CUBIC DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS AND A REAL INVARIANT STRAIGHT LINE OF MAXIMAL ALGEBRAIC MULTIPLICITY
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Keywords

cubic differential system
invariant straight line
algebraic multiplicity
center problem.

How to Cite

ŞUBĂ, A., & TURUTA, S. (2019). CUBIC DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS AND A REAL INVARIANT STRAIGHT LINE OF MAXIMAL ALGEBRAIC MULTIPLICITY . Acta Et Commentationes Exact and Natural Sciences, 4(2), 119-130. https://doi.org/10.36120/2587-3644.v4i2.119-130

Abstract

In this article, we show that in the set of all cubic systems of differential equations with a weak focus the maximal algebraic multiplicity of an invariant affine and real straight line is four. There are three classes of these systems. For each of these classes the problem of center is solved.

https://doi.org/10.36120/2587-3644.v4i2.119-130
pdf (Русский)
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