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

โœ Scribed by Wei Wu


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
308 KB
Volume
6
Category
Article
ISSN
0893-9659

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โœฆ 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.


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