Control of Unstable Flows
LIU Zeng-Rong1 , MAO Jian-Min2
1 Department of Mathematics, Shanghai University, Shanghai 201800
2 Photonify Technologies Inc., 44061B Old Warm Spring Blvd., Fremont, CA 94538, USA
Control of Unstable Flows
LIU Zeng-Rong1 ;MAO Jian-Min2
1 Department of Mathematics, Shanghai University, Shanghai 201800
2 Photonify Technologies Inc., 44061B Old Warm Spring Blvd., Fremont, CA 94538, USA
关键词 ：
05.45.Gg ,
05.45.Pq
Abstract ： Without introducing a discrete model, unstable continuous flows in a neighbourhood of an unstable stationary point can be stabilized. The linear part of the vector field of disturbing the flow can be managed to become the state variable multiplied by a negative constant. The nonlinear part of the vector field keeps to be unchanged, therefore flows far away from the stationary point are almost unaffected by the disturbance. The control method is easy to be used, even for practical problems for which a priori analytical knowledge of system dynamics is unavailable.
Key words ：
05.45.Gg
05.45.Pq
出版日期: 2003-02-01
:
05.45.Gg
(Control of chaos, applications of chaos)
05.45.Pq
(Numerical simulations of chaotic systems)
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2003, Vol. 20 
