Forced pendulums induce reversible non-montone twist mappings. Non-Birkhoff periodic orbits (NBO) are found in these mappings, hence in the pendulums. The existence of an NBO is equivalent with the non-integrability of the system. Two types of the forcing relation for NBOs are obtained.
32nd Symposium on Celestial Mechanics
- Pub Date:
- Numerical Methods;
- Periodic Orbits