Book ChapterDOI
Hopf bifurcation with an infinite limiting period
H. I. Freedman
- pp 353-356
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The article was published on 1974-01-01. It has received 1 citations till now. The article focuses on the topics: Bogdanov–Takens bifurcation & Saddle-node bifurcation.read more
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Journal ArticleDOI
The nonbifurcation of periodic solutions when the variational matrix has a zero eigenvalue
H.I Freedman,H.I Freedman +1 more
TL;DR: In this article, it was shown that genetically, although one may expect a bifurcation of stationary solutions, such a partitioning of periodic solutions will not occur, since the variational matrix has at least one zero eigenvalue rather than the usual Hopf assumption of two conjugate pure imaginary eigenvalues.
References
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Journal ArticleDOI
The nonbifurcation of periodic solutions when the variational matrix has a zero eigenvalue
H.I Freedman,H.I Freedman +1 more
TL;DR: In this article, it was shown that genetically, although one may expect a bifurcation of stationary solutions, such a partitioning of periodic solutions will not occur, since the variational matrix has at least one zero eigenvalue rather than the usual Hopf assumption of two conjugate pure imaginary eigenvalues.