arXiv - PHYS - Adaptation and Self-Organizing Systems最新文献_第8页

A deep classifier of chaos and order in Hamiltonian systems of two degrees of freedom 双自由度哈密顿系统中混沌与有序的深度分类器

arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-02-01 DOI: arxiv-2402.12359

Ippocratis D. Saltas, Georgios Lukes-Gerakopoulos

引用次数: 0

Hypergraph reconstruction from dynamics 从动力学重建超图

arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-01-31 DOI: arxiv-2402.00078

Robin Delabays, Giulia De Pasquale, Florian Dörfler, Yuanzhao Zhang

引用次数: 0

Interplay of synchronization and cortical input in models of brain networks 大脑网络模型中同步与皮层输入的相互作用

arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-01-31 DOI: arxiv-2401.17988

Jakub Sawicki, Eckehard Schöll

引用次数: 0

Distributions of energy, luminosity, duration, and waiting times of gamma-ray burst pulses with known redshift detected by Fermi/GBM 费米/GBM 探测到的已知红移的伽马射线暴脉冲的能量、光度、持续时间和等待时间的分布情况

arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-01-25 DOI: arxiv-2401.14063

R. Maccary, C. Guidorzi, L. Amati, L. Bazzanini, M. Bulla, A. E. Camisasca, L. Ferro, F. Frontera, A. Tsvetkova

引用次数: 0

Disparity Driven Heterogeneous Nucleation in Finite-Size Adaptive Networks 有限规模自适应网络中由差异驱动的异质核化

arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-01-21 DOI: arxiv-2401.11443

Akash Yadav, Jan Fialkowski, Rico Berner, V. K. Chandrasekar, D. V. Senthilkumar

{"title":"Disparity Driven Heterogeneous Nucleation in Finite-Size Adaptive Networks","authors":"Akash Yadav, Jan Fialkowski, Rico Berner, V. K. Chandrasekar, D. V. Senthilkumar","doi":"arxiv-2401.11443","DOIUrl":"https://doi.org/arxiv-2401.11443","url":null,"abstract":"Phase transitions are crucial in shaping the collective dynamics of a broad\u0000spectrum of natural systems across disciplines. Here, we report two distinct\u0000heterogeneous nucleation facilitating single-step and multi-step phase\u0000transitions to global synchronization in a finite-size adaptive network due to\u0000the trade-off between time scale adaptation and coupling strength disparities.\u0000Specifically, small intracluster nucleations coalesce either at the population\u0000interface or within the populations resulting in the two distinct phase\u0000transitions depending on the degree of the disparities. We find that the\u0000coupling strength disparity largely controls the nature of phase transition in\u0000the phase diagram irrespective of the adaptation disparity. We provide a\u0000mesoscopic description for the cluster dynamics using the collective\u0000coordinates approach that brilliantly captures the multicluster dynamics among\u0000the populations leading to distinct phase transitions. Further, we also deduce\u0000the upper bound for the coupling strength for the existence of two\u0000intraclusters explicitly in terms of adaptation and coupling strength\u0000disparities. These insights may have implications across domains ranging from\u0000neurological disorders to segregation dynamics in social networks.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"207 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139556277","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Multifractal-spectral features enhance classification of anomalous diffusion 多分形光谱特征增强了异常扩散的分类能力

arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-01-15 DOI: arxiv-2401.07646

Henrik Seckler, Ralf Metzler, Damian G. Kelty-Stephen, Madhur Mangalam

{"title":"Multifractal-spectral features enhance classification of anomalous diffusion","authors":"Henrik Seckler, Ralf Metzler, Damian G. Kelty-Stephen, Madhur Mangalam","doi":"arxiv-2401.07646","DOIUrl":"https://doi.org/arxiv-2401.07646","url":null,"abstract":"Anomalous diffusion processes pose a unique challenge in classification and\u0000characterization. Previously (Mangalam et al., 2023, Physical Review Research\u00005, 023144), we established a framework for understanding anomalous diffusion\u0000using multifractal formalism. The present study delves into the potential of\u0000multifractal spectral features for effectively distinguishing anomalous\u0000diffusion trajectories from five widely used models: fractional Brownian\u0000motion, scaled Brownian motion, continuous time random walk, annealed transient\u0000time motion, and L'evy walk. To accomplish this, we generate extensive\u0000datasets comprising $10^6$ trajectories from these five anomalous diffusion\u0000models and extract multiple multifractal spectra from each trajectory. Our\u0000investigation entails a thorough analysis of neural network performance,\u0000encompassing features derived from varying numbers of spectra. Furthermore, we\u0000explore the integration of multifractal spectra into traditional feature\u0000datasets, enabling us to assess their impact comprehensively. To ensure a\u0000statistically meaningful comparison, we categorize features into concept groups\u0000and train neural networks using features from each designated group. Notably,\u0000several feature groups demonstrate similar levels of accuracy, with the highest\u0000performance observed in groups utilizing moving-window characteristics and\u0000$p$-variation features. Multifractal spectral features, particularly those\u0000derived from three spectra involving different timescales and cutoffs, closely\u0000follow, highlighting their robust discriminatory potential. Remarkably, a\u0000neural network exclusively trained on features from a single multifractal\u0000spectrum exhibits commendable performance, surpassing other feature groups. Our\u0000findings underscore the diverse and potent efficacy of multifractal spectral\u0000features in enhancing classification of anomalous diffusion.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"25 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139483018","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Half-Century Research Footpath in Statistical Physics 统计物理学半个世纪的研究之路

arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-01-11 DOI: arxiv-2401.06181

Alberto RobledoInstituto de Física, Universidad Nacional Autónoma de México, Carlos VelardeInstituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México

