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2014 / September Volume 9 No.3
Connecting Orbits for Subharmonic Solutions in Time Reversible Hamiltonian Systems
Published Date
2014 / September
Title
Connecting Orbits for Subharmonic Solutions in Time Reversible Hamiltonian Systems
Author
Chao-Nien Chen, Shyuh-yaur Tzeng
Keyword
Hamiltonian system, homoclinic, heteroclinic, calculus of variations.
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Pagination
431-450
Abstract
This note deals with subharmonic solutions of time reversible Hamiltonian systems. Based on variational approach, a large number of subharmonic solutions can be found out by using penalization arguments. As a further consequence, there exist connecting orbits joining with pairs of subharmonic solutions which have different primitive periods.
AMS Subject
Classification
34C37, 49M30, 58E99, 58F09.
Received
2014-08-06
Accepted
2014-08-04
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