Chaos Anticontrol Problems for a Nonlinear Circuit System

Cheng Su; Zhi Dan Huang; Kai Ming Lei

doi:10.4028/www.scientific.net/AMR.433-440.7345

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 433-440Chaos Anticontrol Problems for a Nonlinear Circuit...

Chaos Anticontrol Problems for a Nonlinear Circuit System

Abstract:

A third-order circuit system with nonlinear negative capacitance is studied. The dynamical equation and state equation of the system are established. By the phase portraits, the motions of the system are studied under the definite parameters. And by bifurcation diagram, the route from periodic motion to chaos is studied under the presented system parameters. Two anticontrol methods is used to control the periodic motion of the system to chaos. The phase plane portraits and bifurcation diagram of the anticontrolled system are obtained. The threshold values of the anticontrol values of the two control method are obtained. The advantages of the two anticontrolled methods are that the collect of the control signals are simple and can put on any time and the periodic system can be asymptotically chaotic with small control. The orbits of the system can be anticontrolled by these two methods according to our target

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Periodical:

Advanced Materials Research (Volumes 433-440)

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7345-7350

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.433-440.7345

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Online since:

January 2012

Authors:

Cheng Su, Zhi Dan Huang, Kai Ming Lei

Keywords:

Bifurcation, Chaos, Chaos Anticontrolling, Nonlinear Circuit, Phase Portrait

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