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| THE STABILITY OF THE PERIODIC SOLUTIONS OF SECOND ORDER HAMILTONIAN SYSTEMS |
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Citation： |
LIU Chungen.THE STABILITY OF THE PERIODIC SOLUTIONS OF SECOND ORDER HAMILTONIAN SYSTEMS[J].Chinese Annals of Mathematics B,2000,21(2):225~232 |
| Page view： 1178
Net amount： 699 |
Authors： |
LIU Chungen; |
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| Abstract： |
This paper studies the stability of the periodic solutions of the second order Hamiltonian
systems with even superquadratic or subquadratic potentials. The author proves that in the
subquadratic case, there exist infinite geometrically distinct elliptic periodic solutions, and in
the superquadratic case, there exist infinite geometrically distinct periodic solutions with at
most one instability direction if they are half period non-degenerate, otherwise they are elliptic. |
Keywords： |
Krein type, Stability, Periodic elliptic solution, Hamiltonian systems |
Classification： |
58F05, 58E05, 34C25, 58F10 |
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