Normal forms of polynomial differential systems in R3 having at least three invariant algebraic surfaces.

Autor: Khajoei, Najmeh, Molaei, Mohammad Reza
Zdroj: Rendiconti del Circolo Matematico di Palermo (Series 2); Aug2021, Vol. 70 Issue 2, p1023-1035, 13p
Abstrakt: In this paper, we find the normal forms of polynomial differential systems in R 3 which have at least three invariant algebraic surfaces. Also, we deduce the normal forms of polynomial differential systems in R 3 having a parabolic cylinder with the equation P : y 2 - z , or having a hyperbolic parabolic with the equation H : x 2 - y 2 - z as invariant objects. The conditions to find a lower bound for the number of invariant algebraic curves for the deduced systems are obtained. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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