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Symbolic Vector Dynamics Approach to Initial Condition and Control Parameters Estimation of Coupled Map Lattices

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5 Author(s)
Kai Wang ; Dept. of Radio Eng., Southeast Univ., Nanjing ; Wenjiang Pei ; Shaoping Wang ; Yiu-Ming Cheung
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In this paper, we extend symbolic dynamics, a standard analytical method for 1-D chaotic map, and initiate a solution to the problem of estimation in coupled map lattices (CMLs) by introducing the symbolic vector dynamics. We develop a novel technique for estimating initial conditions. We also expand the applicable scope of a word-lifting technique for parameter estimation from a 1-D chaotic map to CMLs. Both theoretical and experimental results show that those algorithms can construct one-to-one correspondence between the set of global orbits and the set of admissible codes. Therefore, we provide novel analytical techniques for understanding turbulences in CMLs.

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IEEE Transactions on Circuits and Systems I: Regular Papers  (Volume:55 ,  Issue: 4 )