Abstract
Chaos synchronization, as a special complex phenomenon, has been studiedfor about a decade. Only recently, have generalized chaotic synchronizationphenomena been realized to be general in the real world and to havepotential applications. We present two theorems for constructing a kindof array differential equations with generalized synchronization (GS)with respect to linear transformations. Two array differential equationsystems with GS are introduced based on our theorems. Numericalsimulations show that the two systems display periodic GS and chaoticGS, respectively.
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