arXiv: Adaptation and Self-Organizing Systems最新文献_第2页

arXiv: Adaptation and Self-Organizing Systems Pub Date : 2019-09-29 DOI: 10.1007/978-94-007-2807-3_2

K. Wiesner, J. Ladyman

引用次数: 20

Multivaluedness Aspects in Self-Organization, Complexity and Computations Investigations by Strong Anticipation 基于强预期的自组织、复杂性和计算研究中的多值性

arXiv: Adaptation and Self-Organizing Systems Pub Date : 2019-07-09 DOI: 10.1007/978-3-319-58996-1_3

A. Makarenko

引用次数: 3

Onset of synchronization in networks of second-order Kuramoto oscillators with delayed coupling: Exact results and application to phase-locked loops 具有延迟耦合的二阶Kuramoto振子网络的同步起始:精确结果及其在锁相环中的应用

arXiv: Adaptation and Self-Organizing Systems Pub Date : 2019-06-06 DOI: 10.1103/PHYSREVRESEARCH.2.023183

D. M'etivier, L. Wetzel, Shamik Gupta

{"title":"Onset of synchronization in networks of second-order Kuramoto oscillators with delayed coupling: Exact results and application to phase-locked loops","authors":"D. M'etivier, L. Wetzel, Shamik Gupta","doi":"10.1103/PHYSREVRESEARCH.2.023183","DOIUrl":"https://doi.org/10.1103/PHYSREVRESEARCH.2.023183","url":null,"abstract":"We consider the inertial Kuramoto model of $N$ globally coupled oscillators characterized by both their phase and angular velocity, in which there is a time delay in the interaction between the oscillators. Besides the academic interest, we show that the model can be related to a network of phase-locked loops widely used in electronic circuits for generating a stable frequency at multiples of an input frequency. We study the model for a generic choice of the natural frequency distribution of the oscillators, to elucidate how a synchronized phase bifurcates from an incoherent phase as the coupling constant between the oscillators is tuned. We show that in contrast to the case with no delay, here the system in the stationary state may exhibit either a subcritical or a supercritical bifurcation between a synchronized and an incoherent phase, which is dictated by the value of the delay present in the interaction and the precise value of inertia of the oscillators. Our theoretical analysis, performed in the limit $N to infty$, is based on an unstable manifold expansion in the vicinity of the bifurcation, which we apply to the kinetic equation satisfied by the single-oscillator distribution function. We check our results by performing direct numerical integration of the dynamics for large $N$, and highlight the subtleties arising from having a finite number of oscillators.","PeriodicalId":139082,"journal":{"name":"arXiv: Adaptation and Self-Organizing Systems","volume":"92 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128597875","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: 3

Temporal self-similar synchronization patterns and scaling in repulsively coupled oscillators 排斥耦合振荡器的时间自相似同步模式和标度

arXiv: Adaptation and Self-Organizing Systems Pub Date : 2017-05-11 DOI: 10.29195/iascs.01.01.0019

D. Labavić, H. Meyer-Ortmanns

引用次数: 0

Sensitive Dependence of Optimal Network Dynamics on Network Structure 最优网络动力学对网络结构的敏感依赖

arXiv: Adaptation and Self-Organizing Systems Pub Date : 2016-11-03 DOI: 10.1103/PhysRevX.7.041044

T. Nishikawa, Jie Sun, A. Motter

{"title":"Sensitive Dependence of Optimal Network Dynamics on Network Structure","authors":"T. Nishikawa, Jie Sun, A. Motter","doi":"10.1103/PhysRevX.7.041044","DOIUrl":"https://doi.org/10.1103/PhysRevX.7.041044","url":null,"abstract":"The relation between network structure and dynamics is determinant for the behavior of complex systems in numerous domains. An important long-standing problem concerns the properties of the networks that optimize the dynamics with respect to a given performance measure. Here we show that such optimization can lead to sensitive dependence of the dynamics on the structure of the network. Specifically, using diffusively coupled systems as examples, we demonstrate that the stability of a dynamical state can exhibit sensitivity to unweighted structural perturbations (i.e., link removals and node additions) for undirected optimal networks and to weighted perturbations (i.e., small changes in link weights) for directed optimal networks. As mechanisms underlying this sensitivity, we identify discontinuous transitions occurring in the complement of undirected optimal networks and the prevalence of eigenvector degeneracy in directed optimal networks. These findings establish a unified characterization of networks optimized for dynamical stability, which we illustrate using Turing instability in activator-inhibitor systems, synchronization in power-grid networks, network diffusion, and several other network processes. Our results suggest that the network structure of a complex system operating near an optimum can potentially be fine-tuned for a significantly enhanced stability compared to what one might expect from simple extrapolation. On the other hand, they also suggest constraints on how close to the optimum the system can be in practice. Finally, the results have potential implications for biophysical networks, which have evolved under the competing pressures of optimizing fitness while remaining robust against perturbations.","PeriodicalId":139082,"journal":{"name":"arXiv: Adaptation and Self-Organizing Systems","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114208185","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: 28

