Geodesic
Limiting cycles of piece-linear second order differential equations
Ufa mathematical journal, Tome 6 (2014) no. 1, pp. 80-89

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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 portraits 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 portraits.
Keywords: dynamical systems, non-smoothness, stability, phase plane, limiting cycle. 
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E. M. Mukhamsdiev; I. D. Nurov; M. Sh. Khalilova. Limiting cycles of piece-linear second order differential equations. Ufa mathematical journal, Tome 6 (2014) no. 1, pp. 80-89. http://geodesic.mathdoc.fr/item/UFA_2014_6_1_a7/