中国物理B ›› 2009, Vol. 18 ›› Issue (12): 5235-5241.doi: 10.1088/1674-1056/18/12/021
胥布工1, 杨启贵2, 蒋贵荣3
Jiang Gui-Rong(蒋贵荣)a)b),Xu Bu-Gong(胥布工) c), and Yang Qi-Gui (杨启贵)a)†
摘要: Bifurcation control and the existence of chaos in a class of linear impulsive systems are discussed by means of both theoretical and numerical ways. Chaotic behaviour in the sense of Marotto's definition is rigorously proven. A linear impulsive controller, which does not result in any change in one period-1 solution of the original system, is proposed to control and anti-control chaos. The numerical results for chaotic attractor, route leading to chaos, chaos control, and chaos anti-control, which are illustrated with two examples, are in good agreement with the theoretical analysis.
中图分类号: (Control of chaos, applications of chaos)