Coexistence of Synchronization and Amplitude Death in Time-Delay Systems

We report synchronization and amplitude death phenomenon in identical time-delay chaotic systems. Theoretical analysis and numerical simulations show that complete synchronization, antisynchronization, and amplitude death are induced simultaneously in different state variables of an infinitedimensional response system. It overcomes some limitations of the previous work where coexistence of synchronization and amplitude death have been investigated in finite-dimensional chaotic systems.