Applying the DFT representation for describing the order-chaos transition in H\'enon mapping dynamics
Chaotic Dynamics
2007-05-23 v1
Abstract
The DFT representation is applied, to a ordered-chaotic finite-duration sequences set generated by the H\'enon mapping, for describing the order-chaos transition. This representation has the advantage that it may be applied to a relatively shorter discret-time series. The bifurcation diagram is produced and the largest Lyapounov exponent is calculated for each time series of the set, showing a good agreement with the results obtained by the DFT representation. The threshold value of the control parameter for the order-chaos transition was determined to be A=1.0532.
Keywords
Cite
@article{arxiv.nlin/0203053,
title = {Applying the DFT representation for describing the order-chaos transition in H\'enon mapping dynamics},
author = {Carlos R. Fadragas and Ruben Orozco-Morales and Juan V. Lorenzo-Ginori},
journal= {arXiv preprint arXiv:nlin/0203053},
year = {2007}
}
Comments
13pages, 6figures