On the Reducibility for a Class of Quasi-Periodic Hamiltonian Systems with Small Perturbation Parameter
We consider the following real two-dimensional nonlinear analytic quasi-periodic Hamiltonian system x˙=J∇xH, where H(x,t,ε)=(1/2)β(x12+x22)+F(x,t,ε) with β≠0,∂xF(0,t,ε)=O(ε) and ∂xxF(0,t,ε)=O(ε) as ε→0. Without any nondegeneracy condition with respect to ε, we prove that for most of the sufficiently...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/354063 |