标题： 耦合映射格子中的广义循环矩阵 显示英文标题

标题： Generalized circulant matrix in Coupled Map Lattices

摘要： 在本文中表明，每个弱耦合映射格子（CML）都存在一个广义循环矩阵，无论耦合项的形式如何。 因此，当使用微扰方法获得解析解时，该矩阵总会出现。 事实上，使用一阶近似方法后，该矩阵的逆矩阵提供了CML的解析解。 该任意阶的逆矩阵被显式计算，从而提供了CML时间演化的解析表达式。 显示英文摘要

摘要： In this paper it is shown that a generalized circulant matrix underlies every weakly Coupled Map Lattice (CML), independently of the form of the coupling term. Therefore, this matrix will appear always perturbative methods are used to get the analytical solutions. In fact, the inverse of this matrix provides the analytical solution of the CML after using first order approximation methods. This inverse matrix, of arbitrary order, is explicitly calculated, thus providing the analytical expression for the temporal evolution of the CML.