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

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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.

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xi, 161 leaves : ill.

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Albert, Gerald (Gerald Lachian) August 1993.

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  • Albert, Gerald (Gerald Lachian)

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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.

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xi, 161 leaves : ill.

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UNT Theses and Dissertations

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  • August 1993

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  • March 24, 2014, 8:07 p.m.

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  • Feb. 9, 2015, 9:26 a.m.

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Albert, Gerald (Gerald Lachian). Synchronous Chaos, Chaotic Walks, and Characterization of Chaotic States by Lyapunov Spectra, dissertation, August 1993; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc277794/: accessed November 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .