By Arkady Pikovsky,Antonio Politi

Lyapunov exponents lie on the center of chaos concept, and are accepted in stories of advanced dynamics. utilizing a realistic, actual strategy, this self-contained booklet presents a finished description of the concept that. starting with the fundamental houses and numerical tools, it then publications readers via to the newest advances in purposes to complicated platforms. functional algorithms are completely reviewed and their functionality is mentioned, whereas a wide set of examples illustrate the wide variety of strength functions. the outline of varied numerical and analytical thoughts for the computation of Lyapunov exponents bargains an intensive array of instruments for the characterization of phenomena comparable to synchronization, susceptible and international chaos in low and high-dimensional set-ups, and localization. this article equips readers with the entire investigative services had to absolutely 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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