螺旋波动力学性质的元胞自动机有向小世界网络研究  

Cellular automaton simulation with directed small-world networks for the dynamical behaviors of spiral waves

作　　者：田昌海[1] 邓敏艺[1] 孔令江[1] 刘慕仁[2] 

机构地区：[1]广西师范大学物理科学与技术学院,桂林541004 [2]广西师范学院物理与电子工程学院,南宁530000

出　　处：《物理学报》2011年第8期75-80,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10765002;10962002;81060307)资助的课题~~

摘　　要：以Greenberg-Hastings激发介质元胞自动机模型为基础,研究了有向小世界网络中重新连接概率p对螺旋波动力学行为的影响.对于在规则网络下的稳定螺旋波,施加有向小世界网络后发现:当p值较小时,原本稳定的螺旋波仍保持其稳定性.随着p的增大,先后观察到螺旋波持续漫游、螺旋波断裂以及螺旋波消失等现象.通过监测系统的激发比率,发现以上现象的产生源于介质激发性随p的增大而降低.同时还发现元胞周期的变化也与p有关.In this paper,we study the influence of the rewiring probability p of the directed small-world network on dynamical behavior of spiral wave using the Greenberg-Hastings cellular automaton model.The computer simulation results show that when p is small enough,the stable spiral wave under the regular networks keeps its stability unchanged,and when p is increased,the phenomenon such as meandering,breakup and disappearance of the spiral waves appears.The relation between the excitability and p leads to the conclusion that the occurrence of the above phenomenon originates from the reducing of the excitability.On the other hand,the period of cell is also related to p.

关 键 词：元胞自动机 螺旋波 激发介质 有向小世界网络 

分 类 号：O415.5[理学—理论物理]