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Lag and anticipating synchronization without time-delay coupling.

Ned J Corron·Jonathan N Blakely·Shawn D Pethel
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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.

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Models, StatisticalNonlinear DynamicsOscillometryPhysicsSystems TheoryTime FactorsJournal ArticleResearch Support, U.S. Gov't, Non-P.H.S.

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Ned J Corron, Jonathan N Blakely, Shawn D Pethel. 2005. Lag and anticipating synchronization without time-delay coupling.. https://doi.org/10.1063/1.1898597

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