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Thesis

On the construction of invariant tori and integrable Hamiltonians

Abstract:

The main principle of this thesis is to employ the geometric representation of Hamiltonian dynamics: in a broad sense, we study how to construct, in phase space, geometric structures that are related to a dynamical system. More specifically, we study the problem of constructing phase-space tori that are approximate invariant tori of a given Hamiltonian; also, using the constructed tori, we define an integrable Hamiltonian closely approximating the original one. The methods are generally a...

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Institution:
University of Oxford
Department:
Faculty of Physical Sciences
Role:
Author
Publication date:
1994
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Source identifiers:
603840682
Language:
English
Subjects:
UUID:
uuid:399aa26d-4f86-4100-81e2-ba34b6def947
Local pid:
td:603840682
Deposit date:
2014-04-01

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