Bifurcation of homoclinics
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- by Jacobo Pejsachowicz PDF
- Proc. Amer. Math. Soc. 136 (2008), 111-118 Request permission
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.References
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Additional Information
- Jacobo Pejsachowicz
- Affiliation: Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
- Email: jacobo.pejsachowicz@polito.it
- Received by editor(s): August 3, 2006
- Published electronically: September 27, 2007
- Communicated by: Carmen C. Chicone
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 111-118
- MSC (2000): Primary 34C23, 58E07; Secondary 37G20, 47A53
- DOI: https://doi.org/10.1090/S0002-9939-07-09088-0
- MathSciNet review: 2350395