Analysis of a new three-dimensional system with multiple chaotic attractors

作者：Guan, Zhi-Hong^*; Lai, Qiang; Chi, Ming; Cheng, Xin-Ming; Liu, Feng

来源：Nonlinear Dynamics, 2014, 75(1-2): 331-343.

DOI：10.1007/s11071-013-1069-3

• Chaotic system
• Multiple attractors
• Four-scroll chaotic attractor
• Initial value

In this paper, a new three-dimensional autonomous system with complex dynamical behaviors is reported. This new system has three quadratic nonlinear terms and one constant term. One remarkable feature of the system is that it can generate multiple chaotic and multiple periodic attractors in a wide range of system parameters. The presence of coexisting chaotic and periodic attractors in the system is investigated. Moreover, it is easily found that the new system also can generate four-scroll chaotic attractor. Some basic dynamical behaviors of the system are investigated through theoretical analysis and numerical simulation.

• 出版日期2014-1
• 单位华中科技大学; 中南大学; 中国地质大学（北京）