Multistability of Phase-Locking in Equal-Frequency Kuramoto Models on Planar Graphs 平面上等频Kuramoto模型锁相的多重稳定性

arXiv: Adaptation and Self-Organizing Systems Pub Date : 2016-09-08 DOI: 10.1063/1.4978697

R. Delabays, T. Coletta, P. Jacquod

{"title":"Multistability of Phase-Locking in Equal-Frequency Kuramoto Models on Planar Graphs","authors":"R. Delabays, T. Coletta, P. Jacquod","doi":"10.1063/1.4978697","DOIUrl":"https://doi.org/10.1063/1.4978697","url":null,"abstract":"The number $mathcal{N}$ of stable fixed points of locally coupled Kuramoto models depends on the topology of the network on which the model is defined. It has been shown that cycles in meshed networks play a crucial role in determining $mathcal{N}$, because any two different stable fixed points differ by a collection of loop flows on those cycles. Since the number of different loop flows increases with the length of the cycle that carries them, one expects $mathcal{N}$ to be larger in meshed networks with longer cycles. Simultaneously, the existence of more cycles in a network means more freedom to choose the location of loop flows differentiating between two stable fixed points. Therefore, $mathcal{N}$ should also be larger in networks with more cycles. We derive an algebraic upper bound for the number of stable fixed points of the Kuramoto model with identical frequencies, under the assumption that angle differences between connected nodes do not exceed $pi/2$. We obtain $mathcal{N}leqprod_{k=1}^cleft[2cdot{rm Int}(n_k/4)+1right]$, which depends both on the number $c$ of cycles and on the spectrum of their lengths ${n_k}$. We further identify network topologies carrying stable fixed points with angle differences larger than $pi/2$, which leads us to conjecture an upper bound for the number of stable fixed points for Kuramoto models on any planar network. Compared to earlier approaches that give exponential upper bounds in the total number of vertices, our bounds are much lower and therefore much closer to the true number of stable fixed points.","PeriodicalId":139082,"journal":{"name":"arXiv: Adaptation and Self-Organizing Systems","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117124379","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: 33

Spatial averaging of a dissipative particle dynamics model for active suspensions 主动悬架耗散粒子动力学模型的空间平均

arXiv: Adaptation and Self-Organizing Systems Pub Date : 2016-04-17 DOI: 10.1063/1.5024746

A. Panchenko, D. F. Hinz, E. Fried

引用次数: 4

A criterion for timescale decomposition of external inputs for generalized phase reduction of limit-cycle oscillators 极限环振荡器广义减相外部输入的时间尺度分解准则

arXiv: Adaptation and Self-Organizing Systems Pub Date : 2015-09-07 DOI: 10.1587/nolta.6.171

W. Kurebayashi, Sho Shirasaka, H. Nakao

引用次数: 11

Entropy production of entirely diffusional Laplacian transfer and the possible role of fragmentation of the boundaries 完全扩散拉普拉斯转移的熵产生及边界破碎的可能作用

arXiv: Adaptation and Self-Organizing Systems Pub Date : 2015-07-05 DOI: 10.1142/S0218348X15500267

Konstantinos Karamanos, S. Mistakidis, T. Massart, I. Mistakidis

引用次数: 2

Statistical Properties of Car Following: Theory and Driving Simulator Experiments 汽车跟随的统计特性:理论与驾驶模拟器实验

arXiv: Adaptation and Self-Organizing Systems Pub Date : 2015-05-19 DOI: 10.5687/SSS.2015.149

Hiromasa Ando, I. Lubashevsky, A. Zgonnikov, Yoshiaki Saito

引用次数: 4