Geodesic
On a Bifurcation Theorem of Hopf and Friedrichs*
Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 95-102

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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. 
Freedman, H. I. On a Bifurcation Theorem of Hopf and Friedrichs*. Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 95-102. doi: 10.4153/CMB-1977-016-x
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     author = {Freedman, H. I.},
     title = {On a {Bifurcation} {Theorem} of {Hopf} and {Friedrichs*}},
     journal = {Canadian mathematical bulletin},
     pages = {95--102},
     year = {1977},
     volume = {20},
     number = {1},
     doi = {10.4153/CMB-1977-016-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-016-x/}
}
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