Synchronizing chaos using reservoir computing.

Amirhossein Nazerian, Chad Nathe, Joseph D Hart, Francesco Sorrentino
Author Information
  1. Amirhossein Nazerian: Mechanical Engineering Department, University of New Mexico, Albuquerque, New Mexico 87131, USA. ORCID
  2. Chad Nathe: Mechanical Engineering Department, University of New Mexico, Albuquerque, New Mexico 87131, USA. ORCID
  3. Joseph D Hart: US Naval Research Laboratory, Washington, DC 20375, USA. ORCID
  4. Francesco Sorrentino: Mechanical Engineering Department, University of New Mexico, Albuquerque, New Mexico 87131, USA. ORCID

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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Grants

  1. R21 EB028489/NIBIB NIH HHS