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Explosions near
isolated unstable attractors
Konstantin Athanassopoulos |
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Vol. 210 (2003), No. 2, 201–214
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Abstract |
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We describe the set of explosive orbits in the region of attraction of an unstable attractor which is isolated in the sense of C.C. Conley. Sufficient conditions are given for the existence of explosions in certain parts of the region of attraction and for an unstable attractor to have finitely generated integral Alexander-Spanier cohomology groups. Finally, we study the case of singularities that are unstable attractors in flows on the 2-sphere. |
Milestones
Received: 21 July 2000
Revised: 21 May 2001
Published: 1 June 2003
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Authors |
| Konstantin Athanassopoulos | |
| Department of Mathematics University of Crete GR-71409 Iraklion Greece |
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