Circuit implementation and model of a new multi-scroll chaotic system

摘要

In this paper, a multi-scroll chaotic system from the improved Chua's system is proposed. Moreover, non-linear dynamics are analyzed including phase-space trajectories, bifurcation diagrams, Poincare maps and so on. The most important thing is that we discovered phase-space trajectories, bifurcation diagrams and Poincare maps are unified and closely related, which can describe different aspects of the multi-scroll chaotic system. Furthermore, the corresponding improved module-based circuits are designed for realizing two to four-scroll chaotic attractors, and the experimental results are also obtained, which are consistent with the numerical simulations.