Phys. Rev. E 65, 046201 (2002) - Collective motions in globally coupled tent maps with stochastic updating

Collective motions in globally coupled tent maps with stochastic updating

Satoru Morita and Tsuyoshi Chawanya

Phys. Rev. E 65, 046201 – Published 15 March 2002

Abstract

We study a generalization of globally coupled maps, where the elements are updated with probability p. When p is below a threshold $p_{c},$ the collective motion vanishes and the system is the stationary state in the large size limit. We present the linear stability analysis.

Received 13 September 2001

DOI:https://doi.org/10.1103/PhysRevE.65.046201

©2002 American Physical Society

Authors & Affiliations

Satoru Morita^*

Department of Systems Engineering, Shizuoka University, 3-5-1 Jouhoku, Hamamatsu 432-8561, Japan

Tsuyoshi Chawanya

Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka 560-0043, Japan

^*Electronic address: morita@sys.eng.shizuoka.ac.jp

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Issue

Vol. 65, Iss. 4 — April 2002

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