Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1897976 | Physica D: Nonlinear Phenomena | 2007 | 7 Pages |
Abstract
We give a new characterisation of resonance in Hopf bifurcation from relative equilibria in systems with compact symmetry group. This characterisation provides a full geometric explanation of the resonance phenomenon. In addition, we develop techniques based on normal form theory to give a complete solution to the associated bifurcation problem.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
David Chan, Ian Melbourne,