摘要
The KAM theory can be used properly to describe the motion of the double pendulum if the gravity is treated as a perturbation. The existence of the KAM invariant closed curves represents that some characters of the “total generalized momentum” conservation of the gravity free system can be kept when the gravity is small in comparison with the total enery.
The KAM theory can be used properly to describe the motion of the double pendulum if the gravity is treated as a perturbation. The existence of the KAM invariant closed curves represents that some characters of the “total generalized momentum” conservation of the gravity free system can be kept when the gravity is small in comparison with the total enery.
