Abstract
We study periodic orbits of Hamiltonian differential systems with three degrees of freedom using the averaging theory. We have chosen the classical integrable Hamiltonian system with the Hooke potential and we study periodic orbits which bifurcate from the periodic orbits of the integrable system perturbed with a non-autonomous potential. © 2012 Elsevier B.V..
Original language | English |
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Pages (from-to) | 1054-1063 |
Journal | Journal of Geometry and Physics |
Volume | 62 |
Issue number | 5 |
DOIs | |
Publication status | Published - 1 May 2012 |
Keywords
- Averaging theory
- Hamiltonian system
- Hooke potential
- Periodic orbit