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On a Bifurcation Theorem of Hopf and Friedrichs*

Published online by Cambridge University Press:  20 November 2018

H. I. Freedman
H. I. Freedman*
Affiliation:
University of Alberta, University of Minnesota
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Abstract

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For the autonomous system x' = F(x,∊), the case where the second Hopf-Friedrichs condition fails is analyzed in that sufficient conditions for bifurcation of non-trivial periodic solutions to occur are given. An application to mathematical ecology is also discussed.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 1 , 01 March 1977 , pp. 95 - 102
Copyright
Copyright © Canadian Mathematical Society 1977

Footnotes

*

Research for this paper was partically supported by the National Research Council of Canada, Grant No. NRC A-4823. This paper was partially written while on Sabbatical leave at the University of Minnesota, Minneapolis.

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