Controlling chaos to unstable periodic orbits and equilibrium state solutions for the coupled dynamos system

doi:10.1088/1674-1056/19/2/020509

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.

Keywords: coupled dynamos system delayed feedback control adaptive control controlling chaos

Received: 03 June 2009
Revised: 28 July 2009
Accepted manuscript online:

PACS:

05.45.Gg

(Control of chaos, applications of chaos)

Fund: Project supported by the Doctoral Foundation of North China Electric Power University (Grant No.~kH0433) and the International Science and Technology Cooperation Program (Grant No.~2007DFA71250).

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Wu Shu-Hua(吴淑花), Hao Jian-Hong(郝建红), and Xu Hai-Bo(许海波) Controlling chaos to unstable periodic orbits and equilibrium state solutions for the coupled dynamos system 2010 Chin. Phys. B 19 020509

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Controlling chaos to unstable periodic orbits and equilibrium state solutions for the coupled dynamos system

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