A filtered Hénon map

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