A new type of four-wing chaotic attractors in 3-D quadratic autonomous systems

作者：Wang Zenghui^*; Qi Guoyuan; Sun Yanxia; van Wyk Barend Jacobus; van Wyk Michael Antonie

来源：Nonlinear Dynamics, 2010, 60(3): 443-457.

DOI：10.1007/s11071-009-9607-8

• Chaos
• Four-wing chaotic attractor
• Lyapunov exponents
• Bifurcation
• Poincare map

In this paper, several smooth canonical 3-D continuous autonomous systems are proposed in terms of the coefficients of nonlinear terms. These systems are derived from the existing 3-D four-wing smooth continuous autonomous chaotic systems. These new systems are the simplest chaotic attractor systems which can exhibit four wings. They have the basic structure of the existing 3-D four-wing systems, which means they can be extended to the existing 3-D four-wing chaotic systems by adding some linear and/or quadratic terms. Two of these systems are analyzed. Although the two systems are similar to each other in structure, they are different in dynamics. One is sensitive to the initializations and sampling time, but another is not, which is shown by comparing Lyapunov exponents, bifurcation diagrams, and Poincar, maps.

• 出版日期2010-5
• 单位山东科技大学