• 论文 •

### 时空混沌对可激发介质中螺旋波的影响的研究

1. 广西师范大学物理科学与技术学院, 广西 桂林 541004
• 收稿日期:2011-11-09 出版日期:2012-06-15 发布日期:2012-06-13
• 基金资助:
国家自然科学基金(批准号: 11165004)资助项目.

Ding Saixiang, Tang Guoning. THE STUDY ON THE EFFECT OF SPATIOTEMPORAL CHAOS ON SPIRAL WAVES IN EXCITABLE MEDIA[J]. Journal of Numerical Methods and Computer Applications, 2012, 33(2): 149-158.

### THE STUDY ON THE EFFECT OF SPATIOTEMPORAL CHAOS ON SPIRAL WAVES IN EXCITABLE MEDIA

Ding Saixiang, Tang Guoning

1. College of Physics and Technology, Guangxi Normal University, Guilin, 541004, Guangxi, China
• Received:2011-11-09 Online:2012-06-15 Published:2012-06-13

The stochastic opening of ion channel in myocardial cells can generate spatially distributed currents in cardiac tissue. These currents are spatiotemporal chaos. In order to know the effect of spatiotemporal chaos on spiral wave, we investigate the evolution of spiral waves in a system of two coupled excitable media by using Bär model. The drive-response coupling schemes with or without constraint condition are proposed. The response and drive subsystems are respectively in the state of spiral wave and spatiotemporal chaos before the coupling turns on. We find that spiral wave exhibits different dynamical behaviors for different parameters. When the coupling strength is weak, the dynamical behavior of spiral wave in response system almost remains unchanged. When the coupling strength is strong, the coupling without constraint condition always leads to the breakup of spiral wave. When the related parameters are properly chosen, spatiotemporal chaos not only can enhance the excitation of the forced medium but also reduce it. In addition, it can induce chaotic meander or drift of a stable or meandering spiral wave, and even causes spiral wave to move out of system. It can greatly delay the breakup of an unstable spiral wave. Specially, it causes an unstable spiral wave become a stable or chaotically meandering spiral wave under the coupling with constraint condition.

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