Hamiltonian Dynamical Systems

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bibliography
bifurcations
Birkhoff's Normal Forms
Birkhoff’s Normal Forms
Category=PBW
Category=PH
celestial mechanics
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Ergodic Components
Geodesic Flow
Hamiltonian Dynamical Systems
Hamiltonian dynamics
Hamiltonian System
Homoclinic Orbit
Homoclinic Points
Hyperbolic Periodic Orbits
Hyperbolic Periodic Points
hyperbolic systems
Invariant Circle
Invariant Tori
Irrational Rotation Number
KAM Theorem
KAM Theory
Ordinary Differential Equations
Periodic Orbit
Periodic Point
Phase Space
Rotation Number
Semi-major Axis
Smooth Dynamical System
Stochastic Layers
Stochastic Region
Twist Mappings
Unstable Manifold

Product details

  • ISBN 9780852742167
  • Weight: 1247g
  • Dimensions: 174 x 246mm
  • Publication Date: 01 Jan 1987
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Classical mechanics is a subject that is teeming with life. However, most of the interesting results are scattered around in the specialist literature, which means that potential readers may be somewhat discouraged by the effort required to obtain them. Addressing this situation, Hamiltonian Dynamical Systems includes some of the most significant papers in Hamiltonian dynamics published during the last 60 years. The book covers bifurcation of periodic orbits, the break-up of invariant tori, chaotic behavior in hyperbolic systems, and the intricacies of real systems that contain coexisting order and chaos. It begins with an introductory survey of the subjects to help readers appreciate the underlying themes that unite an apparently diverse collection of articles. The book concludes with a selection of papers on applications, including in celestial mechanics, plasma physics, chemistry, accelerator physics, fluid mechanics, and solid state mechanics, and contains an extensive bibliography. The book provides a worthy introduction to the subject for anyone with an undergraduate background in physics or mathematics, and an indispensable reference work for researchers and graduate students interested in any aspect of classical mechanics.
R.S MacKay (Edited by) ,  J.D Meiss (UNIVERSITY OF COLORADO, USA) (Edited by)