Renormalization analysis of intermittency in two coupled maps

Details Renormalization analysis of intermittency in two coupled maps Renormalization analysis of intermittency in two coupled maps

1998-07-27

arxiv.org/abs/chao-dyn/9807036v1

Nonlinear Sciences

Chaotic Dynamics

11 pages, RevTeX, 2 eps figures

Scientific paper

10.1142/S0217979299000175

The critical behavior for intermittency is studied in two coupled one-dimensional (1D) maps. We find two fixed maps of an approximate renormalization operator in the space of coupled maps. Each fixed map has a common relavant eigenvaule associated with the scaling of the control parameter of the uncoupled one-dimensional map. However, the relevant ``coupling eigenvalue'' associated with coupling perturbation varies depending on the fixed maps. These renormalization results are also confirmed for a linearly-coupled case.

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