Controlling chaos to unstable periodic orbits and equilibrium state solutions for the coupled dynamos system |
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Authors: | Wu Shu-Hu Hao Jian-Hong and Xu Hai-Bo |
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Institution: | School of Electric and Electronic Engineering, North China Electric Power University, Beijing 102206, China; Department of Physics and Electrical Information Engineering, Shijiazhuang Normal College, Shijiazhuang 050035, China; Institute of Applied Physics and Computational Mathematics, Beijing 100088, China |
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Abstract: | In the case where the knowledge of goal states is not known, the controllers
are constructed to stabilize unstable steady states for a coupled dynamos
system. A delayed feedback control technique is used to suppress chaos to
unstable focuses and unstable periodic orbits. To overcome the topological
limitation that the saddle-type steady state cannot be stabilized, an
adaptive control based on LaSalle's invariance principle is used to control
chaos to unstable equilibrium (i.e. saddle point, focus, node, etc.). The
control technique does not require any computer analysis of the system
dynamics, and it operates without needing to know any explicit knowledge of
the desired steady-state position. |
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Keywords: | coupled dynamos system delayed feedback control adaptive
control controlling chaos |
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