A novel strange attractor and its dynamic analysis

Abstract

In this paper, not only a novel three-dimensional autonomous strange attractor is proposed, but also an idea to generate a more complex chaotic system was introduced. Of particular interest is that this novel system has complex phase diagram, big positive Lyapunov exponent and broad frequency spectrum. With either analytical or numerical methods, basic properties of the system, such as dynamical behaviors (time history and phase diagrams), Poincáre mapping, bifurcation diagram and Lyapunov exponents are investigated to observe chaotic motions. The obtained results clearly show that this is a new chaotic system which has good application prospects.