Actions for Persistence of the Hopf bifurcation under singular perturbations

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Persistence of the Hopf bifurcation under singular perturbations

Author
Abed, E. H.
Published
United States : [publisher not identified], 1984
Springfield, Va.: National Technical Information Service, [approximately 1984]
Physical Description
microfiche : negative ; 11 x 15 cm

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Summary
The purpose of this paper is to study persistence of the Hopf bifurcation under singular perturbations of the associated vector field. Both single parameter and multiparameter singular perturbation problems are considered. In each case, hyperbolicity of an associated fast time system is shown to imply persistence. For single parameter singular perturbation problems, we employ Fenichel's center manifold theorem for singularly perturbed systems (1) to prove regular degeneration of the bifurcated periodic solutions and to study their stability.
Report Numbers
DE84013871; CONF-840576-5
Other Subject(s)
Collection
NTIS collection.
Note
DOE contract number: AC01-82CE76221
OSTI Identifier 6761590
Research organization: Maryland Univ., College Park (USA). Dept. of Electrical Engineering.
View MARC record | catkey: 47343187