Lyapunov Exponents: A Tool to Explore Complex Dynamics - download pdf or read online

By Arkady Pikovsky,Antonio Politi

ISBN-10: 1107030420

ISBN-13: 9781107030428

Lyapunov exponents lie on the center of chaos concept, and are universal in experiences of advanced dynamics. employing a realistic, actual procedure, this self-contained publication offers a entire description of the concept that. starting with the fundamental houses and numerical equipment, it then publications readers via to the latest advances in purposes to advanced platforms. functional algorithms are completely reviewed and their functionality is mentioned, whereas a extensive set of examples illustrate the big variety of power purposes. the outline of assorted numerical and analytical ideas for the computation of Lyapunov exponents bargains an in depth array of instruments for the characterization of phenomena equivalent 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 complicated platforms, 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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