arXiv - PHYS - Adaptation and Self-Organizing Systems最新文献

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Semantic Information Theory in a feedback-control Kuramoto Model 反馈控制仓本模型中的语义信息论
arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-04-02 DOI: arxiv-2404.02221
Damian R Sowinski, Adam Frank, Gourab Ghoshal
{"title":"Semantic Information Theory in a feedback-control Kuramoto Model","authors":"Damian R Sowinski, Adam Frank, Gourab Ghoshal","doi":"arxiv-2404.02221","DOIUrl":"https://doi.org/arxiv-2404.02221","url":null,"abstract":"Semantic Information Theory (SIT) offers a new approach to evaluating the\u0000information architecture of complex systems. In this study we describe the\u0000steps required to {it operationalize} SIT via its application to dynamical\u0000problems. Our road map has four steps: (1) separating the dynamical system into\u0000agent-environment sub-systems; (2) choosing an appropriate coarse graining and\u0000quantifying correlations; (3) identifying a measure of viability; (4)\u0000implementing a scrambling protocol and measuring the semantic content. We apply\u0000the road map to a model inspired by the neural dynamics of epileptic seizures\u0000whereby an agent (a control process) attempts to maintain an environment (a\u0000base process) in a desynchronized state. The synchronization dynamics is\u0000studied through the well-known Kuramoto model of phase synchronization. Our\u0000application of SIT to this problem reveals new features of both semantic\u0000information and the Kuramoto model. For the latter we find articulating the\u0000correlational structure for agent and environment(the oscillators), allows us\u0000to cast the model in in a novel computational (information theoretic)\u0000perspective, where the agent-environment dynamics can be thought of as\u0000analyzing a communication channel. For the former we find that all the\u0000information in our system is semantic. This is in contrast to previous SIT\u0000studies of foragers in which semantic thresholds where seen above which no\u0000further semantic content was obtained.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"41 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140598310","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
Ghost cycles exhibit increased entrainment and richer dynamics in response to external forcing compared to slow-fast systems 与慢-快系统相比,幽灵循环在响应外部强迫时表现出更强的夹带和更丰富的动力学特征
arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-03-28 DOI: arxiv-2403.19624
Daniel Koch, Aneta Koseska
{"title":"Ghost cycles exhibit increased entrainment and richer dynamics in response to external forcing compared to slow-fast systems","authors":"Daniel Koch, Aneta Koseska","doi":"arxiv-2403.19624","DOIUrl":"https://doi.org/arxiv-2403.19624","url":null,"abstract":"Many natural, living and engineered systems display oscillations that are\u0000characterized by multiple timescales. Typically, such systems are described as\u0000slow-fast systems, where the slow dynamics result from a hyperbolic slow\u0000manifold that guides the movement of the system trajectories. Recently, we have\u0000provided an alternative description in which the slow dynamics result from a\u0000non-hyperbolic and Lyapunov-unstable attracting sets from connected dynamical\u0000ghosts that form a closed orbit (termed ghost cycles). Here we investigate the\u0000response properties of both type of systems to external forcing. Using the\u0000classical Van-der-Pol oscillator and two modified versions of this model that\u0000correspond to a 1-ghost and a 2-ghost cycle, respectively, we find that ghost\u0000cycles are characterized by significant increase especially in the 1:1\u0000entrainment regions as demonstrated by the corresponding Arnold tongues and\u0000exhibit richer dynamics (bursting, chaos) in contrast to the classical\u0000slow-fast system. Phase plane analysis reveals that these features result from\u0000the continuous remodeling of the attractor landscape of the ghost cycles models\u0000characteristic for non-autonomous systems, whereas the attractor landscape of\u0000the corresponding slow-fast system remains qualitatively unaltered. We propose\u0000that systems containing ghost cycles display increased flexibility and\u0000responsiveness to continuous environmental changes.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140323904","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
Cluster formation due to repulsive spanning trees in attractively coupled networks 吸引力耦合网络中排斥性生成树导致的集群形成
arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-03-28 DOI: arxiv-2403.19240
Sayantan Nag Chowdhury, Md Sayeed Anwar, Dibakar Ghosh
