Separation and synchronization of chaotic signals by optimization

Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Jan;75(1 Pt 2):016215. doi: 10.1103/PhysRevE.75.016215. Epub 2007 Jan 24.

Abstract

In this paper synchronization of multiplexed chaotic systems with smooth nonlinearities is studied. The strategy to establish if such synchronization is achievable is based on the master stability function approach and on the optimization of the coupling parameters. With this approach we are able to show that systems formed by three independent canonical chaotic circuits (i.e., a Lorenz system, a Rössler oscillator, and a Chua's circuit) can be synchronized through a unique scalar signal.