Nondegeneracy of hope points emanating from a Z2-symmetry-breaking Takens-Bogdanov point

✍ Scribed by Wei Wu

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 308 KB
• Volume: 6
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/0893-9659(93)90003-6

✦ Synopsis

We consider the Hopf points emanating from Takens-Bogdanov points of non-linear systems with &-symmetry. Conditions for the nondegeneracy of the Hopf points are deduced. While a Hopf point predicts the possibility of a bifurcation from the steady-state solutions to periodic orbits, the nondegeneracy guaranteea the certainty of the biiurcation.