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The Liapunov Center Theorem for a Class of Equivariant Hamiltonian Systems

We consider the existence of the periodic solutions in the neighbourhood of equilibria for ∞ equivariant Hamiltonian vector fields. If the equivariant symmetry acts antisymplectically and 2= , we prove that generically purely imaginary eigenvalues are doubly degenerate and the equilibrium is con...

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Bibliographic Details
Main Authors: Jia Li, Yanling Shi
Format: Artigo
Language:Inglês
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/530209
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