Detecting Unstable Periodic Orbits in Chaotic Experimental Data

Paul So, Edward Ott, Steven J. Schiff, Daniel T. Kaplan, Tim Sauer, and Celso Grebogi
Phys. Rev. Lett. 76, 4705 – Published 17 June 1996
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Abstract

A new method is proposed for detecting unstable periodic orbits and their linear stability properties from chaotic experimental time series. Illustrative examples are presented for both numerically and experimentally generated time series. The statistical significance of the results is assessed using surrogate data.

  • Received 8 December 1995

DOI:https://doi.org/10.1103/PhysRevLett.76.4705

©1996 American Physical Society

Authors & Affiliations

Paul So1,2, Edward Ott2, Steven J. Schiff1, Daniel T. Kaplan3, Tim Sauer4, and Celso Grebogi2

  • 1Department of Neurosurgery, Children's National Medical Center and the George Washington University, NW, Washington, D.C. 20010
  • 2Institute for Plasma Research, University of Maryland, College Park, Maryland 20742
  • 3Center for Nonlinear Dynamics, McGill University, Montreal, Quebec, Canada H3G 1Y6
  • 4Department of Mathematics, the George Mason University, Fairfax, Virginia 22030

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Vol. 76, Iss. 25 — 17 June 1996

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