CENTER CONDITIONS FOR A CUBIC DIFFERENTIAL SYSTEM WITH TWO INVARIANT STRAIGHT LINES AND ONE INVARIANT ELLIPTIC CURVE
pdf (Русский)

Keywords

cubic differential system
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

https://doi.org/10.36120/2587-3644.v4i2.60-69
pdf (Русский)
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.