Bifurcation control and chaos in a linear impulsive system |
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| Authors: | Jiang Gui-Rong Xu Bu-Gong and Yang Qi-Gui |
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| Institution: | School of Mathematical Sciences, South China University of Technology, Guangzhou 510641, China;School of Mathematical Sciences, South China University of Technology, Guangzhou 510641, China; College of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, China |
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| Abstract: | Bifurcation control and the existence of chaos in a class of
linear impulsive systems are discussed by means of both theoretical
and numerical ways. Chaotic behaviour in the sense of Marotto's
definition is rigorously proven. A linear impulsive controller,
which does not result in any change in one period-1 solution of the
original system, is proposed to control and anti-control chaos. The
numerical results for chaotic attractor, route leading to chaos,
chaos control, and chaos anti-control, which are illustrated with
two examples, are in good agreement with the theoretical analysis. |
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| Keywords: | periodic solution bifurcation control chaos controller |
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