Spiral wave chimera in two-dimensional nonlocally coupled Fitzhugh-Nagumo systems

被引:37
作者
Guo, Shuangjian [1 ]
Dai, Qionglin [1 ]
Cheng, Hongyan [1 ]
Li, Haihong [1 ]
Xie, Fagen [2 ]
Yang, Junzhong [1 ]
机构
[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
[2] Kaiser Permanente Southern Calif, Dept Res & Evaluat, Pasadena, CA 91101 USA
基金
中国国家自然科学基金;
关键词
Chimera; Spiral wave chimera; Fitzhugh-Nagumo oscillators; TURBULENCE DRIVEN; CARDIAC TISSUE; MODEL; BREAKUP; INSTABILITY; TRANSITION; DYNAMICS; STATES;
D O I
10.1016/j.chaos.2018.07.029
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Spiral wave chimeras with spatially extended unsynchronized cores have been reported in nonlocally coupled phase oscillators and chaotic oscillators. Here, we investigate the two-dimensional nonlocally coupled FitzHugh-Nagumo oscillators with open boundary conditions. Rich dynamics of spiral wave chimeras is discovered numerically. Besides outwardly propagating and inwardly propagating single-spiral wave chimeras, we find the double-spiral wave chimera with two spiral chimeras rotating with each other and the breakup of spiral wave chimeras. We also find a transition between a normal spiral wave with a phase singularity at its center and spiral wave chimera. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码:394 / 399
页数:6
相关论文
共 51 条
[1]   Chimera states for coupled oscillators [J].
Abrams, DM ;
Strogatz, SH .
PHYSICAL REVIEW LETTERS, 2004, 93 (17) :174102-1
[2]   Waves and vortices of rust on the surface of corroding steel [J].
Agladze, K ;
Steinbock, O .
JOURNAL OF PHYSICAL CHEMISTRY A, 2000, 104 (44) :9816-9819
[3]   BOUNDARY-INDUCED DRIFT OF SPIRALS IN EXCITABLE MEDIA [J].
ARANSON, I ;
KESSLER, D ;
MITKOV, I .
PHYSICAL REVIEW E, 1994, 50 (04) :R2395-R2398
[4]   Alternative scenarios of spiral breakup in a reaction-diffusion model with excitable and oscillatory dynamics [J].
Bär, M ;
Or-Guil, M .
PHYSICAL REVIEW LETTERS, 1999, 82 (06) :1160-1163
[5]  
BAR M, 1993, PHYS REV E, V48, pR1635
[6]   Imperfect traveling chimera states induced by local synaptic gradient coupling [J].
Bera, Bidesh K. ;
Ghosh, Dibakar ;
Banerjee, Tanmoy .
PHYSICAL REVIEW E, 2016, 94 (01)
[7]   Chimera states in purely local delay-coupled oscillators [J].
Bera, Bidesh K. ;
Ghosh, Dibakar .
PHYSICAL REVIEW E, 2016, 93 (05)
[8]   Chimera states in bursting neurons [J].
Bera, Bidesh K. ;
Ghosh, Dibakar ;
Lakshmanan, M. .
PHYSICAL REVIEW E, 2016, 93 (01)
[9]   The Three-Dimensional Dynamics of Actin Waves, a Model of Cytoskeletal Self-Organization [J].
Bretschneider, Till ;
Anderson, Kurt ;
Ecke, Mary ;
Mueller-Taubenberger, Annette ;
Schroth-Diez, Britta ;
Ishikawa-Ankerhold, Hellen C. ;
Gerisch, Guenther .
BIOPHYSICAL JOURNAL, 2009, 96 (07) :2888-2900
[10]   Vortex glass and vortex liquid in oscillatory media -: art. no. 068301 [J].
Brito, C ;
Aranson, IS ;
Chaté, H .
PHYSICAL REVIEW LETTERS, 2003, 90 (06) :4