Average dynamics of a finite set of coupled phase oscillators

被引：0
|
作者：
Dima, German C. [1 ]
Mindlin, Gabriel B.
机构：
[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Lab Sistemas Dinam, IFIBA, Buenos Aires, DF, Argentina
来源：
CHAOS | 2014年 / 24卷 / 02期
关键词：
D O I：
10.1063/1.4874015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the solutions of a dynamical system describing the average activity of an infinitely large set of driven coupled excitable units. We compared their topological organization with that reconstructed from the numerical integration of finite sets. In this way, we present a strategy to establish the pertinence of approximating the dynamics of finite sets of coupled nonlinear units by the dynamics of its infinitely large surrogate. (C) 2014 AIP Publishing LLC.
引用
收藏
页数：7
相关论文
共 50 条
  • [41] Designing the Dynamics of Globally Coupled Oscillators
    Orosz, Gabor
    Moehlis, Jeff
    Ashwin, Peter
    PROGRESS OF THEORETICAL PHYSICS, 2009, 122 (03): : 611 - 630
  • [42] Coarse graining the dynamics of coupled oscillators
    Moon, SJ
    Ghanem, R
    Kevrekidis, IG
    PHYSICAL REVIEW LETTERS, 2006, 96 (14)
  • [43] The dynamics in globally coupled phase oscillators with multi-peaked frequency distribution
    Liu, Zijia
    Lei, Lixing
    Li, Haihong
    Yang, Junzhong
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 81
  • [44] Reconstruction of two-dimensional phase dynamics from experiments on coupled oscillators
    Blaha, Karen A.
    Pikovsky, Arkady
    Rosenblum, Michael
    Clark, Matthew T.
    Rusin, Craig G.
    Hudson, John L.
    PHYSICAL REVIEW E, 2011, 84 (04)
  • [45] Global attractor and asymptotic dynamics in the Kuramoto model for coupled noisy phase oscillators
    Giacomin, Giambattista
    Pakdaman, Khashayar
    Pellegrin, Xavier
    NONLINEARITY, 2012, 25 (05) : 1247 - 1273
  • [46] Collective dynamics of time-delay-coupled phase oscillators in a frustrated geometry
    Thakur, Bhumika
    Sharma, Devendra
    Sen, Abhijit
    Johnston, George L.
    PHYSICAL REVIEW E, 2017, 95 (01)
  • [47] Dynamics of a pair of coupled nonlinear oscillators
    Morávek, Z
    Fiala, J
    Skála, L
    CZECHOSLOVAK JOURNAL OF PHYSICS, 2002, 52 (07) : 843 - 851
  • [48] DYNAMICS OF 2 COUPLED VANDERPOL OSCILLATORS
    PASTORDIAZ, I
    LOPEZFRAGUAS, A
    PHYSICAL REVIEW E, 1995, 52 (02): : 1480 - 1489
  • [49] THE DYNAMICS OF A CLASS OF COUPLED DIGITAL OSCILLATORS
    WONCHOBA, WE
    LIEBERMAN, MA
    LICHTENBERG, AJ
    NONLINEARITY, 1994, 7 (06) : 1695 - 1715
  • [50] Chaotic dynamics in coupled microwave oscillators
    Ram, RJ
    Sporer, R
    Blank, HR
    York, RA
    IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2000, 48 (11) : 1909 - 1916
12345