The Control Study Of Chua's Circuit And Multiscroll Chaotic Attractors

Chua's circuit is mainly studied in the paper. Firstly, Chua's circuit with real inductor is stimulated by Pspice software. When the adjustable Parameter is selected different values, the chaotic behaviors what Chua's circuit displays are analyzed. At the same time, the piecewise-linear v - i characterstic of the nolinear resistor in the chua's circuit is analyzed.Secondly, a stimulated inductor circuit is introducted. the equal principle of its is analyzed. And let the stimulated inductor to replace the real inductor of Chua's circuit. The project is verified to be available by circuit experiment. Further, the characteristic of the stimulated inductor is confirmed to be better in oscillating circuit.Based on Chua's circuit, the generation of n-scroll chaotic attractors are also studied. Its generation regulation is deduced theoretically, and its equilibrium is also analysised in the paper. A ten-scroll attracror can be obtained by numerical simulation. Similarly, n-scroll chaotic attractors are also studied based on the stimulated inductor. The attractors with a maximum of eight-scroll can be obtained by electric circuit experiment.A transformed circuit(using three power mold to replace piecewise-linear function) of Chua's circuit is studied. According to the transformed Chua's system, an electric circuit is designed. The circuit what we designed is verified to be viable by Pspice simulation. Based on the circuit system, its chaos are controlled by using proportional pulses in the system variables. According to the pulse strength γ_i > 0 and γ_i < 0, two different controllers arerespectively designed. Controlling results are all very good.At last, the chaos of Chua's circuit are controlled by limiting amplitude method. The method is verified to be viable by Pspice simulation. Further, making use of limiting amplitude method, the double-scroll, 5- scroll and 6-scroll chaotic attractors based on the stimulated inductor are controlled to different period orbits by electric circuit experiment.