Article
Ufa Mathematical Journal
Volume 6, Number 1, pp. 80-89
Limiting cycles of piece-linear second order differential equations
Halilova M.Sh., Mukhamadiev E.M., Nurov I.D.
DOI:10.13108/2014-6-1-80
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The work is devoted to finding limiting cycles in a vicinity of equilibria of non-smooth dynamical systems. We obtain new phase diagrams not appearing in a linear case. We employ the method of gluing solutions in two half-planes. Together with using standard packages, we develop a new program package for numerical construction of phase diagrams.