Um estudo numérico do exponente de Lyapunov do Mapa Hénon com filtro FIR

Vinicius Silva Borges, Marcio Eisencraft

DOI: 10.14209/sbrt.2022.1570822237

Evento: XL Simpósio Brasileiro de Telecomunicações e Processamento de Sinais (SBrT2022)

Keywords: Chaotic signals Non-linear systems Discrete-time systems

Abstract

When applying chaotic signals in communications systems it is essential to control and eventually limit the spectral band occupied by these signals. One possibility to achieve this goal is to use discrete-time filters in the feedback loop of dynamical systems. However, the introduction of these filters can destroy the properties of the chaotic dynamics of the signals generated by the original map. Thus, this paper presents a numerical study of the Lyapunov exponents of the signals generated by the two-dimensional Hénon map with low-pass finite impulse response filters added in the feedback loop. The simulation results show that the filter coefficients significantly affect the behavior of the generated signals.

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