基于符号向量动力学的耦合映像格子初始向量估计

在符号动力学的基础上,探讨了基于符号向量序列的局部耦合映像格子求逆问题,证明了相空间I^N上任意取值通过基于符号向量序列的逆迭代过程必然收敛至初始向量,提出了基于符号向量动力学的初始向量估计算法,从而建立了耦合映像格子符号序列和实际动力系统相空间的对应关系.实验结果表明,根据该算法可以有效建立符号向量序列和耦合映像格子相空间之间的对应关系,更好地刻画了实际模型的物理过程. 关键词： 耦合映像格子 符号动力学 初始向量估计

Initial condition estimation from coupled map lattices based on symbolic vector dynamics

In this paper, we consider a symbolic dynamic method, based on going athwart the coupled map lattices, to estimate unknown initial conditions of nonlinear dynamical system from the given symbolic vector sequence. It is proved that any value taken from the interval I^N will converge to the initial conditions with the iteration of athwart-coupled map lattices function, and an initial condition detection method from symbolic vector sequence is presented. Both theoretical and experimental results show that the estimation method can establish one-to-one correspondence between the initial conditions of coupled map lattices and their symbolic vector sequence; therefore this technique appears to be ideally suited for information estimation.