Dynamics of the novel multi-cavity hyperchaotic map and its DSP implementation

Abstract Based on the mathematical model of the Bernoulli lemniscate, we design a novel hyperchaotic map with a dual-cavity attractor. Through dynamical analyses, the results indicate that the proposed map is hyperchaos and has wide parameter range, large Lyapunov Exponents (LEs), and high Permutation Entropy (PE) complexity. In addition, two types of multi-cavity hyperchaotic maps are constructed by employing the fractal transformation and rotation transformation, respectively. The multi-cavity hyperchaotic maps have complex topological structures. The hyperchaotic maps are implemented on the digital signal processor (DSP) platform for practical application.