论文标题
过滤的Hénon地图
A filtered Hénon map
论文作者
论文摘要
在本文中，我们使用Lyapunov指数来分析Hénon映射的动力学特性如何随着其反馈回路中插入的线性滤波器系数的变化而变化。我们表明，根据过滤器系数，生成的轨道可能是混乱的。该系统的动力学提出了复杂的行为，包括一系列分叉，吸引子，危机和“虾”的共存。获得的结果与文献中最近提出的基于频率的混乱通信系统有关。
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.
