一类非线性三阶自治电路的混沌控制

Control of a Three-order Autonomous Chaotic Circuit

本文分析了一类三阶自治电路的复杂非线性动力学,通过数值分析和计算机模拟非线性负电容的三阶自治电路系统的深入研究,建立其动力学模型.提出了利用非线性控制器和外加线性控制器两种方法实现了系统混沌运动的周期控制,得到了受控系统的相图和全局分叉图,并分析了两种方法的特点.

The complex dynamics characters of A third-autonomous chaotic circuit is studied.numerical analysis and computer simulation with nonlinear negative capacitance of the third-order autonomous circuit system in-depth study,establishing its dynamics model,the chaos of the system is controlled is constructed via adding nonlinear state feedback variables,too.The phane portraits and bifurcation diagram of the controlled system are obtained.The advantages of the twe controlled methods are that the collect of the control signals are simple and can put on any time and the chaotic system can be asymptotically stabilized to equilibriums with small control.The orbits of the system can be controlled by these three methods according to our target.