Abstract The spiral waves anchored to heterogeneous areas are more difficult to control and eliminate than freely rotating ones in homogenous mediums. To eliminate pinned spiral waves, the resistant force should be provided to resist the pinning force. Other than advection field, we introduce parametric wave to play the role of providing resistant force. It is found that the parametric wave with large enough amplitude and proper frequency can unpin and eliminate the spiral wave successfully. The capability of parametric wave in providing resistant force is dependent on its amplitude and frequency sensitively. On the basis of parametric wave, the dependence of pinning force on the size and level of heterogeneity is further confirmed.
Fund: Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. 2020ZDPYMS33(JT)).
Corresponding Authors:
Jun Tang
E-mail: tjuns1979@126.com
Cite this article:
Lu Peng(彭璐) and Jun Tang(唐军) Unpinning the spiral waves by using parameter waves 2021 Chin. Phys. B 30 058202
[1] Roxin A, Riecke H and Solla S A 2004 Phys. Rev. Lett.92 198101 [2] Sinha S, Saramäki J and Kaski K 2007 Phys. Rev. E76 015101 [3] Qian Y, Zhang C, Wei Z, Liu F, Yao C and Zheng Z 2020 Europhys. Lett.131 38002 [4] Qian Y, Zhang G, Wang Y, Yao C and Zheng Z 2019 Chaos29 073106 [5] Lechleiter J, Girard S, Peralta E and Clapham D 1991 Science252 123 [6] Lipp P and Niggli E 1993 Biophys. J.65 2272 [7] Falcke M, Bär M, Lechleiter J D and Hudson J L 1999 Physica D129 236 [8] Tang J, Yang L J, Ma J and Jia Y 2009 Eur. Biophys. J.38 1061 [9] Tang J, Ma J, Yi M and Jia Y 2008 Chin. Phys. B17 4100 [10] Keener J P and Tyson J J 1986 Physica D31 307 [11] Li G, Ouyang Q, Petrov V and Swinney H L 1996 Phys. Rev. Lett.77 2105 [12] Ji L, Zhou Y, Li Q, Qiao C and Ouyang Q 2013 Phys. Rev. E88 042919 [13] Chen J X, Zhang H and Li Y Q 2006 J. Chem. Phys.124 014505 [14] Li T C, Gao X, Zheng F F, Pan D B, Zheng B and Zhang H 2017 Sci. Rep.7 8657 [15] Weiss J N, Chen P S, Qu Z, Karagueuzian H S and Garfinkel A 2000 Circ. Res.87 1103 [16] Shajahan T K, Sinha S and Pandit R 2007 Phys. Rev. E75 011929 [17] Shajahan T K, Nayak A R and Pandit R 2009 PLoS ONE 4 e4738 [18] Stamp A T, Osipov G V and Collins J J 2002 Chaos12 931 [19] Cysyk J and Tung L 2008 Biophys. J.94 1533 [20] Tang J, Yi M, Chen P, Luo J, Ma J and Xia H 2012 Europhys. Lett.97 28003 [21] Weiss J N, Qu Z, Chen P S, Lin S F, Karagueuzian H S, Hayashi H, Garfinkel A and Karma A 2005 Circulation112 1232 [22] Pertsov A M, Davidenko J M, Salomonsz R, Baxter W T and Jalife J 1993 Circ. Res.72 631 [23] Weiss J N, Garfinkel A, Karagueuzian H S, Qu Z and Chen P S 1999 Circulation99 2819 [24] Panfilov A V 1998 Chaos8 57 [25] Falcke M, Or-Guil M and Bär M 2000 Phys. Rev. Lett.84 4753 [26] Pazo D, Kramer L, Pumir A, Kanani S, Efimov I and Krinsky V 2004 Phys. Rev. Lett.93 168303 [27] Biktashev V N, Barkley D and Biktasheva I V 2010 Phys. Rev. Lett.104 058302 [28] Zemlin C W and Pertsov A M 2012 Phys. Rev. Lett.109 038303 [29] Bittihn P, Squires A, Luther G, Bodenschatz E, Krinsky V, Parlitz U and Luther S 2010 Philos. Trans. R. Soc. A368 2221 [30] Pumir A, Sinha S, Sridhar S, Argentina M, Hörning M, Filippi S, Cherubini C, Luther S and Krinsky V 2010 Phys. Rev. E81 010901 [31] Cherubini C, Filippi S and Gizzi A 2012 Phys. Rev. E85 031915 [32] Liu T B, Ma J, Zhao Q and Tang J 2013 Europhys. Lett.104 58005 [33] Deng Y, Liu B Y, Wu T, Shangguan Y Y, Ma J and Tang J 2017 Europhys. Lett.119 58002 [34] Barkley D 1994 Phys. Rev. Lett.72 164 [35] Zhang J, Tang J, Ma J, Luo J M and Yang X Q 2018 Physica A491 340
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