A generalization of Hopf's bifurcation problem

Details A generalization of Hopf's bifurcation problem A generalization of Hopf's bifurcation problem

Feb 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..21..199s&link_type=abstract

(Conference on Mathematical Methods in Celestial Mechanics, 6th, Oberwolfach, West Germany, Aug. 14-19, 1978.) Celestial Mechani

Mathematics

1

Branching (Mathematics), Dissipation, Transformations (Mathematics), Celestial Mechanics, Liapunov Functions

Scientific paper

Hopf's bifurcation problem is generalized, beginning with a study of the behavior of a 2-dimensional, 2 pi-periodic system. The method of averaging (second order procedure, thus constructing a 2 pi-periodic diffeomorphism) is used in this dissipative system. Also applied is the theorem of the existence of invariant tori for dissipative systems, which guarantees a stable and attractive manifold.

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