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Rodríguez Sanjurjo, José Manuel (2007) Global topological properties of the Hopf bifurcation. Journal of Differential Equations, 243 (2). pp. 238-255. ISSN 0022-0396
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Official URL: http://www.sciencedirect.com/science/article/pii/S0022039607001490#
Abstract
We study the homotopical and homological properties of the attractors evolving from a generalized Hopf bifurcation. We consider the Lorenz equations for parameter values near the Hopf bifurcation and study a natural Morse decomposition of the global attractor, calculating the Cech homotopy type of the Lorenz attractor, the shape indexes of the Morse sets and the Morse equation of the decomposition.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Hopf bifurcation; Lorenz equations; Lorenz attractor; Morse equations; Conley index; Cohomological index |
| Subjects: | Sciences > Mathematics > Geometry Sciences > Mathematics > Topology |
| ID Code: | 16783 |
| Deposited On: | 19 Oct 2012 09:29 |
| Last Modified: | 12 Dec 2018 15:13 |
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