원문정보
초록
영어
This paper proposes a novel four-dimensional autonomous system which has complex chaotic dynamics behaviors and gives analysis of novel system. More importantly, the novel system can generate three-layer chaotic attractor, four-layer chaotic attractor, five-layer chaotic attractor, multilayer chaotic attractor by choosing different parameters and initial condition. We analyze the new system by means of phase portraits, Lyapunov exponent spectrum, fractional dimension and bifurcation diagram of the system. The four-dimensional autonomous system is totally different from the well-known systems in previous work. Linear feedback control methods are used to suppress chaos to unstable equilibrium. Numerical simulations are presented to show these results.
목차
1. Introduction
2. Establishment of the Novel Four-dimensional Dynamic Evolution System
2.1. Equilibrium Point
2.2. Dissipation
2.3. Lyapunov Exponent of Novel System
3. The Multilayer Chaotic Attractor of New System
3.1. Two-Layer Chaotic Attractor
3.2. Three-layer Chaotic Attractor
3.3. Four-layer Chaotic Attractor
3.4. Multilayer Chaotic Attractor
4. Bifurcation Analysis of New System
5. Linear Feedback Control
Acknowledgements
References