Stability criterion for projective synchronization in three-dimensional chaotic systems
2001; Elsevier BV; Volume: 282; Issue: 3 Linguagem: Inglês
10.1016/s0375-9601(01)00185-2
ISSN1873-2429
Autores Tópico(s)Quantum chaos and dynamical systems
ResumoProjective 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 systems (Lorenz and disk dynamo), it shows that only some parameters play the key role in influencing the stability. Projective synchronization only happens when σ>−1 for the Lorenz and μ>0 for the disk dynamo.
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