Controlling the breakup of spiral waves in an excitable medium by applying time-delay feedback signalsJing-Hua Xiao1, 2, Gang Hu3, 4, 5, Hong Zhang1 and Bambi Hu1
1 Centre of Nonlinear Studies and Department of Physics Hong Kong Baptist University - Hong Kong
2 Science School, Beijing University of Posts and Telecommunications Beijing 100876, PRC
3 Chinese Center of Advanced Science and Technology - Beijing 8730, PRC
4 Department of Physics, Beijing Normal University - Beijing 100875, PRC
5 Beijing-Hong Kong-Singapore Joint Center of Nonlinear and Complex Systems Beijing Normal University Branch - Beijing, PRC
received 18 May 2004; accepted in final form 29 October 2004
published online 8 December 2004
The spiral-wave breakup to turbulence in an excitable medium, starting from the spiral-wave center via Doppler instability, is controlled by modulating a local region around the spiral-wave center. The modulation signal is extracted from the controlled region with a certain time delay. By injecting a feedback signal with very low intensity into a very small space area, we can successfully stabilize the spiral wave and prevent breakup to turbulence.
05.45.Ac - Low-dimensional chaos.
82.40.Ck - Pattern formation in reactions with diffusion, flow and heat transfer.
47.54.+r - Pattern selection; pattern formation.
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