On a Bifurcation Theorem of Hopf and Friedrichs*-Reference-Cited by-同舟云学术

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On a Bifurcation Theorem of Hopf and Friedrichs*

Published:1977-03-01 Issue:1 Volume:20 Page:95-102
ISSN:0008-4395
Container-title:Canadian Mathematical Bulletin
language:en
Short-container-title:Can. math. bull.

Author:

Freedman H. I.

Abstract

AbstractFor 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.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the application of a numerical algorithm for Hopf bifuraction to the hunting of a wheelset;The Journal of the Australian Mathematical Society. Series B. Applied Mathematics;1984-01

2. Existence of small periodic solutions of ordinary differential equations in ?2;Archiv der Mathematik;1979-12

3. The nonbifurcation of periodic solutions when the variational matrix has a zero eigenvalue;Journal of Mathematical Analysis and Applications;1975-08

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