By Arkady Pikovsky,Antonio Politi

Lyapunov exponents lie on the center of chaos conception, and are frequent in stories of complicated dynamics. employing a practical, actual method, this self-contained e-book offers a entire description of the idea that. starting with the elemental houses and numerical tools, it then publications readers via to the newest advances in functions to advanced structures. sensible algorithms are completely reviewed and their functionality is mentioned, whereas a extensive set of examples illustrate the wide variety of power purposes. the outline of varied numerical and analytical options 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 absolutely discover the dynamical homes of complicated platforms, making it excellent for either graduate scholars and skilled researchers.

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