The orbit structure of the Hopf bifurcation problem
β Scribed by Neil Fenichel
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 998 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
This paper is concerned with the precise localization of Hopf bifurcations in various fluid flow problems. This is when a stationary solution loses stability and often becomes periodic in time. The difficulty is to determine the critical Reynolds number where a pair of eigenvalues of the Jacobian ma
## Abstract A simple generalization of the Hopf Bifurcation Theorem for scalar higher order ordinary differential equations is suggested. We study the degenerate case where several roots of the characteristic polynomial cross the imaginary axis at the same point for some value __Ξ»__~0~ of the param