Projective synchronisation of a new chaotic system via small-gain theorem

Abstract

On the basis of the small-gain theorem, the projective synchronisation (PS) between two identical new chaotic systems is investigated. Moreover, the general sufficient conditions to achieve PS between the new chaotic system and the Lü chaotic system are obtained via the small-gain theorem. Numerical simulations are performed to verify and illustrate the analytical results.

Keywords:

• chaotic system
• projective synchronisation
• small-gain theorem

Acknowledgement

This work is supported by the Fundamental Research Funds for the Central Universities of China under grant No. 10100012.