Lag and anticipating synchronization without time-delay coupling.
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.
Corron
Ned J
NJ
U. S. Army RDECOM, AMSRD-AMR-WS-ST, Redstone Arsenal, AL 35898, USA.
Blakely
Jonathan N
JN
Pethel
Shawn D
SD
D015233:Models, Statistical; D017711:Nonlinear Dynamics; D009991:Oscillometry; D010825:Physics / Q000379:methods*; D013598:Systems Theory; D013997:Time Factors