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Bifurcation of homoclinics of Hamiltonian systems
Author(s):
Jacobo
Pejsachowicz
Journal:
Proc. Amer. Math. Soc.
136
(2008),
2055-2065.
MSC (2000):
Primary 37J45, 58E07;
Secondary 34C37, 58J30, 53D12
Posted:
February 20, 2008
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Abstract:
We obtain sufficient conditions for bifurcation of homoclinic trajectories of nonautonomous Hamiltonian vector fields parametrized by a circle, together with estimates for the number of bifurcation points in terms of the Maslov index of the asymptotic stable and unstable bundles of the linearization at the stationary branch.
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
DOI:
10.1090/S0002-9939-08-09342-8
PII:
S 0002-9939(08)09342-8
Keywords:
Bifurcation,
Hamiltonian systems,
homoclinic trajectories,
spectral flow,
Maslov index
Received by editor(s):
February 9, 2007
Posted:
February 20, 2008
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2008,
American Mathematical Society
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