.2025.116440","DOIUrl":"10.1016/j.chaos.2025.116440","url":null,"abstract":"<div><div>Pervasive across diverse domains, stochastic systems exhibit fluctuations in processes ranging from molecular dynamics to climate phenomena. The Langevin equation has served as a common mathematical model for studying such systems, enabling predictions of their temporal evolution and analyses of thermodynamic quantities, including absorbed heat, work done on the system, and entropy production. However, inferring the Langevin equation from observed trajectories is a challenging problem, and assessing the uncertainty associated with the inferred equation has yet to be accomplished. In this study, we present a comprehensive framework that employs Bayesian neural networks for inferring Langevin equations in both overdamped and underdamped regimes. Our framework first provides the drift force and diffusion matrix separately and then combines them to construct the Langevin equation. By providing a distribution of predictions instead of a single value, our approach allows us to assess prediction uncertainties, which can help prevent potential misunderstandings and erroneous decisions about the system. We demonstrate the effectiveness of our framework in inferring Langevin equations for various scenarios including a neuron model and microscopic engine, highlighting its versatility and potential impact.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116440"},"PeriodicalIF":5.3,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143869860","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

Evolution of cooperation in spatial public goods games with resource-allocating leaders

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-24 DOI: 10.1016/j.chaos.2025.116496

Ji Quan , Yufan Tao , Xianjia Wang

{"title":"Evolution of cooperation in spatial public goods games with resource-allocating leaders","authors":"Ji Quan , Yufan Tao , Xianjia Wang","doi":"10.1016/j.chaos.2025.116496","DOIUrl":"10.1016/j.chaos.2025.116496","url":null,"abstract":"<div><div>In reality, the unequal distribution of resources and the growing lack of trust have become increasingly prominent issues, making it essential to explore how a well-designed leadership system can enhance teamwork and address these challenges. To explore this topic comprehensively, we introduced leaders with the authority to allocate public resources in a spatial public goods game. We examine how various leader selection mechanisms, levels of authority, and resource allocation strategies influence the evolution of cooperative behavior. By adjusting the weight of reputation in the leader selection process, we compare three selection mechanisms: random selection, selection based on the proportion of reputation, and direct selection of the individual with the highest reputation, and find that greater influence of reputation in the leader selection process consistently leads to higher levels of group cooperation. Furthermore, we assign leaders varying power levels and further analyze the impact of power magnitude on cooperative behavior. Our findings reveal that different leader selection mechanisms correspond to distinct optimal ranges of power, within which the presence of a leader significantly lowers the thresholds for cooperation and stabilizes group cooperation. However, when a leader's power exceeds the optimal range, the excessive concentration of power can hinder cooperative behavior. Finally, by adjusting the proportion of resource allocation, we observe that allocation strategies favoring cooperators effectively improve their survival conditions, suppress free-riding behaviors, and further enhance group cooperation. These findings deepen our understanding of the role of leaders in multiplayer games, particularly regarding their selection mechanisms and magnitude of leader authority, while offering new theoretical insights for addressing dilemmas in multiplayer scenarios.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116496"},"PeriodicalIF":5.3,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143870494","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