摘要
In order to describe practical chaotic systems exactly,we presented a simple modified Chua's circuit, which contains an asymmetric nonlinear resistive element. Mathematical analysis was made, and simulation study was performed by MATLAB. By varying the value of linear resistor in the circuit, rich variety dynamical behaviors were observed,such as DC equilibrium point, Hopf bifurcation, period-doubling bifurcation, single-scroll strange attractor,periodic windows, and asymmetric double-scroll strange attractor. The extreme sensitivity in the state trajectory with respect to the initial conditions was exhibited; the special characteristic of asymmetric nonlinear Chua's circuit was found also.
In order to describe practical chaotic systems exactly, we presented a simple modified Chua＇s circuit, which contains an asymmetric nonlinear resistive element. Mathematical analysis was made, and simulation study was performed by MATLAB. By varying the value of linear resistor in the circuit, rich variety dynam- ical behaviors were observed, such as DC equilibrium point, Hopf bifurcation, period-doubling bifurcation, single-scroll strange attractor, periodic windows, and asymmetric double-scroll strange attractor. The extreme sensitivity in the state trajectory with respect to the initial conditions was exhibited; the special characteristic of asymmetric nonlinear Chua＇s circuit was found also.
基金
the National Basic Research Program(973) of China (No. 2005CB221505)
Specialized Research Fund for the Doctoral Program of Higher Education of China (No.20050248058)
