Abstract
We consider Hamiltonian systems in 1:1 resonance in the presence of symmetry. We give some new proofs for known results concerning the classification of generic one-parameter deformations of equivariant linear systems and the passing and splitting of eigenvalues. We show that for nonlinear systems in two degrees of freedom the bifurcation
of periodic solutions in the generic passing cases can be linearized. We conclude with several examples.
| Original language | English |
|---|---|
| Pages (from-to) | 547-561 |
| Journal | International Journal of Pure and Applied Mathematics |
| Volume | 53 |
| Issue number | 4 |
| Publication status | Published - 2009 |