A filtered Hénon map

Vinícius S. Borges and Marcio Eisencraft

Chaos, Solitons & Fractals, 2022, vol. 165, issue P2

Abstract: In this paper, we use Lyapunov exponents to analyze how the dynamical properties of the Hénon map change as a function of the coefficients of a linear filter inserted in its feedback loop. We show that the generated orbits can be chaotic or not, depending on the filter coefficients. The dynamics of the system presents complex behavior, including cascades of bifurcations, coexistence of attractors, crises, and “shrimps”. The obtained results are relevant in the context of bandlimited chaos-based communication systems, that have recently been proposed in the literature.

Keywords: Dynamical systems; Discrete-time filters; Lyapunov exponents; Chaos-based communication (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:165:y:2022:i:p2:s096007792201044x

DOI: 10.1016/j.chaos.2022.112865

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