Lag and anticipating synchronization without time-delay coupling

Chaos. 2005 Jun;15(2):23110. doi: 10.1063/1.1898597.

Abstract

We describe a new method for achieving approximate lag and anticipating synchronization in unidirectionally coupled chaotic oscillators. The method uses a specific parameter mismatch between the drive and response that is a first-order approximation to true time-delay coupling. As a result, an adjustable lag or anticipation effect can be achieved without the need for a variable delay line, making the method simpler and more economical to implement in many physical systems. We present a stability analysis, demonstrate the method numerically, and report experimental observation of the effect in radio-frequency electronic oscillators. In the circuit experiments, both lag and anticipation are controlled by tuning a single capacitor in the response oscillator.

Publication types

  • Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

  • Models, Statistical
  • Nonlinear Dynamics
  • Oscillometry
  • Physics / methods*
  • Systems Theory
  • Time Factors