Deterministic Nonlinear Systems A Short Course /

This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Anishchenko, Vadim S. (Autor), Vadivasova, Tatyana E. (Autor), Strelkova, Galina I. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Springer Series in Synergetics,
Temas:
Nonlinear Optics.
Physics.
Multibody systems.
Vibration.
Mechanics, Applied.
Mathematical physics.
Classical and Continuum Physics.
Multibody Systems and Mechanical Vibrations.
Mathematical Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • From the Contents: Part I Dynamical Systems
  • Stability of Dynamical Systems
  • Linear Approach
  • Bifurcations of Dynamical Systems
  • Dynamical Systems With One Degree of Freedom
  • 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
  • The Anishchenko-Astakhov Oscillator of Chaotic Self-Sustained Oscillations
  • Quasiperiodic Oscillator with Two Independent Frequencies
  • Synchronization of Periodic Self-Sustained Oscillations
  • Synchronization of Two-Frequency Self-Sustained Oscillations.-Synchronization of Chaotic Oscillations
  • References.

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