Titlebook: Hamiltonian Dynamical Systems; History, Theory, and H. S. Dumas,K. S. Meyer,D. S. Schmidt Conference proceedings 1995 Springer-Verlag New Y

faultfinder

https://doi.org/10.1007/978-1-4419-9140-9or the relative equilibria or multi-soliton solutions. This new method and related issues are here described in the context of certain classic mechanical systems that are modelled by systems of ordinary differential equations.

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Poincaré Compactification of Hamiltonian Polynomial Vector Fields[CL]). In the Poincaré compactification of some .-body problems the critical points which appear there are extremely degenerate. In this paper we focus our attention on generic properties of arbitrary Hamiltonian polynomial vector fields, especially at infinity.

種屬關(guān)系

A New Proof of Anosov’s Averaging Theorem normal form techniques adapted to a slightly generalized version of the DiPerna-Lions theory of generalized flows for ODEs [5]. By specializing to the case of Hamiltonian vector fields, we obtain an interesting and somewhat surprising result for Hamiltonians of low regularity, as well as a reason for including this article in these proceedings.

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MOCK

Canopy

https://doi.org/10.1007/978-94-009-9666-3 algebraically integrable case this augmentation is most elegantly accomplished by means of the spectral curve of a Lax pair. (We do not assume Lax pairs and associated spectral curves are familiar to the reader.) Unfortunately, Lax pairs admitting useful spectral curves can be difficult to produce.

Arthritis

Lax Pairs in the Henon-Heiles and Related Families algebraically integrable case this augmentation is most elegantly accomplished by means of the spectral curve of a Lax pair. (We do not assume Lax pairs and associated spectral curves are familiar to the reader.) Unfortunately, Lax pairs admitting useful spectral curves can be difficult to produce.

Abutment

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A 1: —1 Semisimple Hamiltonian Hopf Bifurcation in Vortex Dynamicsandidates for the vortex trails observed in experiments. In this note I will sketch a fresh approach to this old problem, which is based mainly on a systematic application of the Principle of Genericity, and Hamiltonian Bifurcation theory, [4], [5], [6], [7].