Journal
PHYSICA D-NONLINEAR PHENOMENA
Volume 181, Issue 3-4, Pages 171-196Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0167-2789(03)00117-9
Keywords
time-frequency analysis; wavelets; Hamiltonian systems
Ask authors/readers for more resources
We describe a method for analyzing the phase space structures of Hamiltonian systems. This method is based on a time-frequency decomposition of a trajectory using wavelets. The ridges of the time-frequency landscape of a trajectory, also called instantaneous frequencies, enable us to analyze the phase space structures. In particular, this method detects resonance trappings and transitions and allows a characterization of the notion of weak and strong chaos. We illustrate the method with the trajectories of the standard map and the hydrogen atom in crossed magnetic and elliptically polarized microwave fields. (C) 2003 Elsevier Science B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available