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On periodic orbits of relaxation oscillations - MaRDI portal

On periodic orbits of relaxation oscillations (Q698549)

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scientific article; zbMATH DE number 1803271
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On periodic orbits of relaxation oscillations
scientific article; zbMATH DE number 1803271

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    On periodic orbits of relaxation oscillations (English)
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    9 October 2003
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    Two nonlinear oscillators of relaxation type are studied, namely the singularly perturbed van der Pol oscillator and a Lotka-Volterra system. The aim of this work is to provide descriptions of periodic orbits governed by these equations in terms of two inverse functions of \(x \exp x\).
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    singular perturbation
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    relaxation oscillation
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    periodic orbit
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    van der Pol equation
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    Lotka-Volterra system
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