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The conditions of projective synchronization in partially linear chaotic systems of arbitrary dimension are studied. We find that, for any bounded Jacobian matrix M, projective synchronization happens when all the Lyapunov exponents are nonpositive. Several simple criteria are explored for matrix M with the properties of m ik =m ki and m ik =-m ki ...
Projective synchronization, in which the state vectors synchronize up to a scaling factor, has recently been observed in coupled partially linear chaotic systems (Lorenz system) under certain conditions. In this Letter, we present a stability criterion that guarantees the occurrence of the projective synchronization in three-dimensional systems. By applying the criterion to two typical partially linear...
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