Lévy噪声与周期力共同驱动下的螺旋波动力学  

Effect of Lévy Noise and Periodic Force on Dynamics of Spiral Waves

作　　者：陈绍英[1] 袁国勇[2] 吴刚 崔倩倩[2] 范红领[4] 

机构地区：[1]呼伦贝尔学院科研处,内蒙古呼伦贝尔021008 [2]河北师范大学物理科学与信息工程学院,河北石家庄050016 [3]呼伦贝尔市人民医院心脏内科,内蒙古呼伦贝尔021008 [4]河北省图书馆,河北石家庄050011

出　　处：《计算物理》2012年第4期620-626,共7页Chinese Journal of Computational Physics

基　　金：国家自然科学基金(11005030);内蒙古教育厅基金(NJ09178);河北省教育厅基金(2009135)资助项目

摘　　要：研究加性Lévy噪声与周期外力对FitzHugh-Nagumo可激系统中螺旋波动力学行为的影响.螺旋波波头的运动随外力周期在一定范围内呈规则变化,该规则变化可用相应的傅立叶谱理解,维持该规则变化的是锁频行为.Lévy噪声序列中包含着小概率的大尺度噪声,螺旋波波头运动改变主要来自于它们的影响,本文指出Lévy噪声对波头运动的影响也依赖于外力周期的取值.在适当的参数取值下,Lévy噪声的存在也能导致螺旋波的消失,这为螺旋波的控制、消除提供了一种方法.分析了系统周期与外力周期的锁定行为,给出了不同噪声强度下的Arnold舌,指出随机共振行为的存在.We study effect of additive L6vy noise and periodic force on dynamics of spiral waves, which appears in a FitzHugh-Nagumo excitable system. Motion of spiral tip changes regularly with external force period in domains, which can be explained with corresponding Fourier spectrum. A regular change is due to the existence of frequency-locking. Levy noise sequence contains large-scale noise with a small probability. Large-scale noise has main effect on the motion of spiral tips. We pointed out that effect of Levy noise on tip motion depends on period of external force. At appropriate parameters, the Levy noise leads to the disappearance of spiral waves, and it offer a methold of eontroling and eliminating spiral waves. The locking behavior between internal period of the system and external modulation period is analyzed. Arnold tongues is obtained at various noise intensities. They indicate existance of stochastic resonances.

关 键 词：螺旋波 Lévy噪声 FitzHugh-Nagumo模型 

分 类 号：O415.3[理学—理论物理]