Detecting unstable periodic orbits from transient chaotic time series

Mukeshwar Dhamala, Ying-Cheng Lai, Eric Kostelich

Research output: Contribution to journalArticle

29 Scopus citations

Abstract

We address the detection of unstable periodic orbits from experimentally measured transient chaotic time series. In particular, we examine recurrence times of trajectories in the vector space reconstructed from an ensemble of such time series. Numerical experiments demonstrate that this strategy can yield periodic orbits of low periods even when noise is present. We analyze the probability of finding periodic orbits from transient chaotic time series and derive a scaling law for this probability. The scaling law implies that unstable periodic orbits of high periods are practically undetectable from transient chaos.

Original languageEnglish (US)
Pages (from-to)6485-6489
Number of pages5
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume61
Issue number6
DOIs
StatePublished - Jan 1 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Detecting unstable periodic orbits from transient chaotic time series'. Together they form a unique fingerprint.

  • Cite this