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Homoclinic orbits for a class of first order nonperiodic Hamiltonian systems.
- Source :
-
Nonlinear Analysis: Real World Applications . Jun2018, Vol. 41, p34-52. 19p. - Publication Year :
- 2018
-
Abstract
- In this paper we study the existence of infinitely many homoclinic orbits for a class of first order Hamiltonian systems z ̇ = J H z ( t , z ) , where the Hamiltonian function H ( t , z ) is nonperiodic in t and only locally defined near the origin with respect to z . Under some mild conditions on H , we show that these Hamiltonian systems possess a sequence of homoclinic orbits near the origin. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14681218
- Volume :
- 41
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis: Real World Applications
- Publication Type :
- Academic Journal
- Accession number :
- 127387658
- Full Text :
- https://doi.org/10.1016/j.nonrwa.2017.10.002