Abstract
This article deals with second order periodic Hamiltonian systems. We apply variational methods to obtain non-constant periodic solutions. For the time reversible Hamiltonian systems, there exist connecting orbits joining pairs of periodic solutions. Our methods can also be used to treat heteroclinic orbits connecting an equilibrium to a periodic solution.
| Original language | English |
|---|---|
| Pages (from-to) | 121-145 |
| Number of pages | 25 |
| Journal | Journal of Differential Equations |
| Volume | 177 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2001 Nov 20 |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
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Cite this
Chen, C. N., & Tzeng, S. Y. (2001). Periodic solutions and their connecting orbits of Hamiltonian systems. Journal of Differential Equations, 177(1), 121-145. https://doi.org/10.1006/jdeq.2000.3996