Synchronization of Heterogeneous Oscillators by Noninvasive Time-Delayed Cross Coupling

Phys Rev Lett. 2015 Nov 6;115(19):194101. doi: 10.1103/PhysRevLett.115.194101. Epub 2015 Nov 3.

Abstract

We demonstrate that nonidentical systems, in particular, nonlinear oscillators with different time scales, can be synchronized if a mutual coupling via time-delayed control signals is implemented. Each oscillator settles on an unstable state, say a fixed point or an unstable periodic orbit, with a coupling force which vanishes in the long time limit. We present the underlying theoretical considerations and numerical simulations, and, moreover, demonstrate the concept experimentally in nonlinear electronic oscillators.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Computer Simulation
  • Models, Theoretical*
  • Nonlinear Dynamics
  • Periodicity*