Persistence of the Hopf bifurcation under singular perturbations

Conference · Tue May 01 00:00:00 EDT 1984

OSTI ID:6761590

Abed, E H

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.

• Research Organization: Maryland Univ., College Park (USA). Dept. of Electrical Engineering
• DOE Contract Number: AC01-82CE76221
• OSTI ID: 6761590
• Report Number(s): CONF-840576-5; ON: DE84013871
• Resource Relation: Conference: International symposium on circuits and systems - ISCAS'84, Montreal, Canada, 7 May 1984; Other Information: Portions are illegible in microfiche products
• Country of Publication: United States
• Language: English

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