Experimental realization of observer-based hyperchaos synchronization

Abstract

Research literature on the topic of synchronizing hyperchaotic systems predominantly addresses theoretical issues-most investigations lack experimental results. This paper aims to bridge this gap by presenting an electronic circuit implementation of a particular hyperchaotic synchronization strategy. Specifically, previous research has demonstrated that linear observers may be synchronized to a certain class of hyperchaotic systems via a scalar signal. This paper describes an experimental realization of this type of linear observer for the four-dimensional hyperchaotic system proposed by Tamasevicius et al. For comparative purposes, the linear observer circuitry may be electronically reconfigured as a second resistively coupled hyperchaotic oscillator. Experimental results, provided for both cases, verify theoretical results, demonstrate the feasibility of electronically implementing linear observers for hyperchaotic oscillators, and suggest that the linear observer is robust with respect to component mismatches between the hyperchaotic oscillator and the linear observer.