Interaction of Wave Trains with Defects

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英文篇名：Interaction of Wave Trains with Defects 作者：陈贤伟 ; 李鹏飞 ; 袁晓平 ; 赵叶华 ; 马军 ; 陈江星 英文作者：Xian-Wei Chen;Peng-Fei Li;Xiao-Ping Yuan;Ye-Hua Zhao;Jun Ma;Jiang-Xing Chen;Department of Public Elementary Education, Zhejiang Guangsha College of Applied Construction Technology;Department of Physics, Hangzhou Dianzi University;Information Engineering School, Hangzhou Dianzi University;Department of Physics, Lanzhou University of Technology; 英文关键词：planar wave trains;;defects;;fusion;;"V" pattern;;spiral wave 中文刊名：CITP 英文刊名：理论物理(英文版) 机构：Department of Public Elementary Education, Zhejiang Guangsha College of Applied Construction Technology;Department of Physics, Hangzhou Dianzi University;Information Engineering School, Hangzhou Dianzi University;Department of Physics, Lanzhou University of Technology; 出版日期：2019-03-01 出版单位：Communications in Theoretical Physics 年：2019 期：v.71 基金：Supported by the Natural Science Foundation of Zhejiang Province under Grant Nos.LQ14A050003 and LR17A050001;; Zhejiang Province Commonweal Projects under Grant No.GK180906288001;; China Scholarship Council under Grant No.201708330401 语种：英文; 页：CITP201903011 页数：5 CN：03 ISSN：11-2592/O3 分类号：80-84

摘要

The evolution and transition of planar wave trains propagating through defects(obstacles) in an excitable medium are studied. When the frequency of the planar wave trains is increased, three different dynamical regimes,namely fusion, "V" waves, and spiral waves, are observed in turn and the underlying mechanism is discussed. The dynamics is concerned with the shapes of the defects. Circle, triangle, and rectangle defects with different sizes are considered. The increase of pacing frequency broadens the fan-shaped broken region in the behind of a rectangle defect.The increase of width of a triangle defect leads to breakup of wave trains easier while the change of height shows opposite effect, which is presented in a phase diagram. Dynamical comparison on defects with different shapes indicates that the decrease of the defect width along the propagation of wave trains makes the fan-shaped region and the minimal frequency for breakup of spiral both increased.
        The evolution and transition of planar wave trains propagating through defects(obstacles) in an excitable medium are studied. When the frequency of the planar wave trains is increased, three different dynamical regimes,namely fusion, "V" waves, and spiral waves, are observed in turn and the underlying mechanism is discussed. The dynamics is concerned with the shapes of the defects. Circle, triangle, and rectangle defects with different sizes are considered. The increase of pacing frequency broadens the fan-shaped broken region in the behind of a rectangle defect.The increase of width of a triangle defect leads to breakup of wave trains easier while the change of height shows opposite effect, which is presented in a phase diagram. Dynamical comparison on defects with different shapes indicates that the decrease of the defect width along the propagation of wave trains makes the fan-shaped region and the minimal frequency for breakup of spiral both increased.

引文

[1] Q. Ouyang and J. M. Flesselles, Nature(Lodon)379(1996)143.
    [2] B. Robertson, M. J. Huang, J. X. Chen, and R. Kapral,Acc. Chem. Res. 51(2018)2355.
    [3] J. X. Chen, Y. G. Chen, and R. Kapral, Adv. Sci. 5(2018)1800028.
    [4] G. Q. Sun, Nonlinear Dyn. 85(2016)1.
    [5] C. N. Wang, J. Ma, J. Tang, and Y. L. Li, Commun.Theor. Phys. 53(2010)382.
    [6] E. M. Cherry and F. H. Fenton, New J. Phys. 10(2008)125016.
    [7] J. Jalife, Annu. Rev. Physiol. 62(2000)25.
    [8] F. X. Witkowski, L. J. Leon, et al., Nature(London)392(1998)78.
    [9] S. Luther, F. H. Fenton, B. G. Kornreich, et al., Nature(London)475(2011)235.
    [10] Y. Q. Fu, H. Zhang, Z. Cao, et al., Phys. Rev. E 72(2005)046206.
    [11] J. X. Chen, H. Zhang, L. Y. Qiao, H. Liang, and W. G.Sun, Commun. Nonlinear Sci. 54(2018)202.
    [12] Z. Nagy-Ungvarai, A. M. Pertsov, B. Hess, et al., Physica D 61(1992)205.
    [13] M. Pertsov, A. V. Panfilov, and F. U. Medvedeva,Biofizika 28(1983)100.
    [14] K. Agladze, J. P. Keener, S. C. Muller, and A. Panfilov,Science 264(1994)1746.
    [15] Y. L. Zhan, B. Maskara, F. Aguel, et al., Circulation 114(2006)2113.
    [16] T. Ikeda, M. Yashima, T. Uchida, et al., Circ. Res. 81(1997)753.
    [17] M. Valderrabano, Y. H. Kim, M. Yashima, et al., J. Am.Coll. Cardiol. 36(2000)2000.
    [18] Y. H. Kim, F. Xie, M. Yashima, et al., Circulation 100(1999)1450.
    [19] A. Vinet and F. A. Roberge, Ann. Biomed. Eng. 22(1994)568.
    [20] F. Xie, Z. Qu, and A. Garfinkel, Phys. Rev. E 58(1998)6355.
    [21] Z. Qu, J. N. Weiss, and A. Garfinkel, Phys. Rev. Lett. 78(1997)1387.
    [22] D. Kupitz, S. Alonso, M. B?r, et al., Phys. Rev. E 84(2011)056210.
    [23] J. X. Chen, J. Xiao, L. Y. Qiao, and J. R. Xu, Commun.Nonlinear Sci. 59(2018)331.
    [24] G. Y. Yuan, H. Zhang, X. L. Wang, G. R. Wang, and S.Y. Chen, Nonlinear Dynam. 90(2017)2745.
    [25] Z. Tang, Y. Y. Li, L. Xi, B. Jia, and H. G. Gu, Commun.Theor. Phys. 57(2012)61.
    [26] M. Ba¨r and M. Eiswirth, Phys. Rev. E 48(1993)R1635.
    [27] J. X. Chen, M. M. Guo, and J. Ma, EPL 113(2016)38004.
    [28] G. N. Tang, et al., Phys. Rev. E 77(2008)046217.
    [29] J. J. Tyson and J. P. Keener, Physica D 32(1988)327.
    [30] A. Isomura, M. Horning, K. Agladze, and K. Yoshikawa,Phys. Rev. E 78(2008)066216.