Supplementary Files
Keywords
cubic differential system
invariant algebraic curves
the problem of the center
invariant algebraic curves
the problem of the center
How to Cite
COZMA, D., & MATEI, A. (2019). CENTER CONDITIONS FOR A CUBIC DIFFERENTIAL SYSTEM WITH TWO INVARIANT STRAIGHT LINES AND ONE INVARIANT ELLIPTIC CURVE . Acta Et Commentationes Exact and Natural Sciences, 4(2), 60-69. https://doi.org/10.36120/2587-3644.v4i2.60-69
Abstract
For a cubic differential system with a singular point of a center or a focus type having two invariant straight lines one invariant elliptic cubic curve it was proved that a singular point is a center if and only if the first two Lyapunov quantities at this point vanish. There were obtained five sets of conditions for a singular point to be a center
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