Collective motions in globally coupled tent maps with stochastic updating

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.

6 pages including 5 figures

Cited by in corpus (4)

• Effects of microscopic disorder on the collective dynamics of globally coupled maps
• Power law in random multiplicative processes with spatio-temporal correlated multipliers
• Analytical Solution of Metapopulation Dynamics in Stochastic Environment
• Inter-Intra Molecular Dynamics as an Iterated Function System