# Time-Frequency Analysis of Classical Trajectories of polyatomic molecules

@article{VelaArevalo2001TimeFrequencyAO, title={Time-Frequency Analysis of Classical Trajectories of polyatomic molecules}, author={Luz V. Vela-Arevalo and Stephen Wiggins}, journal={I. J. Bifurcation and Chaos}, year={2001}, volume={11}, pages={1359-1380} }

- Published 2001 in I. J. Bifurcation and Chaos
DOI:10.1142/S0218127401002766

We present a new method of frequency analysis for Hamiltonian Systems of 3 degrees of freedom and more. The method is based on the concept of instantaneous frequency extracted numerically from the continuous wavelet transform of the trajectories. Knowing the time-evolution of the frequencies of a given trajectory, we can define a frequency map, resonances, and diffusion in frequency space as an indication of chaos. The time-frequency analysis method is applied to the Baggott Hamiltonian to… CONTINUE READING