Connections to fixed points and Sil’nikov saddle-focus homoclinic orbits in singularly perturbed systems
We consider a singularly perturbed system depending on two parameters with two (possibly the same) normally hyperbolic centre manifolds. We assume that the unperturbed system has an orbit connecting a hyperbolic fixed point on one centre manifold to a hyperbolic fixed point on the other. Then we p...
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| Datum: | 2008 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2008
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| Schriftenreihe: | Український математичний журнал |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Connections to fixed points and Sil’nikov saddle-focus homoclinic orbits in singularly perturbed systems / F. Battelli, K.J. Palmer // Український математичний журнал. — 2008. — Т. 60, № 1. — С. 28–55. — Бібліогр.: 21 назв. — англ. |