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Control of Unstable Flows |
| LIU Zeng-Rong1;MAO Jian-Min2 |
| 1Department of Mathematics, Shanghai University, Shanghai 201800
2Photonify Technologies Inc., 44061B Old Warm Spring Blvd., Fremont, CA 94538, USA |
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| Cite this article: |
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LIU Zeng-Rong, MAO Jian-Min 2003 Chin. Phys. Lett. 20 206-208 |
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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.
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| Keywords:
05.45.Gg
05.45.Pq
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Published: 01 February 2003
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| PACS: |
05.45.Gg
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(Control of chaos, applications of chaos)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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