Correction to ``Hamiltonian Hopf Bifurcation with Symmetry''
β Scribed by Pascal Chossat; Juan-Pablo Ortega; Tudor S. Ratiu
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 86 KB
- Volume
- 167
- Category
- Article
- ISSN
- 0003-9527
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
case, the degeneracy is dealt with by splitting the vector field into two parts, one tangent to the group orbit and the other In problems with O(2) symmetry, the Jacobian matrix at nontrivial steady state solutions with D n symmetry always has a zero eigen-normal to it. A standard bifurcation analy
The Hopf bifurcation with D h T 2 symmetry generically has open regions of the normal form coefficient space where 4 w x all branches of periodic solutions bifurcate supercritically but none is stable 1 . In such regions we prove the existence of an attracting set near the origin. A new possibility