Spectral analysis of a chaotic map based on the hyperbolic tangent function

Published in Journal of Communication and Information Systems, 2016

Recommended citation: Souza, C., Evangelista, J.V., Chaves, D.P. and Pimentel, C., 2016. "Spectral analysis of a chaotic map based on the hyperbolic tangent function." Journal of Communication and Information Systems, 31(1). https://jvce92.github.io/files/2016-spectral-analysis-of-a-chaotic.pdf

This work generalizes the chaotic map recently introduced by the authors with the addition of two new control parameters. The Lyapunov exponent is employed to analyze the chaotic dynamics of the proposed map. The spectral characteristics of chaotic signals generated by this map as a function of the control parameters are also investigated. The proposed map can be used in symbolic dynamics based communication systems with advantages over current approaches based on piecewise linear maps.

Recommended citation: Souza, C., Evangelista, J.V., Chaves, D.P. and Pimentel, C., 2016. "Spectral analysis of a chaotic map based on the hyperbolic tangent function." Journal of Communication and Information Systems, 31(1).

Download this paper here