|
|
|
Article
Time-dependent normal form hamiltonian for dynamical equilibra.
| Authors: |
Thylwe, K.-E., Dankowicz, H. |
| Document Type: |
Article |
| Pubstate: |
Published |
| Journal: |
J. Phys. A: Math. Gen. |
| Volume: |
29
3707-3722 |
| Year: |
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.
|
|
