Towards complete detection of unstable periodic orbits in chaotic systems

Ruslan L. Davidchack, Ying-Cheng Lai, Aaron Klebanoff, Erik M. Bollt

Research output: Contribution to journalArticlepeer-review

44 Scopus citations


We present a rigorous analysis and numerical evidence indicating that a recently developed methodology for detecting unstable periodic orbits is capable of yielding all orbits up to periods limited only by the computer precision. In particular, we argue that an efficient convergence to every periodic orbit can be achieved and the basin of attraction can be made finite and accessible for typical or particularly chosen initial conditions.

Original languageEnglish (US)
Pages (from-to)99-104
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number1-2
StatePublished - Aug 20 2001

ASJC Scopus subject areas

  • General Physics and Astronomy


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