Synchronization of Chaos in Time-Delayed Systems under Parameter Mismatch

We report on synchronization between two identical time delay chaotic systems under parameter mismatch. It overcomes some limitations of the previous work where synchronization and antisynchronization has been investigated only in finite-dimensional chaotic systems under parameter mismatch, so we can achieve synchronization and antisynchronization in infinite-dimensional chaotic systems under parameter mismatch. For infinite-dimensional systems modelled by delay differential equations, we find stable synchronization and antisynchronization in long-, moderate- and short-time delay regions, in particular for the hyperchaotic case.