Chaos Systems

Download PDF by Arkady Pikovsky,Antonio Politi: Lyapunov Exponents: A Tool to Explore Complex Dynamics

By Arkady Pikovsky,Antonio Politi

ISBN-10: 1107030420

ISBN-13: 9781107030428

Lyapunov exponents lie on the middle of chaos thought, and are typical in stories of advanced dynamics. using a realistic, actual strategy, this self-contained e-book presents a entire description of the idea that. starting with the elemental houses and numerical equipment, it then courses readers via to the newest advances in purposes to advanced platforms. useful algorithms are completely reviewed and their functionality is mentioned, whereas a huge set of examples illustrate the big variety of power purposes. the outline of varied numerical and analytical ideas for the computation of Lyapunov exponents deals an intensive array of instruments for the characterization of phenomena corresponding to synchronization, vulnerable and worldwide chaos in low and high-dimensional set-ups, and localization. this article equips readers with all of the investigative services had to totally discover the dynamical homes of advanced structures, making it perfect for either graduate scholars and skilled researchers.

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Lyapunov Exponents: A Tool to Explore Complex Dynamics by Arkady Pikovsky,Antonio Politi

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