On the existence of homoclinic points
Michal Fečkan (1991)
Mathematica Slovaca
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Displaying similar documents to “Higher dimensional Melnikov mappings”
On the existence of homoclinic points
Forcing relations for homoclinic orbits of the Smale horseshoe map.
Collins, Pieter (2005)
Experimental Mathematics
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From transverse heteroclinic cycles to transverse homoclinic orbits
Flaviano Battelli, Michal Fečkan (2005)
Mathematica Slovaca
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Periodic orbits and chain-transitive sets of C1-diffeomorphisms
Sylvain Crovisier (2006)
Publications Mathématiques de l'IHÉS
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We prove that the chain-transitive sets of C-generic diffeomorphisms are approximated in the Hausdorff topology by periodic orbits. This implies that the homoclinic classes are dense among the chain-recurrence classes. This result is a consequence of a global connecting lemma, which allows to build by a C-perturbation an orbit connecting several prescribed points. One deduces a weak shadowing property satisfied by C-generic diffeomorphisms: any pseudo-orbit is approximated in the Hausdorff...
Multiple homoclinic orbits for a class of conservative systems
Antonio Ambrosetti, Vittorio Coti Zelati (1993)
Rendiconti del Seminario Matematico della Università di Padova
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On the orbits of hat-functions
Marek C. Zdun (1976)
Colloquium Mathematicae
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