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The formation of self-sustained target wave in a two-dimensional excitable medium into which a ring-like heterogeneous excitable medium is introduced is investigated. The numerical results show that the initial perturbation can produce a self-sustained target wave in an excitable medium when the excitabilities of two media and the size of the ring are appropriately chosen. The physical mechanism responsible for the formation of self-sustained target wave is analyzed.
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Keywords:
- excitable medium /
- heterogeneous medium /
- target wave
[1] Bar M,Bangia A K,Kevrekidis I G,Haas G,Rotermund H H,Ertl G 1996 J. Phys. Chem. 100 19106
[2] Csorgei K K,Zhabotinsky A M,Orban M,Epstein I R 1997 J. Phys. Chem. A 101 6827
[3] Ma J,Jin W Y,Yi M,Li Y L 2008 Acta Phys. Sin. 57 2832 (in Chinese) [马 军、靳伍银、易 鸣、李廷龙 2008 物理学报 57 2832]
[4] Ma J,Jin W Y,Li Y L,Chen Y 2007 Acta Phys. Sin. 56 2456 (in Chinese) [马 军、靳伍银、李廷龙、陈 勇 2007 物理学报 56 2456]
[5] Zhang G Y,Ma J,Gan Z N,Chen Y 2008 Acta Phys. Sin. 57 6815 (in Chinese) [张国勇、马 军、甘正宁、陈 勇 2008 物理学报 57 6815]
[6] Zhang H,Wu N,Ying H,Hu G,Hu B 2004 J. Chem. Phys. 121 7276
[7] Ten Tusscher K H W J,Panfilov A V 2003 Phys. Rev. E 68 062902
[8] Ma J,Wang C N,Jin W Y,Li Y L,Pu Z S 2008 Chin.Phys. B 17 2844
[9] Ginn B T,Steinbock O 2005 Phys. Rev. E 72 46109
[10] Shajahan T K,Sinha S,Pandit R 2007 Phys. Rev. E 75 11929
[11] Xie F,Qu Z,Weiss J N,Garfinkel A 2004 Phys. Rev. E 63 31905
[12] Schebesch I,Engel H 1998 Phys. Rev. E 57 3905
[13] Park J S,Lee K J 2006 Phys. Rev. E 73 66219
[14] Lv Y P,Gu G F,Lu H C,Dai Y,Tang G N 2009 Acta Phys. Sin. 58 2996 (in Chinese) [吕耀平、顾国峰、陆华春、戴 瑜、唐国宁 2009 物理学报 58 2996]
[15] Brazhnik P K,Tyson J J 1996 Phys. Rev. E 54 1958
[16] Li B W,Zhang H,Ying H P,Hu G 2009 Phys. Rev. E 79 026220
[17] Chen J X,Mao J W,Hu B,Xu J R,He Y F,Li Y,Yuan X P 2009 Phys. Rev. E 79 066209
[18] Br M, Eiswirth M 1993 Phys. Rev. E 48 R1635
[19] Neu J C,Preissig R S,Krassowska W 1997 Phys. D 102 285
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[1] Bar M,Bangia A K,Kevrekidis I G,Haas G,Rotermund H H,Ertl G 1996 J. Phys. Chem. 100 19106
[2] Csorgei K K,Zhabotinsky A M,Orban M,Epstein I R 1997 J. Phys. Chem. A 101 6827
[3] Ma J,Jin W Y,Yi M,Li Y L 2008 Acta Phys. Sin. 57 2832 (in Chinese) [马 军、靳伍银、易 鸣、李廷龙 2008 物理学报 57 2832]
[4] Ma J,Jin W Y,Li Y L,Chen Y 2007 Acta Phys. Sin. 56 2456 (in Chinese) [马 军、靳伍银、李廷龙、陈 勇 2007 物理学报 56 2456]
[5] Zhang G Y,Ma J,Gan Z N,Chen Y 2008 Acta Phys. Sin. 57 6815 (in Chinese) [张国勇、马 军、甘正宁、陈 勇 2008 物理学报 57 6815]
[6] Zhang H,Wu N,Ying H,Hu G,Hu B 2004 J. Chem. Phys. 121 7276
[7] Ten Tusscher K H W J,Panfilov A V 2003 Phys. Rev. E 68 062902
[8] Ma J,Wang C N,Jin W Y,Li Y L,Pu Z S 2008 Chin.Phys. B 17 2844
[9] Ginn B T,Steinbock O 2005 Phys. Rev. E 72 46109
[10] Shajahan T K,Sinha S,Pandit R 2007 Phys. Rev. E 75 11929
[11] Xie F,Qu Z,Weiss J N,Garfinkel A 2004 Phys. Rev. E 63 31905
[12] Schebesch I,Engel H 1998 Phys. Rev. E 57 3905
[13] Park J S,Lee K J 2006 Phys. Rev. E 73 66219
[14] Lv Y P,Gu G F,Lu H C,Dai Y,Tang G N 2009 Acta Phys. Sin. 58 2996 (in Chinese) [吕耀平、顾国峰、陆华春、戴 瑜、唐国宁 2009 物理学报 58 2996]
[15] Brazhnik P K,Tyson J J 1996 Phys. Rev. E 54 1958
[16] Li B W,Zhang H,Ying H P,Hu G 2009 Phys. Rev. E 79 026220
[17] Chen J X,Mao J W,Hu B,Xu J R,He Y F,Li Y,Yuan X P 2009 Phys. Rev. E 79 066209
[18] Br M, Eiswirth M 1993 Phys. Rev. E 48 R1635
[19] Neu J C,Preissig R S,Krassowska W 1997 Phys. D 102 285
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