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Abstract
We are concerned with a planar autonomous Hamiltonian system with a potential possessing a single well of infinite depth at a point X and a unique strict global maximum 0 at a point A. Under a strong force condition around the singularity X, via minimization of an action integral and using a shadowing chain lemma together with simple geometrical arguments, we prove the existence of infinitely many geometrically distinct homoclinic (to A) solutions.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
Journal of Fixed Point Theory and Applications
no. 16,
edition 1-2,
pages 301 - 311,
ISSN: 1661-7738 - Language:
- English
- Publication year:
- 2014
- Bibliographic description:
- Izydorek M., Janczewska J.: Two families of infinitely many homoclinics for singular strong force Hamiltonian systems// Journal of Fixed Point Theory and Applications. -Vol. 16, iss. 1-2 (2014), s.301-311
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s11784-015-0212-9
- Verified by:
- Gdańsk University of Technology
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