| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4612253 | Journal of Differential Equations | 2007 | 18 Pages |
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 Čech homotopy type of the Lorenz attractor, the shape indexes of the Morse sets and the Morse equation of the decomposition.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