{"title":"Cluster formation due to repulsive spanning trees in attractively coupled networks","authors":"Sayantan Nag Chowdhury, Md Sayeed Anwar, Dibakar Ghosh","doi":"arxiv-2403.19240","DOIUrl":"https://doi.org/arxiv-2403.19240","url":null,"abstract":"Ensembles of coupled nonlinear oscillators are a popular paradigm and an\u0000ideal benchmark for analyzing complex collective behaviors. The onset of\u0000cluster synchronization is found to be at the core of various technological and\u0000biological processes. The current literature has investigated cluster\u0000synchronization by focusing mostly on the case of attractive coupling among the\u0000oscillators. However, the case of two coexisting competing interactions is of\u0000practical interest due to their relevance in diverse natural settings,\u0000including neuronal networks consisting of excitatory and inhibitory neurons,\u0000the coevolving social model with voters of opposite opinions, ecological plant\u0000communities with both facilitation and competition, to name a few. In the\u0000present article, we investigate the impact of repulsive spanning trees on\u0000cluster formation within a connected network of attractively coupled limit\u0000cycle oscillators. We successfully predict which nodes belong to each cluster\u0000and the emergent frustration of the connected networks independent of the\u0000particular local dynamics at the network nodes. We also determine local\u0000asymptotic stability of the cluster states using an approach based on the\u0000formulation of a master stability function. We additionally validate the\u0000emergence of solitary states and antisynchronization for some specific choices\u0000of spanning trees and networks.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"49 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140323691","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-organised dynamics beyond scaling of avalanches: Cyclic stress fluctuations in critical sandpiles 超越雪崩规模的自组织动力学:临界砂桩的循环应力波动
arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-03-23 DOI: arxiv-2403.15859
Bosiljka Tadic, Alexander Shapoval, Mikhail Shnirman
{"title":"Self-organised dynamics beyond scaling of avalanches: Cyclic stress fluctuations in critical sandpiles","authors":"Bosiljka Tadic, Alexander Shapoval, Mikhail Shnirman","doi":"arxiv-2403.15859","DOIUrl":"https://doi.org/arxiv-2403.15859","url":null,"abstract":"Recognising changes in collective dynamics in complex systems is essential\u0000for predicting potential events and their development. Possessing intrinsic\u0000attractors with laws associated with scale invariance, self-organised critical\u0000dynamics represent a suitable example for quantitatively studying changes in\u0000collective behaviour. We consider two prototypal models of self-organised\u0000criticality, the sandpile automata with deterministic (Bak-Tang-Wiesenfeld) and\u0000probabilistic (Manna model) dynamical rules, focusing on the nature of stress\u0000fluctuations induced by driving - adding grains during the avalanche\u0000propagation, and dissipation through avalanches that hit the system boundary.\u0000Our analysis of stress evolution time series reveals robust cycles modulated by\u0000collective fluctuations with dissipative avalanches. These modulated cycles are\u0000multifractal within a broad range of time scales. Features of the associated\u0000singularity spectra capture the differences in the dynamic rules behind the\u0000self-organised critical states and their response to the increased driving\u0000rate, altering the process stochasticity and causing a loss of avalanche\u0000scaling. In the related sequences of outflow current, the first return\u0000distributions are found to follow modified laws that describe different\u0000pathways to the gradual loss of cooperative behaviour in these two models. The\u0000spontaneous appearance of cycles is another characteristic of self-organised\u0000criticality. It can also help identify the prominence of self-organisational\u0000phenomenology in an empirical time series when underlying interactions and\u0000driving modes remain hidden.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"515 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140299028","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
Cell Motility in Cancer, Crucial Events, Criticality, and Lévy Walks 癌症中的细胞运动、关键事件、临界性和列维漫步
arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-03-21 DOI: arxiv-2403.14842
Yawer H. Shah, Luigi Palatella, Korosh Mahmoodi, Orazio S. Santonocito, Mariangela Morelli, Gianmarco Ferri, Chiara M. Mazzanti, Paolo Grigolini, Bruce J. West
{"title":"Cell Motility in Cancer, Crucial Events, Criticality, and Lévy Walks","authors":"Yawer H. Shah, Luigi Palatella, Korosh Mahmoodi, Orazio S. Santonocito, Mariangela Morelli, Gianmarco Ferri, Chiara M. Mazzanti, Paolo Grigolini, Bruce J. West","doi":"arxiv-2403.14842","DOIUrl":"https://doi.org/arxiv-2403.14842","url":null,"abstract":"The analysis of glioblastoma (GB) cell locomotion and its modeling inspired\u0000by Levy random walks is presented herein. We study such walks occurring on a\u0000two-dimensional plane where the walk is similar to the motion of a bird flying\u0000with a constant velocity, but with random changes of direction in time. The\u0000intelligence of the bird is signaled by the instantaneous changes of flying\u0000direction, which become invisible in the time series obtained by projecting the\u00002D walk either on the x axis or the y axis. We establish that the projected 1D\u0000time series share the statistical complexity of time series frequently used to\u0000monitor physiological processes, shedding light on the role of crucial events\u0000(CE-s) in pathophysiology. Such CE-s are signified by abrupt changes of flying\u0000direction which are invisible in the 1D physiological time series. We establish\u0000a connection between the complex scaling index delta generated by the CE-s\u0000through mu_{R} = 2 - delta , where mu_{R} is the inverse power law index of\u0000the probability density function of the time interval between consecutive\u0000failures of the process of interest. We argue that the identification of\u0000empirical indices along with their theoretical relations afford important\u0000measures to control cancer.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140303406","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
