Analyzing Periodic Saddles in Experimental Strange Attractors

  • Daniel P. Lathrop
  • Eric J. Kostelich
Part of the NATO ASI Series book series (NSSB, volume 208)


This paper discusses a way to locate and analyze the periodic orbits in an attractor reconstructed from time series data, and the technique is applied to data from an experiment on the Belousov-Zhabotinskii chemical reaction. The topological entropy of the attractor is estimated by approximating the dynamics with a subshift of finite type. The Lyapunov exponents are computed from the data using a method suggested by Eckmann and Ruelle and agree well with the estimated topological entropy and information dimension.


Periodic Orbit Lyapunov Exponent Finite Type Topological Entropy Recurrence Time 
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Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • Daniel P. Lathrop
    • 1
  • Eric J. Kostelich
    • 1
    • 2
  1. 1.Center for Nonlinear Dynamics and Department of PhysicsUniversity of TexasAustinUSA
  2. 2.Institute for Physical Science and TechnologyUniversity of MarylandCollege ParkUSA

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