Chaos最新文献 - Book学术

Cross-diffusion waves by cellular automata modeling: Pattern formation in porous media.

IF 2.7 2区数学

Chaos Pub Date : 2025-01-01 DOI: 10.1063/5.0233077

Zhennan Zhu, Klaus Regenauer-Lieb, Manman Hu

{"title":"Cross-diffusion waves by cellular automata modeling: Pattern formation in porous media.","authors":"Zhennan Zhu, Klaus Regenauer-Lieb, Manman Hu","doi":"10.1063/5.0233077","DOIUrl":"https://doi.org/10.1063/5.0233077","url":null,"abstract":"Porous earth materials exhibit large-scale deformation patterns, such as deformation bands, which emerge from complex small-scale interactions. This paper introduces a cross-diffusion framework designed to capture these multiscale, multiphysics phenomena, inspired by the study of multi-species chemical systems. A microphysics-enriched continuum approach is developed to accurately predict the formation and evolution of these patterns. Utilizing a cellular automata algorithm for discretizing the porous network structure, the proposed framework achieves substantial computational efficiency in simulating the pattern formation process. This study focuses particularly on a dynamic regime termed \"cross-diffusion wave,\" an instability in porous media where cross-diffusion plays a significant role-a phenomenon experimentally observed in materials like dry snow. The findings demonstrate that external thermodynamic forces can initiate pattern formation in cross-coupled dynamic systems, with the propagation speed of deformation bands primarily governed by cross-diffusion and a specific cross-reaction coefficient. Owing to the universality of thermodynamic force-flux relationships, this study sheds light on a generic framework for pattern formation in cross-coupled multi-constituent reactive systems.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143022432","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

A hybrid dual-branch model with recurrence plots and transposed transformer for stock trend prediction. 具有递归图和转置变压器的混合双分支模型用于股票走势预测。

IF 2.7 2区数学

Chaos Pub Date : 2025-01-01 DOI: 10.1063/5.0233275

Jingyu Su, Haoyu Li, Ruiqi Wang, Wei Guo, Yushi Hao, Jürgen Kurths, Zhongke Gao

{"title":"A hybrid dual-branch model with recurrence plots and transposed transformer for stock trend prediction.","authors":"Jingyu Su, Haoyu Li, Ruiqi Wang, Wei Guo, Yushi Hao, Jürgen Kurths, Zhongke Gao","doi":"10.1063/5.0233275","DOIUrl":"https://doi.org/10.1063/5.0233275","url":null,"abstract":"Stock trend prediction is a significant challenge due to the inherent uncertainty and complexity of stock market time series. In this study, we introduce an innovative dual-branch network model designed to effectively address this challenge. The first branch constructs recurrence plots (RPs) to capture the nonlinear relationships between time points from historical closing price sequences and computes the corresponding recurrence quantifification analysis measures. The second branch integrates transposed transformers to identify subtle interconnections within the multivariate time series derived from stocks. Features extracted from both branches are concatenated and fed into a fully connected layer for binary classification, determining whether the stock price will rise or fall the next day. Our experimental results based on historical data from seven randomly selected stocks demonstrate that our proposed dual-branch model achieves superior accuracy (ACC) and F1-score compared to traditional machine learning and deep learning approaches. These findings underscore the efficacy of combining RPs with deep learning models to enhance stock trend prediction, offering considerable potential for refining decision-making in financial markets and investment strategies.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142962002","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

Clustering time-evolving networks using the spatiotemporal graph Laplacian. 基于时空图拉普拉斯的时变网络聚类。

IF 2.7 2区数学

Chaos Pub Date : 2025-01-01 DOI: 10.1063/5.0228419

Maia Trower, Natasa Djurdjevac Conrad, Stefan Klus

引用次数: 0

The applicability limits of the lowest-order substitute model for a cantilever beam system hard-impacting a moving base. 硬冲击运动基座的悬臂梁系统的最低阶替代模型的适用范围。

IF 2.7 2区数学

Chaos Pub Date : 2025-01-01 DOI: 10.1063/5.0244817

Barbara Blazejczyk-Okolewska

{"title":"The applicability limits of the lowest-order substitute model for a cantilever beam system hard-impacting a moving base.","authors":"Barbara Blazejczyk-Okolewska","doi":"10.1063/5.0244817","DOIUrl":"https://doi.org/10.1063/5.0244817","url":null,"abstract":"This paper examines the circumstances under which a one-degree-of-freedom approximate system can be employed to predict the dynamics of a cantilever beam comprising an elastic element with a significant mass and a concentrated mass embedded at its end, impacting a moving rigid base. A reference model of the system was constructed using the finite element method, and an approximate lowest-order model was proposed that could be useful in engineering practice for rapidly ascertaining the dynamics of the system, particularly for predicting both periodic and chaotic motions. The number of finite elements in the reference model was determined based on the calculated values of natural frequencies, which were found to correspond to the values of natural frequencies derived from the application of analytical formulas. The precision of the parameter identification and the outcomes yielded by the substitute model were validated through the calculation of the regions of stable periodic solutions using the analytical Peterka method. Subsequently, the qualitative and quantitative limits of the substitute model's applicability were determined. The quantitative limits were delineated through the utilization of Lyapunov exponents and characteristics associated with the energy dissipation due to impacts and the average number of impacts per excitation period. These characteristics provide a foundation for the introduction of global distance measures of the dynamic behavior of diverse systems within a specified range of the control parameter.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142945593","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

Continuum limit of the adaptive Kuramoto model. 自适应Kuramoto模型的连续统极限。

IF 2.7 2区数学

Chaos Pub Date : 2025-01-01 DOI: 10.1063/5.0226759

Rok Cestnik, Erik A Martens

引用次数: 0

Directed recurrence networks for the analysis of nonlinear and complex dynamical systems. 非线性和复杂动力系统的有向递归网络分析。

IF 2.7 2区数学

Chaos Pub Date : 2025-01-01 DOI: 10.1063/5.0235311

Rémi Delage, Toshihiko Nakata

引用次数: 0

Random walks on scale-free flowers with stochastic resetting. 具有随机重置的无标度花上的随机漫步。