Subexponential instability implies infinite invariant measure

Details Subexponential instability implies infinite invariant measure Subexponential instability implies infinite invariant measure

2009-07-03

arxiv.org/abs/0907.0585v3

Physics

Condensed Matter

Statistical Mechanics

7 pages, 5 figures

Scientific paper

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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