IF 2.7 2区数学

Chaos Pub Date : 2024-11-01 DOI: 10.1063/5.0232416

David G Dritschel, Gregory N Dritschel, Richard K Scott

引用次数: 0

Interactions of localized wave and dynamics analysis in the new generalized stochastic fractional potential-KdV equation. 新广义随机分数势-KdV方程中局部波与动力学分析的相互作用

IF 2.7 2区数学

Chaos Pub Date : 2024-11-01 DOI: 10.1063/5.0234573

Yan Zhu, Chuyu Huang, Shengjie He, Yun Chen, Junjiang Zhong, Junjie Li, Runfa Zhang

{"title":"Interactions of localized wave and dynamics analysis in the new generalized stochastic fractional potential-KdV equation.","authors":"Yan Zhu, Chuyu Huang, Shengjie He, Yun Chen, Junjiang Zhong, Junjie Li, Runfa Zhang","doi":"10.1063/5.0234573","DOIUrl":"https://doi.org/10.1063/5.0234573","url":null,"abstract":"In this paper, we investigate the new generalized stochastic fractional potential-Korteweg-de Vries equation, which describes nonlinear optical solitons and photon propagation in circuits and multicomponent plasmas. Inspired by Kolmogorov-Arnold network and our earlier work, we enhance the improved bilinear neural network method by using a large number of activation functions instead of neurons. This method incorporates the concept of simulating more complicated activation functions with fewer parameters, with more diverse activation functions to generate more complex and rare analytical solutions. On this basis, constraints are introduced into the method, reducing a significant amount of computational workload. We also construct neural network architectures, such as \"2-3-1,\" \"2-2-3-1,\" \"2-3-3-1,\" and \"2-3-2-1\" using this method. Maple software is employed to obtain many exact analytical solutions by selecting appropriate parameters, such as the superposition of double-period lump solutions, lump-rogue wave solutions, and three interaction solutions. The results show that these solutions exhibit more complex waveforms than those obtained by conventional methods, which is of great significance for the electrical systems and multicomponent fluids to which the equation is applied. This novel method shows significant advantages when applied to fractional-order equations and is expected to be increasingly widely used in the study of nonlinear partial differential equations.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":null,"pages":null},"PeriodicalIF":2.7,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142582346","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

Decoding aging and cognitive functioning through spatiotemporal EEG patterns: Introducing spatiotemporal information-based similarity analysis. 通过时空脑电图模式解码衰老和认知功能：引入基于时空信息的相似性分析。

IF 2.7 2区数学

Chaos Pub Date : 2024-11-01 DOI: 10.1063/5.0203249

Wang Wan, Zhilin Gao, Zhongze Gu, Chung-Kang Peng, Xingran Cui

{"title":"Decoding aging and cognitive functioning through spatiotemporal EEG patterns: Introducing spatiotemporal information-based similarity analysis.","authors":"Wang Wan, Zhilin Gao, Zhongze Gu, Chung-Kang Peng, Xingran Cui","doi":"10.1063/5.0203249","DOIUrl":"https://doi.org/10.1063/5.0203249","url":null,"abstract":"Exploring spatiotemporal patterns of high-dimensional electroencephalography (EEG) time series generated from complex brain system is crucial for deciphering aging and cognitive functioning. Analyzing high-dimensional EEG series poses challenges, particularly when employing distance-based methods for spatiotemporal dynamics. Therefore, we proposed an innovative methodology for multi-channel EEG data, termed as Spatiotemporal Information-based Similarity (STIBS) analysis. The core of this method is to first perform state space compression of multi-channel EEG time series using global field power, which can provide insight into the dynamic integration of spatiotemporal patterns between the steady states and non-steady states of brain. Subsequently, we quantify the pairwise differences and non-randomness of spatiotemporal patterns using an information-based similarity analysis. Results demonstrated that this method holds the potential to serve as a distinguishing marker between young and elderly on both pairwise differences and non-randomness indices. Young individuals and those with higher cognitive abilities exhibit more complex macrostructure and non-random spatiotemporal patterns, whereas both aging and cognitive decline lead to more randomized spatiotemporal patterns. We further extended the proposed analytics to brain regions adversarial STIBS (bra-STIBS), highlighting differences between young and elderly, as well as high and low cognitive groups. Furthermore, utilizing the STIBS-based XGBoost model yields superior recognition accuracy in aging (93.05%) and cognitive functioning (74.29%, 64.19%, and 80.28%, respectively, for attention, memory, and compatibility performance recognition). STIBS-based methodology not only contributes to the ongoing exploration of neurobiological changes in aging but also provides a powerful tool for characterizing the spatiotemporal nonlinear dynamics of the brain and their implications for cognitive functioning.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":null,"pages":null},"PeriodicalIF":2.7,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142603075","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

