Periodic orbits near equilibria

Luis Barreira, Jaume Llibre, Claudia Valls

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Resum

Lyapunov,Weinstein, and Moser obtained remarkable theorems giving sufficient conditions for the existence of periodic orbits emanating from an equilibrium point of a differential system with a first integral. Using averaging theory, we establish a similar result for a differential system without assuming the existence of a first integral. Our result can also be interpreted as a kind of special Hopf bifurcation. © 2010 Wiley Periodicals, Inc.
Idioma originalEnglish
Pàgines (de-a)1225-1236
RevistaCommunications on Pure and Applied Mathematics
Volum63
DOIs
Estat de la publicacióPublicada - 1 de set. 2010

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