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Bifurcation of homoclinics
Author(s):
Jacobo
Pejsachowicz
Journal:
Proc. Amer. Math. Soc.
136
(2008),
111-118.
MSC (2000):
Primary 34C23, 58E07;
Secondary 37G20, 47A53
Posted:
September 27, 2007
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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.
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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
DOI:
10.1090/S0002-9939-07-09088-0
PII:
S 0002-9939(07)09088-0
Keywords:
Differential equations,
homoclinics,
bifurcation,
index bundle
Received by editor(s):
August 3, 2006
Posted:
September 27, 2007
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2007,
American Mathematical Society
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