Lyapunov exponents, singularities, and a riddling bifurcation

Lora Billings; James H. Curry; Eric Phipps

doi:10.1103/PhysRevLett.79.1018

Lyapunov exponents, singularities, and a riddling bifurcation

Lora Billings, James H. Curry, Eric Phipps

Applied Mathematics and Statistics

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

18 Scopus citations

Abstract

There are few examples in dynamical systems theory which lend themselves to exact computations of macroscopic variables of interest. One such variable is the Lyapunov exponent which measures the average attraction of an invariant set. This article presents a family of noninvertible transformations of the plane for which such computations are possible. This model sheds additional insight into the notion of what it can mean for an attracting invariant set to have a riddled basin of attraction.

Original language	English
Pages (from-to)	1018-1021
Number of pages	4
Journal	Physical Review Letters
Volume	79
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevLett.79.1018
State	Published - 1 Jan 1997

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10.1103/PhysRevLett.79.1018

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Lyapunov exponents, singularities, and a riddling bifurcation

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