Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Cubic systems with seven invariant straight lines of configuration (3,3,1)
Authors: Şubă Alexandru, Vadim Repeşco, Vitalie Puţuntică
Keywords: Cubic diferential system, invariant straight line, phase portrait.
– 0.51 Mb
Keywords: Cubic diferential system, invariant straight line, phase portrait.
Abstract
We classify all cubic differential systems with exactly seven invariant straight lines (taking into account their parallel multiplicity) which form a configuration of type (3,3,1). We prove that there are six different topological classes of such systems. For every class we carried out the qualitative investigation on the Poincaré disc. Some properties of cubic systems with invariant straight lines are given.Alexandru Şubă
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
5 Academiei str., Chişinău
MD−2028, Moldova
E-mail: Vadim Repeşco, Vitalie Puţuntică
Tiraspol State University
5 Ghenadie Iablocikin str., Chişinău,
MD−2069, Moldova
E-mail: ,
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
5 Academiei str., Chişinău
MD−2028, Moldova
E-mail: Vadim Repeşco, Vitalie Puţuntică
Tiraspol State University
5 Ghenadie Iablocikin str., Chişinău,
MD−2069, Moldova
E-mail: ,
Fulltext
– 0.51 Mb
Contents
- Basic cohomology attached to a basic function of foliated manifolds
- Isohedral tilings on Riemann surfaces of genus 2
- Method of construction of topologies on any finite set
- Generators of the algebras of invariants for differential system with homogeneous nonlinearities of odd degree
- On partial inverse operations in the lattice of submodules
- The Generalized Lagrangian Mechanical Systems
- Cubic systems with seven invariant straight lines of configuration (3,3,1)
- The Ricci-flat spaces related to the Navier-Stokes equations
