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Bifurcation of homoclinics |
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| Authors: | Jacobo Pejsachowicz |
| Affiliation: | Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy |
| Abstract: | We show that homoclinic trajectories of nonautonomous vector fields parametrized by a circle bifurcate from the stationary solution when the asymptotic stable bundles of the linearization at plus and minus infinity are ``twisted' in different ways. |
| Keywords: | Differential equations homoclinics bifurcation index bundle |
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