Simultaneous and Sequential Synchronisation in Arrays

Details Simultaneous and Sequential Synchronisation in Arrays Simultaneous and Sequential Synchronisation in Arrays

2006-07-22

arxiv.org/abs/nlin/0607049v1

Eur. Phys. J. Appl. Phys. 37,347-352(2007)

Nonlinear Sciences

Chaotic Dynamics

10 pages 12 figures submitted to European Physical Journal

Scientific paper

10.1051/epjap:200727

We discuss the possibility of simultaneous and sequential synchronisation in vertical and horizontal arrays of unidirectionally coupled discrete systems. This is realized for the specific case of two dimensional Gumowski-Mira maps. The synchronised state can be periodic,thereby bringing in control of chaos, or chaotic for carefully chosen parameters of the participating units. The synchronised chaotic state is further characterised using variation of the time of synchronisation with coupling coefficient, size of the array etc. In the case of the horizontal array, the total time of synchronisation can be controlled by increasing the coupling coefficient step wise in small bunch of units.

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