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Title: Resonant elliptic equilibria in Hamiltonian systems
Author: Schmidt, Sven
Awarding Body: Loughborough University
Current Institution: Loughborough University
Date of Award: 2008
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The main focus of this thesis is the dynamics of a two-degree of freedom Hamiltonian system near an eliptic equilibrium point in 1 : ±2 resonance, as described by its integrable resonant normal form approximation. After applying singular reduction, the system is studied on the reduced phase space that Kummer called the "orbit manifold". We give a complete description of the critical values of the energy-momentum mapping which than enables us to study the topology of the regular, and more importantly, the singular fibres.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available