A Perturbation Method for Two Synchronously Tuned, Coupled, Autonomous, Nonlinear Oscillators

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Abstract
A perturbation procedure is developed for two synchronously tuned, coupled, autonomous, nonlinear oscillators. The procedure results in ordinary nonlinear differential equations for the slowly varying amplitude envelopes and the slowly varying phase difference of the two oscillators. A method of obtaining initial values is included as are two examples for coupled van der Pol and linear oscillators.
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