ANALYSIS OF CONTROLLING CHAOS IN CHUA'S CIRCUIT

碩士 === 中原大學 === 電機工程研究所 === 83 === In the thesis, the theoretical analysis and computer simula- tions of controlling chaos in Chua's circuit is studied by the method of nonfeedback control. The method of nonfeedback control makes use o...

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Bibliographic Details
Main Authors: Wang,Chien Chih, 王建智
Other Authors: Twu, Shih-Hsiung; Lai, Lin-Ying
Format: Others
Language:en_US
Published: 1995
Online Access:http://ndltd.ncl.edu.tw/handle/49348872561709479637
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Summary:碩士 === 中原大學 === 電機工程研究所 === 83 === In the thesis, the theoretical analysis and computer simula- tions of controlling chaos in Chua's circuit is studied by the method of nonfeedback control. The method of nonfeedback control makes use of coupling an asymptotically stable linear circuit to the original chaotic Chua's circuit to obtain the desired periodic motions instead of the chaotic ones. Two cases with different parameters in the coupling linear circuit will be proposed and analyzed via numerical simulations. In case 1, the resonant frequency of the coupling linear circuit is close to that of the original Chua's circuit. However, in case 2, the resonant frequency of the coupling linear circuit is apart from that of the original Chua's circuit. The research of effects of resonant frequencies in the coupling circuit is studied for the first time in this thesis.  The simulation results show that: (1) Both of the two cases are available for appling to Chua's circuit to convert the chaotic double scroll to the periodic motions in some regions of a variable parameter. (2) Case 2 possesses more phenomena than those of case 1 as the variable parameter is varied. (3) The design of nonfeedback control offers an effective way of con- trolling chaos without changing the structure of the original Chua's circuit. (4) The unstable fixed points of the controlled system can be stabilized to be stable ones.