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Asymptotic Wave Solutions for the Model of a Medium with Van Der Pol Oscillators

Asymptotic Wave Solutions for the Model of a Medium with Van Der Pol Oscillators

A one-dimensional mathematical model for a complex medium with van der Pol oscillators has been studied. Using the Bogolyubov–Mitropolsky method, the wave solutions for a weakly nonlinear model are derived, with their amplitudes being described by a three-dimensional dynamical system analyzed in more details by numerical and qualitative methods. In …