Part of the NATO ASI Series book series (NSSB, volume 332)
Geometry of Perturbation Theory
This paper gives a short exposition of the use of normal form theory and reduction to study Hamiltonian systems which are perturbations of the harmonic oscillator.1
KeywordsNormal Form Hamiltonian System Harmonic Oscillator Poisson Bracket Poisson Algebra
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Unable to display preview. Download preview PDF.
- J-C.van der Meer, 1985, The Hamiltonian Hopf bifurcation, Lecture Notes in Mathematics, 1185, (New York: Springer).Google Scholar
- R. Cushman and L. Bates, Global Aspects of Classical Integrable Systems, (to appear).Google Scholar
- R. Abraham and J. Marsden, 1978, Foundations of Mechanics, second edition, (Reading, Mass.: Benjamin-Cummings).Google Scholar
- J. Arms, R. Cushman, and M. Gotay, 1991, “A universal reduction procedure for Hamiltonian group actions”, in: The Geometry of Hamiltonian Systems, ed. T. Ratiu, 31–51, (Boston: Birkhauser).Google Scholar
- R. Churchill, G. Pecelli, and D. Rod, 1978, “A survey of the Henon-Heiles Hamiltonian with applications to related examples”, in: Como Conference Proceedings on Stochasitc Behavior in Classical and Quantum Hamiltonian Systems, eds. G. Casati and J. Ford, 76–136, Springer Lecture Notes in Physics, 93, (New York: Springer Verlag).Google Scholar
© Springer Science+Business Media New York 1994