Intermittent Transition to Chaos in Coupled Maps

Intermittent Transition to Chaos in Coupled Maps

We study the critical behavior associated with intermittency in two coupled one-dimensional maps by using a renormalization method. Two fixed points of a renormalization transformation are found. The relevant "coupling eigenvalue" associated with the coupling perturbation varies, depending on the kinds of fixed points, while the relevant eigenvalue associated with the scaling of the control parameter of the uncoupled one-dimensional map is common to all fixed points. These renormalization results are also confirmed for the dissipative-coupling case.

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