{"title":"A Half-Century Research Footpath in Statistical Physics","authors":"Alberto RobledoInstituto de Física, Universidad Nacional Autónoma de México, Carlos VelardeInstituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México","doi":"arxiv-2401.06181","DOIUrl":"https://doi.org/arxiv-2401.06181","url":null,"abstract":"We give an abridged account of a continued string of studies in condensed\u0000matter physics and in complex systems that span five decades. We provide links\u0000to access abstracts and full texts of a selected list of publications. The\u0000studies were carried out within a framework of methods and models, some\u0000developed in situ, of stochastic processes, statistical mechanics and nonlinear\u0000dynamics. The topics, techniques and outcomes reflect evolving interests of the\u0000community but also show a particular character that privileges the use of\u0000analogies or unusual viewpoints that unite the studies in distinctive ways. The\u0000studies have been grouped into thirty sets and these, in turn, placed into\u0000three collections according to the main underlying approach: stochastic\u0000processes, density functional theory, and nonlinear dynamics. We discuss the\u0000body of knowledge created by these research lines in relation to theoretical\u0000foundations and spread of subjects. We indicate unsuspected connections\u0000underlying different aspects of these investigations and also point out both\u0000natural and unanticipated perspectives for future developments. Finally, we\u0000refer to our most important and recent contribution: An answer with a firm\u0000basis to the long standing question about the limit of validity of ordinary\u0000statistical mechanics and the pertinence of Tsallis statistics.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139469401","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Multifractal emergent processes: Multiplicative interactions override nonlinear component properties 多分形突发过程：乘法相互作用超越非线性成分特性

arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-01-10 DOI: arxiv-2401.05105

Madhur Mangalam, Damian G Kelty-Stephen

{"title":"Multifractal emergent processes: Multiplicative interactions override nonlinear component properties","authors":"Madhur Mangalam, Damian G Kelty-Stephen","doi":"arxiv-2401.05105","DOIUrl":"https://doi.org/arxiv-2401.05105","url":null,"abstract":"Among the statistical models employed to approximate nonlinear interactions\u0000in biological and psychological processes, one prominent framework is that of\u0000cascades. Despite decades of empirical work using multifractal formalisms, a\u0000fundamental question has persisted: Do the observed nonlinear interactions\u0000across scales owe their origin to multiplicative interactions, or do they\u0000inherently reside within the constituent processes? This study presents the\u0000results of rigorous numerical simulations that demonstrate the supremacy of\u0000multiplicative interactions over the intrinsic nonlinear properties of\u0000component processes. To elucidate this point, we conducted simulations of\u0000cascade time series featuring component processes operating at distinct\u0000timescales, each characterized by one of four properties: multifractal\u0000nonlinearity, multifractal linearity (obtained via the Iterative Amplitude\u0000Adjusted Wavelet Transform of multifractal nonlinearity), phase-randomized\u0000linearity (obtained via the Iterative Amplitude Adjustment Fourier Transform),\u0000and phase- and amplitude-randomized (obtained via shuffling). Our findings\u0000unequivocally establish that the multiplicative interactions among components,\u0000rather than the inherent properties of the component processes themselves,\u0000decisively dictate the multifractal emergent properties. Remarkably, even\u0000component processes exhibiting purely linear traits can generate nonlinear\u0000interactions across scales when these interactions assume a multiplicative\u0000nature. In stark contrast, additivity among component processes inevitably\u0000leads to a linear outcome. These outcomes provide a robust theoretical\u0000underpinning for current interpretations of multifractal nonlinearity, firmly\u0000anchoring its roots in the domain of multiplicative interactions across scales\u0000within biological and psychological processes.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"2 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139421307","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Self-organized bistability on globally coupled higher-order networks 全局耦合高阶网络的自组织双稳态性

arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-01-05 DOI: arxiv-2401.02825

Md Sayeed Anwar, Nikita Frolov, Alexander E. Hramov, Dibakar Ghosh

{"title":"Self-organized bistability on globally coupled higher-order networks","authors":"Md Sayeed Anwar, Nikita Frolov, Alexander E. Hramov, Dibakar Ghosh","doi":"arxiv-2401.02825","DOIUrl":"https://doi.org/arxiv-2401.02825","url":null,"abstract":"Self-organized bistability (SOB) stands as a critical behavior for the\u0000systems delicately adjusting themselves to the brink of bistability,\u0000characterized by a first-order transition. Its essence lies in the inherent\u0000ability of the system to undergo enduring shifts between the coexisting states,\u0000achieved through the self-regulation of a controlling parameter. Recently, SOB\u0000has been established in a scale-free network as a recurrent transition to a\u0000short-living state of global synchronization. Here, we embark on a theoretical\u0000exploration that extends the boundaries of the SOB concept on a higher-order\u0000network (implicitly embedded microscopically within a simplicial complex) while\u0000considering the limitations imposed by coupling constraints. By applying\u0000Ott-Antonsen dimensionality reduction in the thermodynamic limit to the\u0000higher-order network, we derive SOB requirements under coupling limits that are\u0000in good agreement with numerical simulations on systems of finite size. We use\u0000continuous synchronization diagrams and statistical data from spontaneous\u0000synchronized events to demonstrate the crucial role SOB plays in initiating and\u0000terminating temporary synchronized events. We show that under weak coupling\u0000consumption, these spontaneous occurrences closely resemble the statistical\u0000traits of the epileptic brain functioning.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139397082","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Solving a Delay Differential Equation through Fourier Transform 通过傅立叶变换求解延迟微分方程

arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-01-04 DOI: arxiv-2401.02027

Kenta Ohira, Toru Ohira

引用次数: 0