A novel recovering initial conditions method from spatiotemporal complex dynamical system

Abstract

In this contribution, the inverse problem of spatiotemporal complex dynamical system is investigated on the basis of a typical diffusively coupled map lattices (CML) model. A novel method of recovering initial conditions for CML system is proposed by utilizing symbolic dynamics. It is shown that convergent property goes hand in hand with coupling strength. Both theoretical and experimental results show that the proposed algorithm performs well in noiseless case when the coupling strength is not very strong. The presented results also provide a theoretical and factual basis for better analysis and description of the spatiotemporal complex dynamical behaviors of the actual system. © 2010 Springer-Verlag Berlin Heidelberg.