Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Cubic differential systems with two affine real non-parallel invariant straight lines of maximal multiplicity
Authors: Vacaraş Olga
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Abstract
In this article we classify all differential real cubic systems possessing two affine real non-parallel invariant straight lines of maximal multiplicity. We show that the maximal multiplicity of each of these lines is at most three. The maximal sequences of multiplicities: $m(3,3;1)$, $m(3,2;2)$, $m(3,1;3)$, $m(2,2;3)$, $m_{\infty}(2,1;3)$, $m_{\infty}(1,1;3)$ are determined. The normal forms and the corresponding perturbations of the cubic systems which realize these cases are given.Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
5 Academiei str., Chisinau, MD 2028
Moldova
E-mail:
Academy of Sciences of Moldova
5 Academiei str., Chisinau, MD 2028
Moldova
E-mail:
Fulltext
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Contents
- On certain subclasses of analytic functions associated with generalized struve functions
- Rational bases of GL(2, R)-comitants and of GL(2, R)-invariants for the planar system of differential equations with nonlinearities of the fourth degree
- Certain classes of p-valent analytic functions with negative coefficients and (lambda,p)-starlike with respect to certain points
- Third Hankel determinant for the inverse of reciprocal of bounded turning functions
- Generating Cubic Equations as a Method for Public Encryption
- Determining the Distribution of the Duration of Stationary Games for Zero-Order Markov Processes with Final Sequence of States
- Cubic differential systems with two affine real non-parallel invariant straight lines of maximal multiplicity
- A Parametric Scheme for Online Uniform-Machine Scheduling to Minimize the Makespan
- On the absence of finite approximation relative to model completeness in propositional provability logic
- Alexei Cașu (Kashu). On his 75th Anniversary.
