Symmetric Hamiltonian Bifurcations

Buono, Pietro-Luciano and Laurent-Polz, Frederic and Montaldi, James (2005) Symmetric Hamiltonian Bifurcations. In: Geometric Mechanics and Symmetry: The Peyresq Lectures. London Mathematical Society Lecture Notes Series (306). Cambridge University Press, Cambridge, UK (etc), pp. 357-402. ISBN 0-521-53957-9

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The purpose of these notes is to give a brief survey of bifurcation theory of Hamiltonian systems with symmetry; they are a slightly extended version of the 5 lectures given by JM on Hamiltonian Systems with Symmetry at the Peyresq Summer School. Attention is focussed on bifurcations near equilibrium solutions and relative equilibria. [Taken from introduction]

Item Type: Book Section
Additional Information: Updated version with a correction on p.382.
Uncontrolled Keywords: bifurcations, Hamiltonian systems, symmetry, relative equilibria, reduction, stability.
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory
MSC 2010, the AMS's Mathematics Subject Classification > 70 Mechanics of particles and systems
Depositing User: Dr James Montaldi
Date Deposited: 12 Aug 2009
Last Modified: 20 Oct 2017 14:12

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