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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Abstract

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
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1299

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• Symmetric Hamiltonian Bifurcations. (deposited 31 Oct 2005)
  • Symmetric Hamiltonian Bifurcations. (deposited 12 Aug 2009) [Currently Displayed]

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