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 𝐶∞ equivariant Hamiltonian vector fields. If the equivariant symmetry 𝑆 acts antisymplectically and 𝑆2=𝐼, we prove that generically purely imaginary eigenvalues are doubly degenerate and the equilibrium is con...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/530209 |