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2005.12: Symmetric Hamiltonian Bifurcations

2005.12: Pietro-Luciano Buono, Frederic Laurent-Polz and James Montaldi (2005) Symmetric Hamiltonian Bifurcations. In: James Montaldi and Tudor Ratiu, (eds). 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
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Updated version with a correction on p.382.

Uncontrolled Keywords:bifurcations, Hamiltonian systems, symmetry, relative equilibria, reduction, stability.
Subjects:MSC 2000 > 37 Dynamical systems and ergodic theory
MSC 2000 > 70 Mechanics of particles and systems
MIMS number:2005.12
Deposited By:Dr James Montaldi
Deposited On:12 August 2009

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