Pages: 57-63
Published: 30.05.2017
Abstract: The study of parametric bifurcations of vector fields is an important problem in the theory of dynamical systems. The present work is devoted to the computer interpretation of qualitative behavior of solutions of a system of singularly perturbed nonlinear autonomous differential equations obtained from the Van der Pol oscillator. The system under consideration has a unique singular point which is of the hyperbolic type. Moreover, that point can be either nodes or foci only. The aim of the present work is to confirm these well-known results on computer.
Key words: singularly perturbed system, singular point, bifurcation.
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