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Newhouse phenomenon and homoclinic classes

โœ Scribed by YANG, JIAGANG


Book ID
120239534
Publisher
Cambridge University Press
Year
2010
Tongue
English
Weight
677 KB
Volume
31
Category
Article
ISSN
0143-3857

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Homoclinics and Heteroclinics for a Clas
โœ Paolo Caldiroli; Louis Jeanjean ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 584 KB

We consider an autonomous Hamiltonian system u +{V(u)=0 where the potential V : R 2 "[!] ร„ R has a strict global maximum at the origin and a singularity at some point !{0. Under some compactness conditions on V at infinity and around the singularity ! we study the existence of homoclinic orbits to 0