Connecting Orbits for Subharmonic Solutions in Time Reversible Hamiltonian Systems
by Chao-Nien Chen   Shyuh-yaur Tzeng  

Vol. 9 No. 3 (2014) P.431~P.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.

KEYWORDS
Hamiltonian system, homoclinic, heteroclinic, calculus of variations.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 34C37, 49M30, 58E99, 58F09.

MILESTONES

Received: 2013-12-02
Revised : 2014-08-06
Accepted: 2014-08-04

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