Network bottlenecks and task structure control the evolution of interpretable learning rules in a foraging agent 网络瓶颈和任务结构控制着觅食机器人可解释学习规则的演化
arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-03-20 DOI: arxiv-2403.13649
Emmanouil Giannakakis, Sina Khajehabdollahi, Anna Levina
{"title":"Network bottlenecks and task structure control the evolution of interpretable learning rules in a foraging agent","authors":"Emmanouil Giannakakis, Sina Khajehabdollahi, Anna Levina","doi":"arxiv-2403.13649","DOIUrl":"https://doi.org/arxiv-2403.13649","url":null,"abstract":"Developing reliable mechanisms for continuous local learning is a central\u0000challenge faced by biological and artificial systems. Yet, how the\u0000environmental factors and structural constraints on the learning network\u0000influence the optimal plasticity mechanisms remains obscure even for simple\u0000settings. To elucidate these dependencies, we study meta-learning via\u0000evolutionary optimization of simple reward-modulated plasticity rules in\u0000embodied agents solving a foraging task. We show that unconstrained\u0000meta-learning leads to the emergence of diverse plasticity rules. However,\u0000regularization and bottlenecks to the model help reduce this variability,\u0000resulting in interpretable rules. Our findings indicate that the meta-learning\u0000of plasticity rules is very sensitive to various parameters, with this\u0000sensitivity possibly reflected in the learning rules found in biological\u0000networks. When included in models, these dependencies can be used to discover\u0000potential objective functions and details of biological learning via\u0000comparisons with experimental observations.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"102 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140202968","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
Interspecific dispersal constraints suppress pattern formation in metacommunities 种间扩散限制抑制了元群落模式的形成
arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-03-19 DOI: arxiv-2403.13098
Patrick Lawton, Ashkaan K. Fahimipour, Kurt E. Anderson
{"title":"Interspecific dispersal constraints suppress pattern formation in metacommunities","authors":"Patrick Lawton, Ashkaan K. Fahimipour, Kurt E. Anderson","doi":"arxiv-2403.13098","DOIUrl":"https://doi.org/arxiv-2403.13098","url":null,"abstract":"Decisions to disperse from a habitat stand out among organismal behaviors as\u0000pivotal drivers of ecosystem dynamics across scales. Encounters with other\u0000species are an important component of adaptive decision-making in dispersal,\u0000resulting in widespread behaviors like tracking resources or avoiding consumers\u0000in space. Despite this, metacommunity models often treat dispersal as a\u0000function of intraspecific density alone. We show, focusing initially on\u0000three-species network motifs, that interspecific dispersal rules generally\u0000drive a transition in metacommunities from homogeneous steady states to\u0000self-organized heterogeneous spatial patterns. However, when ecologically\u0000realistic constraints reflecting adaptive behaviors are imposed -- prey\u0000tracking and predator avoidance -- a pronounced homogenizing effect emerges\u0000where spatial pattern formation is suppressed. We demonstrate this effect for\u0000each motif by computing master stability functions that separate the\u0000contributions of local and spatial interactions to pattern formation. We extend\u0000this result to species rich food webs using a random matrix approach, where we\u0000find that eventually webs become large enough to override the homogenizing\u0000effect of adaptive dispersal behaviors, leading once again to predominately\u0000pattern forming dynamics. Our results emphasize the critical role of\u0000interspecific dispersal rules in shaping spatial patterns across landscapes,\u0000highlighting the need to incorporate adaptive behavioral constraints in efforts\u0000to link local species interactions and metacommunity structure.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140203151","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
Neural Downscaling for Complex Systems: from Large-scale to Small-scale by Neural Operator 复杂系统的神经降尺度:从大规模到小规模的神经运算器
arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-03-18 DOI: arxiv-2403.13016
Pengyu Lai, Jing Wang, Rui Wang, Dewu Yang, Haoqi Fei, Hui Xu
