# An Improved Lower Bound on the Number of Limit Cycles Bifurcating from a quintic Hamiltonian Planar Vector Field under quintic Perturbation

• Published 2010 in I. J. Bifurcation and Chaos

#### Abstract

The limit cycle bifurcations of a Z2 equivariant quintic planar Hamiltonian vector field under Z2 equivariant quintic perturbation is studied. We prove that the given system can have at least 27 limit cycles. This is an improved lower bound on the possible number of limit cycles that can bifurcate from a quintic planar Hamiltonian system under quintic perturbation.

DOI: 10.1142/S0218127410025405

### Cite this paper

@article{Johnson2010AnIL, title={An Improved Lower Bound on the Number of Limit Cycles Bifurcating from a quintic Hamiltonian Planar Vector Field under quintic Perturbation}, author={Tomas Johnson and Warwick Tucker}, journal={I. J. Bifurcation and Chaos}, year={2010}, volume={20}, pages={63-70} }