Qualitative Investigation of Discontinuous Dynamical Systems on a Plane by the Method of Pointwise Mappings
For two-dimensional discontinuous dynamical systems, we investigate properties of the Poincaré map by the method of pointwise mappings and establish a criterion for the stability of n-impulse cycles and an estimate for the number of sinks.
English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 1, pp 135-147.
Citation Example: Urmanchev V. I. Qualitative Investigation of Discontinuous Dynamical Systems on a Plane by the Method of Pointwise Mappings // Ukr. Mat. Zh. - 2004. - 56, № 1. - pp. 108-118.