Deterministic Nonlinear Systems

A Short Course, Springer Series in Synergetics

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Bibliografische Daten
ISBN/EAN: 9783319068701
Sprache: Englisch
Umfang: xiv, 294 S., 170 s/w Illustr., 2 farbige Illustr.,
Auflage: 1. Auflage 2014
Einband: gebundenes Buch

Beschreibung

InhaltsangabePreface.- Part I Dynamical Systems.- Stability of Dynamical Systems.- Linear Approach.- Bifurcations of Dynamical Systems.- Dynamical Systems With One Degree of Freedom.- Systems with Phase Space Dimension N>3, Deterministic Chaos.- From Order to Chaos: Bifurcation Scenarios.- Part II From Order to Chaos: Bifurcation Scenarios.- Robust and Nonrobust Dynamical Systems. Classification of Attractor Types.- Characteristics of Poincare Recurrences.- Fractals in Nonlinear Dynamics.- Anishchenko - Astakhov Oscillator of Chaotic Self-sustained Oscillations.- Oscillator of Two-Frequency Quasiperiodic  Oscillations.- Synchronization of Periodic Self-sustained Oscillations.- Synchronization of Two-frequency Self-sustained Oscillations.- Synchronization of Chaotic Oscillations.- Recommended Literature.

Autorenportrait

Prof. Dr. Vadim S. Anishchenko is Head of Radiophysics and Nonlinear Dynamics Chair and the scientific supervisor of the Laboratory of Nonlinear Dynamics of Saratov State University. He is a specialist in the field of theory of oscillations, statistical radiophysics and nonlinear dynamics and the author of seven scientific monographs, three text-books and of more than 200 journal articles.Prof. Anishchenko is an Honored Man of Sciences of Russia, a corresponding member of Russian Academy of Natural Sciences, and Soros Professor. In 1999 he was elected the recipient of a Humboldt Research Award.

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