A hyper-chaos with only one nonlinear term and its adaptive synchronization and control
Chaos is widespread in natural session, which is one of typical nonlinear system. This paper gave a four-dimensional nonlinear dynamic system with only one nonlinear term. And it also analyzed its complex dynamic characteristics, including the space trajectory, the Lyapunov exponent, the Poincare map, the Time-domain waveform diagram and the Bifurcation map. These characteristics indicate that the four-dimensional dynamical systems contain hyper-chaotic attractors. It designed adaptive controller, and achieved the system’s synchronization and control. The results show that using adaptive synchronization and control methods can be an ideal way to eliminate the chaos, so that the hyper-chaotic system can reach a stable state, and also show the validities and feasibilities of adaptive synchronization and control methods to control hyper-chaotic dynamical systems.
Single nonlinear term Four-dimensional hyper-chaos system adaptive synchronization control chaos control
CHEN Di-yi MA Xiao-yi
Electric Department NorthWest A&F University Shanxi Yangling 712100, China
国际会议
The 22nd China Control and Decision Conference(2010年中国控制与决策会议)
徐州
英文
1689-1694
2010-05-26(万方平台首次上网日期,不代表论文的发表时间)