Synchronisation of time--delay systems

Martin J. Bünner; Wolfram Just

doi:10.1103/physreve.58.r4072

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arXiv · chao-dyn/9908003

Synchronisation of time--delay systems

Martin J. Bünner·Wolfram Just

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Abstract

We present the linear-stability analysis of synchronised states in coupled time-delay systems. There exists a synchronisation threshold, for which we derive upper bounds, which does not depend on the delay time. We prove that at least for scalar time-delay systems synchronisation is achieved by transmitting a single scalar signal, even if the synchronised solution is given by a high-dimensional chaotic state with a large number of positive Lyapunov-exponents. The analytical results are compared with numerical simulations of two coupled Mackey-Glass equations.

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Martin J. Bünner, Wolfram Just. 1999-07-30. Synchronisation of time--delay systems. https://doi.org/10.1103/physreve.58.r4072

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