Two-parameter dynamics and multistability of a non-smooth railway wheelset system with dry friction damping. 带干摩擦阻尼的非光滑铁路轮对系统的双参数动力学和多稳定性。

IF 2.7 2区数学

Chaos Pub Date : 2024-11-01 DOI: 10.1063/5.0231126

Pengcheng Miao, Denghui Li, Yuan Yue

{"title":"Two-parameter dynamics and multistability of a non-smooth railway wheelset system with dry friction damping.","authors":"Pengcheng Miao, Denghui Li, Yuan Yue","doi":"10.1063/5.0231126","DOIUrl":"https://doi.org/10.1063/5.0231126","url":null,"abstract":"A deep understanding of non-smooth dynamics of vehicle systems, particularly with dry friction damping offer valuable insights into the design and optimization of railway vehicle systems, ultimately enhancing the safety and reliability of railway operations. In this paper, the two-parameter dynamics of a non-smooth railway wheelset system incorporating dry friction damping are investigated. The effect of the crucial parameters on the complexity of the evolution process is comprehensively exposed by identifying different dynamic responses in the two-parameter plane. In addition, the multistability and the various routes transition to chaos for the system are also discussed. It is found that dry friction induces highly complex dynamics in the system, encompassing a range of behaviors such as periodic, quasi-periodic, and chaotic motions. These intricate dynamics are a direct result of the interplay between multiple parameters, such as speed and damping coefficients, which are critical in determining the system's stability and performance. The presence of multistability further complicates the system, resulting in unpredictable transitions between different motion states.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":null,"pages":null},"PeriodicalIF":2.7,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142582404","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

Chaotic dynamics and optimal therapeutic strategies for Caputo fractional tumor immune model in combination therapy. 卡普托分数肿瘤免疫模型在联合治疗中的混沌动力学和最佳治疗策略。

IF 2.7 2区数学

Chaos Pub Date : 2024-11-01 DOI: 10.1063/5.0224717

Jia Li, Xuewen Tan, Wanqin Wu, Xinzhi Liu

{"title":"Chaotic dynamics and optimal therapeutic strategies for Caputo fractional tumor immune model in combination therapy.","authors":"Jia Li, Xuewen Tan, Wanqin Wu, Xinzhi Liu","doi":"10.1063/5.0224717","DOIUrl":"10.1063/5.0224717","url":null,"abstract":"In this paper, a Caputo fractional tumor immune model of combination therapy is established. First, the stability and biological significance of each equilibrium point are analyzed, and it is demonstrated that chaos may arise under specific conditions. Combined with the mathematical definition of Caputo fractional differentiation (CFD), it is found that there is a high correlation between the chaotic phenomenon of the patient's condition and the sensitivity of the patient to the change in the state of the day. The bifurcation threshold of each parameter is determined through numerical simulation, and the Hopf bifurcation of direct competition coefficient and inhibition coefficient between tumor cells and host healthy cells is elaborated upon in detail. Subsequently, a novel method combining optimal control theory with the particle swarm optimization (PSO) algorithm is proposed for the optimal control of the tumor immune model in combination therapy. Finally, the Adams-Bashforth-Moulton (ABM) prediction correction method is utilized in numerical simulations which demonstrate that the introduction of the CFD alters the model dynamics. Furthermore, these results indicate that fractional calculus can effectively be applied to tumor immune models better to elucidate complex chaotic dynamics of tumor cell evolution. Concurrently, the PSO can be successfully integrated with optimal control theory to address optimization challenges in cancer treatment.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":null,"pages":null},"PeriodicalIF":2.7,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142582388","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

Economical-epidemiological analysis of the coffee trees rust pandemic. 咖啡树锈病大流行的经济流行病学分析。

