Analyzing Periodic Saddles in Experimental Strange Attractors
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.
KeywordsPeriodic Orbit Lyapunov Exponent Finite Type Topological Entropy Recurrence Time
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