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2016•Journal of Communication and Information SystemsOpen access

Spectral Analysis of a Chaotic Map Based on the Hyperbolic Tangent Function

Carlos E. C. Souza, João V. C. Evangelista, Daniel P. B. Chaves, Cecilio Jose Lins Pimentel

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Abstract

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.

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What this paper is about

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.

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Available abstract

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.

Key concepts: Chaotic, Lyapunov exponent, Piecewise linear function, Tangent, Piecewise, Chaotic map, Mathematics, Function (biology)

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