IF 2.7 2区数学

Chaos Pub Date : 2024-11-01 DOI: 10.1063/5.0221945

Teddy Lazebnik, Ariel Rosenfeld, Labib Shami

{"title":"Economical-epidemiological analysis of the coffee trees rust pandemic.","authors":"Teddy Lazebnik, Ariel Rosenfeld, Labib Shami","doi":"10.1063/5.0221945","DOIUrl":"10.1063/5.0221945","url":null,"abstract":"Coffee leaf rust is a prevalent botanical disease that causes a worldwide reduction in coffee supply and its quality, leading to immense economic losses. While several pandemic intervention policies (PIPs) for tackling this rust pandemic are commercially available, they seem to provide only partial epidemiological relief for farmers. In this work, we develop a high-resolution spatiotemporal economical-epidemiological model, extending the Susceptible-Infected-Removed model, that captures the rust pandemic's spread in coffee tree farms and its associated economic impact. Through extensive simulations for the case of Colombia, a country that consists mostly of small-size coffee farms and is the second-largest coffee producer in the world, our results show that it is economically impractical to sustain any profit without directly tackling the rust pandemic. Furthermore, even in the hypothetical case where farmers perfectly know their farm's epidemiological state and the weather in advance, any rust pandemic-related efforts can only amount to a limited profit of roughly 4% on investment. In the more realistic case, any rust pandemic-related efforts are expected to result in economic losses, indicating that major disturbances in the coffee market are anticipated.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":null,"pages":null},"PeriodicalIF":2.7,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142582392","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

Shrimp-shaped structure and period-bubbling route to chaos in a one-dimensional economic model. 一维经济模型中的虾形结构和周期气泡通向混沌的途径。

IF 2.7 2区数学

Chaos Pub Date : 2024-10-01 DOI: 10.1063/5.0226934

Ruma Kumbhakar, Sarbari Karmakar, Nikhil Pal, Jürgen Kurths

引用次数: 0

Impact of diffusion on synchronization pattern of epidemics in non-identical meta-population networks. 扩散对非相同元人群网络中流行病同步模式的影响。

IF 2.7 2区数学

Chaos Pub Date : 2024-10-01 DOI: 10.1063/5.0222358

Anika Roy, Ujjwal Shekhar, Aditi Bose, Subrata Ghosh, Santosh Nannuru, Syamal Kumar Dana, Chittaranjan Hens

引用次数: 0

Third party interventions promote cooperation on the interdependent networks: A perspective based on prospect theory. 第三方干预促进相互依存网络上的合作：基于前景理论的视角。

IF 2.7 2区数学

Chaos Pub Date : 2024-10-01 DOI: 10.1063/5.0232207

Yu'e Wu, Zhiqiang Li, Zeyun Liu, Bowei Cui, An'ran Yin

{"title":"Third party interventions promote cooperation on the interdependent networks: A perspective based on prospect theory.","authors":"Yu'e Wu, Zhiqiang Li, Zeyun Liu, Bowei Cui, An'ran Yin","doi":"10.1063/5.0232207","DOIUrl":"https://doi.org/10.1063/5.0232207","url":null,"abstract":"Third-party intervention is a beneficial means to alleviate conflicts and promote cooperation among disputants. The decision-making of disputants is closely related to the intensity of the impact of third-party intervention on their profits. Actually, disputants often decide whether to adopt cooperative strategies based on their own perceived rather than actual gains or losses brought about by third-party intervention. We, therefore, introduce prospect theory to explore the formation and maintenance of cooperation in a system composed of third parties and disputants, which, respectively, constitute two sub-networks of the interdependent networks. Both interveners and disputants participate in a prisoner's dilemma game, and the third-party intervener will pay a certain price to impose certain punishments on the defectors of the disputed layer. The simulation results show that the introduction of third-party intervention based on the prospect theory alleviates the conflicts in the dispute layer and promotes cooperation among disputants, which indicates that third parties such as governments or organizations should appropriately consider the risk attitudes of disputants when mediating their conflicts. The level of cooperation at the dispute layer is inversely proportional to the intervention cost and directly proportional to the intervention intensity. Our research may shed some new light on the study of the evolution of cooperation under third-party intervention.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":null,"pages":null},"PeriodicalIF":2.7,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142388464","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

Quantifying multifractal anisotropy in two dimensional objects. 量化二维物体的多分形各向异性。

IF 2.7 2区数学

Chaos Pub Date : 2024-10-01 DOI: 10.1063/5.0231211

Rafał Rak, Stanisław Drożdż, Jarosław Kwapień, Paweł Oświęcimka

引用次数: 0

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