{"title":"Neural Downscaling for Complex Systems: from Large-scale to Small-scale by Neural Operator","authors":"Pengyu Lai, Jing Wang, Rui Wang, Dewu Yang, Haoqi Fei, Hui Xu","doi":"arxiv-2403.13016","DOIUrl":"https://doi.org/arxiv-2403.13016","url":null,"abstract":"Predicting and understanding the chaotic dynamics in complex systems is\u0000essential in various applications. However, conventional approaches, whether\u0000full-scale simulations or small-scale omissions, fail to offer a comprehensive\u0000solution. This instigates exploration into whether modeling or omitting\u0000small-scale dynamics could benefit from the well-captured large-scale dynamics.\u0000In this paper, we introduce a novel methodology called Neural Downscaling (ND),\u0000which integrates neural operator techniques with the principles of inertial\u0000manifold and nonlinear Galerkin theory. ND effectively infers small-scale\u0000dynamics within a complementary subspace from corresponding large-scale\u0000dynamics well-represented in a low-dimensional space. The effectiveness and\u0000generalization of the method are demonstrated on the complex systems governed\u0000by the Kuramoto-Sivashinsky and Navier-Stokes equations. As the first\u0000comprehensive deterministic model targeting small-scale dynamics, ND sheds\u0000light on the intricate spatiotemporal nonlinear dynamics of complex systems,\u0000revealing how small-scale dynamics are intricately linked with and influenced\u0000by large-scale dynamics.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"102 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140203058","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
Single file motion of robot swarms 机器人群的单列运动
arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-03-13 DOI: arxiv-2403.08683
Laciel Alonso-Llanes, Angel Garcimartín, Iker Zuriguel
{"title":"Single file motion of robot swarms","authors":"Laciel Alonso-Llanes, Angel Garcimartín, Iker Zuriguel","doi":"arxiv-2403.08683","DOIUrl":"https://doi.org/arxiv-2403.08683","url":null,"abstract":"We present experimental results on the single file motion of a group of\u0000robots interacting with each other through position sensors. We successfully\u0000replicate the fundamental diagram typical of these systems, with a transition\u0000from free flow to congested traffic as the density of the system increases. In\u0000the latter scenario we also observe the characteristic stop-and-go waves. The\u0000unique advantages of this novel system, such as experimental stability and\u0000repeatability, allow for extended experimental runs, facilitating a\u0000comprehensive statistical analysis of the global dynamics. Above a certain\u0000density, we observe a divergence of the average jam duration and the average\u0000number of robots involved in it. This discovery enables us to precisely\u0000identify another transition: from congested intermittent flow (for intermediate\u0000densities) to a totally congested scenario for high densities. Beyond this\u0000finding, the present work demonstrates the suitability of robot swarms to model\u0000complex behaviors in many particle systems.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140126326","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
Complexified Synchrony 复杂化同步
arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-03-04 DOI: arxiv-2403.02006
Seungjae Lee, Lucas Braun, Frieder Bönisch, Malte Schröder, Moritz Thümler, Marc Timme
{"title":"Complexified Synchrony","authors":"Seungjae Lee, Lucas Braun, Frieder Bönisch, Malte Schröder, Moritz Thümler, Marc Timme","doi":"arxiv-2403.02006","DOIUrl":"https://doi.org/arxiv-2403.02006","url":null,"abstract":"The Kuramoto model and its generalizations have been broadly employed to\u0000characterize and mechanistically understand various collective dynamical\u0000phenomena, especially the emergence of synchrony among coupled oscillators.\u0000Despite almost five decades of research, many questions remain open, in\u0000particular for finite-size systems. Here, we generalize recent work [Phys. Rev.\u0000Lett. 130, 187201 (2023)] on the finite-size Kuramoto model with its state\u0000variables analytically continued to the complex domain and also complexify its\u0000system parameters. Intriguingly, systems of two units with purely imaginary\u0000coupling do not actively synchronize even for arbitrarily large magnitudes of\u0000the coupling strengths, $|K| rightarrow infty$, but exhibit conservative\u0000dynamics with asynchronous rotations or librations for all $|K|$. For generic\u0000complex coupling, both, traditional phase-locked states and asynchronous states\u0000generalize to complex locked states, fixed points off the real subspace that\u0000exist even for arbitrarily weak coupling. We analyze a new collective mode of\u0000rotations exhibiting finite, yet arbitrarily large winding numbers. Numerical\u0000simulations for large networks indicate a novel form of discontinuous phase\u0000transition. We close by pointing to a range of exciting questions for future\u0000research.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"129 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140036583","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
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