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Synchronous Chaos, Chaotic Walks, and Characterization of Chaotic States by Lyapunov Spectra

Four aspects of the dynamics of continuous-time dynamical systems are studied in this work. The relationship between the Lyapunov exponents of the original system and the Lyapunov exponents of induced Poincare maps is examined. The behavior of these Poincare maps as discriminators of chaos from noise is explored, and the possible Poissonian statistics generated at rarely visited surfaces are studied.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc277794
Date08 1900
CreatorsAlbert, Gerald (Gerald Lachian)
ContributorsKowalski, Jacek M., Deering, William D., Renka, Robert J., Mackey, H. J.
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
Formatxi, 161 leaves : ill., Text
RightsPublic, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Albert, Gerald (Gerald Lachian)

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