Regular and Chaotic Dynamics /

This book treats nonlinear dynamics in both Hamiltonian and dissipative systems. The emphasis is on the mechanics for generating chaotic motion, methods of calculating the transitions from regular to chaotic motion, and the dynamical and statistical properties of the dynamics when it is chaotic. The...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lichtenberg, A. J.
Otros Autores: Lieberman, M. A.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York, 1992.
Edición:Second edition.
Colección:Applied mathematical sciences (Springer-Verlag New York Inc.) ; 38.
Temas:
Mathematics.
Global analysis (Mathematics)
Mathematics
Mathématiques.
Analyse globale (Mathématiques)
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1 Overview and Basic Concepts
  • 2 Canonical Perturbation Theory
  • 3 Mappings and Linear Stability
  • 4 Transition to Global Stochasticity
  • 5 Stochastic Motion and Diffusion
  • 6 Three or More Degrees of Freedom
  • 7 Bifurcation Phenomena and Transition to Chaos in Dissipative Systems
  • 8 Chaotic Motion in Dissipative Systems
  • Appendix A
  • Applications
  • A.1. Planetary Motion
  • A.2. Accelerators and Beams
  • A.3. Charged Particle Confinement
  • A.4. Charged Particle Heating
  • A.5. Chemical Dynamics
  • A.6. Quantum Systems
  • Author Index.

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