Bifurcation of multi-bump homoclinics in systems with normal and slow variables
Electronic journal of differential equations, Tome 2000 (2000)
Bifurcation of multi-bump homoclinics is studied for a pair of ordinary differential equations with periodic perturbations when the first unperturbed equation has a manifold of homoclinic solutions and the second unperturbed equation is vanishing. Such ordinary differential equations often arise in perturbed autonomous Hamiltonian systems.
Classification : 34C37, 34D10, 37C29
Keywords: homoclinics, averaging, bifurcation
@article{EJDE_2000__2000__a172,
     author = {Fe\v{c}kan,  Michal},
     title = {Bifurcation of multi-bump homoclinics in systems with normal and slow variables},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {0980.34033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a172/}
}
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JO  - Electronic journal of differential equations
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VL  - 2000
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%0 Journal Article
%A Fečkan,  Michal
%T Bifurcation of multi-bump homoclinics in systems with normal and slow variables
%J Electronic journal of differential equations
%D 2000
%V 2000
%U http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a172/
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%F EJDE_2000__2000__a172
Fečkan,  Michal. Bifurcation of multi-bump homoclinics in systems with normal and slow variables. Electronic journal of differential equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a172/