Two-dimensional dissipative maps at chaos threshold: Sensitivity to initial conditions and relaxation dynamics

Abstract

The sensitivity to initial conditions and relaxation dynamics of two-dimensional maps are analyzed at the edge of chaos, along the lines of nonextensive statistical mechanics. We verify the dual nature of the entropic index for the Henon map, one (qsen < 1) related to its sensitivity to initial conditions properties, and the other, graining-dependent (qrel… (More)

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