Modeling methods and characteristic analysis of new Hamiltonian and non-Hamiltonian conservative chaotic systems

Abstract

Recently, more and more researches on conservative system have become the focus of scholars’ research. In this paper, we propose a new class of methods for constructing Hamiltonian and non-Hamiltonian conservative chaotic systems, which are suitable for constructing three-dimensional, four-dimensional and higher-dimensional conservative chaotic systems. The non-Hamiltonian conservative chaotic systems can show manifest properties such as hyperchaos and multistability with symmetry. To confirm the correctness of the modeling methods, we construct a five-dimensional system using the above methods and analyze the dynamics by means of phase diagram, Lyapunov exponent spectrum, bifurcation diagram and complexity analysis. Finally, the hardware implementation of the system is carried out by the DSP platform. The results prove the effectiveness of the conservative chaotic system modeling approaches.