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Synchronous Chaos, Chaotic Walks, and Characterization of Chaotic States by Lyapunov SpectraAlbert, Gerald (Gerald Lachian) 08 1900 (has links)
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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