title: Symbolic dynamics-based error analysis on chaos synchronization via noisy channels.
abstract: In this study, symbolic dynamics is used to research the error of chaos synchronization via noisy channels. The theory of symbolic dynamics reduces chaos to a shift map that acts on a discrete set of symbols, each of which contains information about the system state. Using this transformation, a coder-decoder scheme is proposed. A model for the relationship among word length, region number of a partition, and synchronization error is provided. According to the model, the fundamental trade-off between word length and region number can be optimized to minimize the synchronization error. Numerical simulations provide support for our results.
authors.affiliation: School of Automatic and Electronic Information, Sichuan University of Science and Engineering, Zigong 643000, China and Electrical Engineering Department, University of California, Los Angeles, Los Angeles, California 90095, USA.
authors.forename: Da
authors.initials: D
authors.lastname: Lin
authors.affiliation: College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China.
authors.forename: Fuchen
authors.initials: F
authors.lastname: Zhang
authors.affiliation: Electrical Engineering Department, University of California, Los Angeles, Los Angeles, California 90095, USA.
authors.forename: Jia-Ming
authors.initials: JM
authors.lastname: Liu
mesh_terms: D017711:Nonlinear Dynamics