Experimental Investigation of Chaos Synchronization Under Different Coupling Schemes

Abstract

This work presents an experimental implementation of a nonlinear chaotic system using Multisim simulation software and off-the-shelve components. The three-dimensional nonlinear differential equations of Sprott, Rossler, and two-dimensional van der Pol systems were transformed into an electronic circuit. We derived the differential equations for the systems using Kirchoff’s Laws. An Op-amp is used as an integrator and inverter in the circuits while a multiplier is used for deriving the nonlinear terms in the systems. The transformation of the system from periodic to chaotic oscillation was observed. Two identical systems were coupled using bidirectional and cyclic coupling schemes, synchronization, and the advantages of cyclic coupling configuration over the convectional bidirectional schemes of the new systems are reported.