Lyapunov exponents, singularities, and a riddling bifurcation

Lora Billings, James H. Curry, Eric Phipps

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


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 languageEnglish
Pages (from-to)1018-1021
Number of pages4
JournalPhysical Review Letters
Issue number6
StatePublished - 1 Jan 1997


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