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Artikel
Time-dependent normal form hamiltonian for dynamical equilibra.
| Författare: |
Thylwe, K.-E., Dankowicz, H. |
| Dokumenttyp: |
Artikel |
| Tillstånd: |
Publicerad |
| Tidskrift: |
J. Phys. A: Math. Gen. |
| Volym: |
29
3707-3722 |
| År: |
1996 |
AbstractA new time-dependent normal-form procedure for dynamical equilibria (undergoing parametric excitation) of one-dimensional (1D) Hamiltonian systems is developed with the method of Lie transforms. The expansion is based on the Lewis invariant for the linearized motion. The time-dependent Hamiltonian normal form reduces smoothly to the usual representation in the autonomous limit. Illustrative examples of the formalism are focused on time-periodic systems and the dynamics of Hamiltonian switching.
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