Synchronising hyperchaos in infinite-dimensional dynamical systems

Abstract Synchronisation of delay dynamical systems exhibiting hyperchaotic behaviour with multiple positive Lyapunov exponents is described. The linear synchronisation via the difference between the variables of the drive and the response systems and the synchronisation employing the drive variable in the non-linear unit of the response system are discussed and compared. A specific example, the Mackey–Glass system is considered in details. The experiment has been performed with an electronic analogue of the Mackey–Glass system.

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