Subexponential instability implies infinite invariant measure
Statistical Mechanics
2015-05-13 v3 Chaotic Dynamics
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.
Cite
@article{arxiv.0907.0585,
title = {Subexponential instability implies infinite invariant measure},
author = {Takuma Akimoto and Yoji Aizawa},
journal= {arXiv preprint arXiv:0907.0585},
year = {2015}
}
Comments
7 pages, 5 figures