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arxiv: 0907.0585 · v3 · pith:L736ZIMSnew · submitted 2009-07-03 · ❄️ cond-mat.stat-mech · nlin.CD

Subexponential instability implies infinite invariant measure

classification ❄️ cond-mat.stat-mech nlin.CD
keywords instabilitysubexponentialcharacterizedynamicalinfiniteinvariantmeasurechaos
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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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