Connecting Orbits for Subharmonic Solutions in Time Reversible Hamiltonian Systems
Vol. 9 No. 3 (2014) P.431~P.450
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.
Hamiltonian system, homoclinic, heteroclinic, calculus of variations.
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 34C37, 49M30, 58E99, 58F09.
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Revised : 2014-08-06