Abstract
We consider the problem of trajectory classification (as regular or chaotic) in Hamiltonian systems through power spectrum analysis. We focus our attention on the low frequency domain and we study the asymptotic behavior of the power spectrum when the frequencies tend to zero. A low frequency power estimator γ is derived that indicates the significance of the relative power included by the low frequencies and we show that it is related to the underlying dynamics of the trajectories. The asymptotic behavior of γ along a trajectory is qualitatively similar to that of the finite time Liapunov characteristic number. The standard map is used as a test model, because it is a typical model for describing Hamiltonian dynamics.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Voyatzis, G. (2003). Low Frequency Power Spectra and Classification of Hamiltonian Trajectories. In: Contopoulos, G., Voglis, N. (eds) Galaxies and Chaos. Lecture Notes in Physics, vol 626. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45040-5_10
Download citation
DOI: https://doi.org/10.1007/978-3-540-45040-5_10
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40470-5
Online ISBN: 978-3-540-45040-5
eBook Packages: Springer Book Archive