arXiv subjects

K Ambika

Publications and source records attributed to K Ambika.

3 recordsLinked to original sources

arXiv2006

Simultaneous and Sequential Synchronisation in Arrays

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.

nlin.CD↗

arXiv2006

Intermittency and Synchronisation in Gumowski-Mira Maps

The Gumowski-Mira map is a 2-dimensional recurrence relation that provide a large variety of phase space plots resembling fractal patterns of nature. We investigate the nature of the dynamical states that produce these patterns and find that they correspond to Type I intermittency near periodic cycles. By coupling two GM maps, such patterns can be wiped out to give synchronised periodic states of lower order.The efficiency of the coupling scheme is established by analysing the error function dynamics.

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arXiv2006

Synchronisation schemes for two dimensional discrete systems

In this work we consider two models of two dimensional discrete systems subjected to three different types of coupling and analyse systematically the performance of each in realising synchronised states.We find that linear coupling effectively introduce control of chaos along with synchronisation,while synchronised chaotic states are possible with an additive parametric coupling scheme both being equally relevant for specific applications.The basin leading to synchronisationin the initial value plane and the choice of parameter values for synchronisation in the parameter plane are isolatedin each case.

nlin.CD↗