中国物理B ›› 2006, Vol. 15 ›› Issue (6): 1216-1225.doi: 10.1088/1009-1963/15/6/015
王杰智, 陈增强, 袁著祉
Wang Jie-Zhi (王杰智), Chen Zeng-Qiang (陈增强), Yuan Zhu-Zhi (袁著祉)
摘要: This paper reports a new four-dimensional hyperchaotic system obtained by adding a controller to a three-dimensional autonomous chaotic system. The new system has two parameters, and each equation of the system has one quadratic cross-product term. Some basic properties of the new system are analysed. The different dynamic behaviours of the new system are studied when the system parameter $a$ or $b$ is varied. The system is hyperchaotic in several different regions of the parameter $b$. Especially, the two positive Lyapunov exponents are both larger, and the hyperchaotic region is also larger when this system is hyperchaotic in the case of varying $a$. The hyperchaotic system is analysed by Lyapunov-exponents spectrum, bifurcation diagrams and Poincar\'{e} sections.
中图分类号: (Nonlinear dynamics and chaos)