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Suppression of spiral waves and spatiotemporal chaos are considered based on the LuoRud91model. We apply local feedback to suppress spiral wave and spatiotemporal chaos. Two control strategies are proposed, namely the static and the moving control methods. It is found that when related parameters are properly chosen spiral wave can be suppressed by static controller, whereas spatiotemporal chaos cannot be suppressed effectively. However, spiral wave and spatiotemporal chaos can be suppressed effectively by moving controller. The corresponding control speed depends on the traveling speed of controller. Spiral wave and spatiotemporal chaos can be suppressed in a short time when the control parameters are suitably chosen.
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Keywords:
- spiral waves /
- spatiotemporal chaos /
- local feedback
[1] ［1］Allessie M A, Bonke F I M, Schopmam F J G 1973 Circ Res. 33 54
[2] ［2］Winfree A T 1972 Science 175 634
[3] ［3］Lechleiter J, Girard S, Perlta E, Clapham D 1991 Science 252 123
[4] ［4］Davidenko J M, Pertsov A V, Salomonsz R, Baxter W, Jalife J 1992 Nature 355 349
[5] ［5］Martyn P N, Alexander V P 2004 Prog. Biophys. Mol. Bio. 85 501
[6] ［6］Zhan X M 2007 Doctoral Dissertation （Beijing Normal University） （in Chinese）［张晓明 2007 博士学位论文（北京师范大学）］
[7] ［7］Ma J, Jin W Y, Li Y L, Chen Y 2007 Acta Phys. Sin. 56 2456 （in Chinese）［马军、靳伍银、李延龙、陈勇 2007物理学报 56 2456］
[8] ［8］Panfilov A V, Muller S C, Zykov V S, Keener J P 1999 Phys. Rev. E 61 4644
[9] ［9］Yi X Z, Liu Y 2008 Acta Phys. Sin. 57 6844 （in Chinese）［尹小舟、刘勇 2008 物理学报 57 6844］
[10] ］Brandt M B, Shih H T, Chen G R 1997 Phys. Rev. E 56 R1334
[11] ］Zhang H X, Zhu Y S, Niu J H, Tong S B 2000 Acta Phys. Sin. 49 1416（in Chinese）［张红煊、朱贻盛、牛金海、童善保 2000物理学报 49 1416］
[12] ］Hu G, He K F 1993 Phys. Rev. Lett. 71 3794
[13] ］Luo C, Rudy Y 1991 Circ. Res. 68 1501
[14] ］Cao Z J 2006 Doctoral Dissertation （Beijing Normal University） （in Chinese）［曹周键 2006 博士学位论文（北京师范大学）］
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[1] ［1］Allessie M A, Bonke F I M, Schopmam F J G 1973 Circ Res. 33 54
[2] ［2］Winfree A T 1972 Science 175 634
[3] ［3］Lechleiter J, Girard S, Perlta E, Clapham D 1991 Science 252 123
[4] ［4］Davidenko J M, Pertsov A V, Salomonsz R, Baxter W, Jalife J 1992 Nature 355 349
[5] ［5］Martyn P N, Alexander V P 2004 Prog. Biophys. Mol. Bio. 85 501
[6] ［6］Zhan X M 2007 Doctoral Dissertation （Beijing Normal University） （in Chinese）［张晓明 2007 博士学位论文（北京师范大学）］
[7] ［7］Ma J, Jin W Y, Li Y L, Chen Y 2007 Acta Phys. Sin. 56 2456 （in Chinese）［马军、靳伍银、李延龙、陈勇 2007物理学报 56 2456］
[8] ［8］Panfilov A V, Muller S C, Zykov V S, Keener J P 1999 Phys. Rev. E 61 4644
[9] ［9］Yi X Z, Liu Y 2008 Acta Phys. Sin. 57 6844 （in Chinese）［尹小舟、刘勇 2008 物理学报 57 6844］
[10] ］Brandt M B, Shih H T, Chen G R 1997 Phys. Rev. E 56 R1334
[11] ］Zhang H X, Zhu Y S, Niu J H, Tong S B 2000 Acta Phys. Sin. 49 1416（in Chinese）［张红煊、朱贻盛、牛金海、童善保 2000物理学报 49 1416］
[12] ］Hu G, He K F 1993 Phys. Rev. Lett. 71 3794
[13] ］Luo C, Rudy Y 1991 Circ. Res. 68 1501
[14] ］Cao Z J 2006 Doctoral Dissertation （Beijing Normal University） （in Chinese）［曹周键 2006 博士学位论文（北京师范大学）］
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