Article
Ufa Mathematical Journal
Volume 9, Number 4, pp. 3-11
Existence tests for limiting cycles of second order differential equations
Arabov M.K., Mukhamadiev E.M., Nurov I.D., Sobirov H.I.
DOI:10.13108/2017-9-4-3
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This article takes
consideration into the discovery of the limiting cycles in neighborhood
of stationary point of the non - smooth second order differential equation. New conditions are found for coefficient of the equation
which ensure the existence of a limiting cycle.
On the basis of taken results was made sector division in a plane.
Created a package of programs for drawing phase portraits in appropriate sectors.