Abstract
A 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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3707-3722 |
| Number of pages | 16 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 29 |
| Issue number | 13 |
| DOIs | |
| State | Published - 1996 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
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