He Ya-feng, Ai Bao-quan, Liu Fu-cheng
Hebei Key Laboratory of Optic-electronic Information Materials, College of Physics Science and Technology, Hebei University, Baoding 071002, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 May;87(5):052913. doi: 10.1103/PhysRevE.87.052913. Epub 2013 May 21.
We study the interaction of both dense and sparse multiarmed spirals in bistable media modeled by equations of the FitzHugh-Nagumo type. A dense one-armed spiral is characterized by its fixed tip. For dense multiarmed spirals, when the initial distance between tips is less than a critical value, the arms collide, connect, and disconnect continuously as the spirals rotate. The continuous reconstruction between the front and the back drives the tips to corotate along a rough circle and to meander zigzaggedly. The rotation frequency of tip, the frequency of zigzagged displacement, the frequency of spiral, the oscillation frequency of media, and the number of arms satisfy certain relations as long as the control parameters of the model are fixed. When the initial distance between tips is larger than the critical value, the behaviors of individual arms within either dense or sparse multiarmed spirals are identical to that of corresponding one-armed spirals.
我们研究了由FitzHugh-Nagumo型方程建模的双稳介质中密集和稀疏多臂螺旋的相互作用。密集的单臂螺旋以其固定的尖端为特征。对于密集的多臂螺旋,当尖端之间的初始距离小于临界值时,随着螺旋旋转,臂会不断碰撞、连接和断开。前后之间的连续重构驱动尖端沿着一个粗糙的圆共同旋转并曲折蜿蜒。只要模型的控制参数固定,尖端的旋转频率、曲折位移的频率、螺旋的频率、介质的振荡频率和臂的数量就满足一定的关系。当尖端之间的初始距离大于临界值时,密集或稀疏多臂螺旋中单个臂的行为与相应单臂螺旋的行为相同。