Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Coefficient conditions for the coexistence of two singular points of summed multiplicity 4 in a finite part of a phase plane of a quadratic system. (Russian)
Authors: Vulpe Nicolae, Nikolaev I. V.
Abstract
We study quadratic systems with two finite rest points of multiplicity $k_1$ and $k_2$, respectively. Under the condition $k_1+k_2=4$, the local behaviour of integral curves near the singularities is determined and the question of their coexistence is tackled by establishing some coefficient criteria. The results attained may be useful in the global analysis of quadratic systems.Contents
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- Parametric completeness in the logic of the simplest pseudo-Boolean algebra with incomparable elements. (Russian)
- Coefficient conditions for the coexistence of two singular points of summed multiplicity 4 in a finite part of a phase plane of a quadratic system. (Russian)
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- Numerical modeling of the process of high-velocity penetration of an obstacle. (Russian)
