Synchronization of Uncertain Chaotic Systems with Double Strange Attractors

This paper is devoted to address synchronization between master and slave Newton-Leipnik chaotic systems, each of which has double co-existing strange attractors. Unlike the already existing results, uncertainty was considered in the slaved system here. Synchronization was realized in virtue of sliding mode control, which was designed in an easy going way under auspices of the uncertainty compensation induced by an extended system. On account of which the identity of slaved system model and master system model was facilitated and guaranteed in finite time. Both its speed and invariance together with robustness were discussed theoretically. Simulation results verify the validity of the suggested scheme.