Applying the DFT representation for describing the order-chaos transition in Hénon mapping dynamics

2002/03/26 by Carlos R. Fadragas, Fadragas, Carlos R., Ruben Orozco-Morales +5
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #nlin.CD

paper · pdf · doi:10.48550/arxiv.nlin/0203053

13pages, 6figures

arxiv created 2002/03/26 · openalex publication_date 2002/03/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The DFT representation is applied, to a ordered-chaotic finite-duration sequences set generated by the Hénon 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.

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