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Synchronizing chaos using reservoir computing
Amirhossein Nazerian1, Chad Nathe1, Joseph D Hart2
1Mechanical Engineering Department, University of New Mexico, Albuquerque, New Mexico 87131, USA.
Abstract:
We attempt to achieve complete synchronization between a drive system unidirectionally coupled with a response system, under the assumption that limited knowledge on the states of the drive is available at the response. Machine-learning techniques have been previously implemented to estimate the states of a dynamical system from limited measurements. We consider situations in which knowledge of the non-measurable states of the drive system is needed in order for the response system to synchronize with the drive. We use a reservoir computer to estimate the non-measurable states of the drive system from its measured states and then employ these measured states to achieve complete synchronization of the response system with the drive.
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