中国物理B ›› 2006, Vol. 15 ›› Issue (6): 1201-1207.doi: 10.1088/1009-1963/15/6/013
吴峥茂, 卢俊国, 谢剑英
Wu Zheng-Mao (吴峥茂), Lu Jun-Guo (卢俊国), Xie Jian-Ying (谢剑英)
摘要: In this paper, the fractional-order Genesio--Tesi system showing chaotic behaviours is introduced, and the corresponding one in an integer-order form is studied intensively. Based on the harmonic balance principle, which is widely used in the frequency analysis of nonlinear control systems, a theoretical approach is used to investigate the conditions of system parameters under which this fractional-order system can give rise to a chaotic attractor. Finally, the numerical simulation is used to verify the validity of the theoretical results.
中图分类号: (Control of chaos, applications of chaos)