Subexponential instability in one-dimensional maps implies infinite invariant measure

Takuma Akimoto; Yoji Aizawa

doi:10.1063/1.3470091

Subexponential instability in one-dimensional maps implies infinite invariant measure

Takuma Akimoto^*, Yoji Aizawa

^*Corresponding author for this work

Waseda University

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

Abstract

We characterize dynamical instability of weak chaos as subexponential instability. We show that a one-dimensional, conservative, ergodic measure preserving map with subexponential instability has an infinite invariant measure, and then we present a generalized Lyapunov exponent to characterize subexponential instability.

Original language	English
Article number	033110
Journal	Chaos
Volume	20
Issue number	3
DOIs	https://doi.org/10.1063/1.3470091
Publication status	Published - 2010 Jul 13

ASJC Scopus subject areas

Applied Mathematics
Physics and Astronomy(all)
Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.3470091

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title = "Subexponential instability in one-dimensional maps implies infinite invariant measure",

abstract = "We characterize dynamical instability of weak chaos as subexponential instability. We show that a one-dimensional, conservative, ergodic measure preserving map with subexponential instability has an infinite invariant measure, and then we present a generalized Lyapunov exponent to characterize subexponential instability.",

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AU - Aizawa, Yoji

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Subexponential instability in one-dimensional maps implies infinite invariant measure

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