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Correction to ``Hamiltonian Hopf Bifurcation with Symmetry''

✍ 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

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πŸ“œ SIMILAR VOLUMES


Hamiltonian Hopf Bifurcation with Symmet
✍ Pascal Chossat; Juan-Pablo Ortega; Tudor S. Ratiu πŸ“‚ Article πŸ“… 2002 πŸ› Springer 🌐 English βš– 243 KB
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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

Stable quasiperiodic solutions in the Ho
✍ J.H.P. Dawes πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 223 KB

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