2001/04/25 by Cristina Masoller, Damian H. Zanette, nindexDamianDamia’an H. Zanette · 4 citations
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #nlin.CD
paper · pdf · doi:10.1016/s0378-4371(01)00362-4
10 pages, 4 figures
arxiv created 2001/04/25 · openalex publication_date 2001/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the synchronization of two chaotic maps with unidirectional (master-slave) coupling. Both maps have an intrinsic delay n1, and coupling acts with a delay n2. Depending on the sign of the difference n1-n2, the slave map can synchronize to a future or a past state of the master system. The stability properties of the synchronized state are studied analytically, and we find that they are independent of the coupling delay n2. These results are compared with numerical simulations of a delayed map that arises from discretization of the Ikeda delay-differential equation. We show that the critical value of the coupling strength above which synchronization is stable becomes independent of the delay n1 for large delays.