Multistability behaviour of delay coupled complex-valued systems

【摘要】：This paper proposes a scheme for designing multi-stable systems with delay coupling,where the scheme is based on partial synchronization between coupled systems. We discuss our method considering two delay coupled complex Lorenz systems. The efficiency of our technique is shown with numerical simulation results. keeping all other parameters fixed, the most important phenomenon is that amplitude death and chaotic oscillations are observed in a delay coupled complex system with the variation of initial conditions. A multi-stable time delay system may be useful for understanding the mechanism of memory storage in neuronal systems.