Subexponential instability implies infinite invariant measure

2009/07/31 by Takuma Akimoto, Yoji Aizawa · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #nlin.CD

paper · pdf · doi:10.1063/1.3470091

7 pages, 5 figures

arxiv created 2010/05/13 · arxiv updated 2015/05/13

Abstract

We study subexponential instability to characterize a dynamical instability of weak chaos. We show that a dynamical system with subexponential instability has an infinite invariant measure, and then we present the generalized Lyapunov exponent to characterize subexponential instability.

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