Analysis of convergence for initial condition estimation of coupled map lattices based on symbolic dynamics

doi:10.1088/1674-1056/19/11/110507

Abstract A novel approach to the inverse problem of diffusively coupled map lattices is systematically investigated by utilizing the symbolic vector dynamics. The relationship between the performance of initial condition estimation and the structural feature of dynamical system is proved theoretically. It is found that any point in a spatiotemporal coupled system is not necessary to converge to its initial value with respect to sufficient backward iteration, which is directly relevant to the coupling strength and local mapping function. When the convergence is met, the error bound in estimating the initial condition is proposed in a noiseless environment, which is determined by the dimension of attractors and metric entropy of the system. Simulation results further confirm the theoretic analysis, and prove that the presented method provides the important theory and experimental results for better analysing and characterizing the spatiotemporal complex behaviours in an actual system.

Keywords: coupled map lattices convergence symbolic dynamics initial condition estimation

Received: 31 December 2009
Revised: 02 July 2010
Accepted manuscript online:

PACS:	02.30.Zz	(Inverse problems)
	05.45.Ra	(Coupled map lattices)
	05.70.Ce	(Thermodynamic functions and equations of state)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 60571066, 60271023 and 61072037), and the Natural Science Foundation of Guangdong Province, China (Grant No. 07008126).

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Sun Li-Sha(孙丽莎), Kang Xiao-Yun(康晓云), and Lin Lan-Xin(林兰馨) Analysis of convergence for initial condition estimation of coupled map lattices based on symbolic dynamics 2010 Chin. Phys. B 19 110507

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Analysis of convergence for initial condition estimation of coupled map lattices based on symbolic dynamics

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