Persistence of the Hopf bifurcation under singular perturbations
Conference
·
OSTI ID:6761590
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
- Country of Publication:
- United States
- Language:
- English
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