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

By Arkady Pikovsky,Antonio Politi

Lyapunov exponents lie on the center of chaos concept, and are everyday in reviews of complicated dynamics. using a realistic, actual method, this self-contained publication presents a complete description of the concept that. starting with the elemental homes and numerical tools, it then publications readers via to the newest advances in functions to complicated platforms. useful algorithms are completely reviewed and their functionality is mentioned, whereas a wide set of examples illustrate the big variety of strength purposes. the outline of assorted numerical and analytical suggestions for the computation of Lyapunov exponents bargains an intensive array of instruments for the characterization of phenomena similar 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 houses of advanced platforms, making it perfect for either graduate scholars and skilled researchers.

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