Invariant algebraic curves linear in one variable for planar real quadratic systems

  • Authors:

  • Javier Chavarriga;Maite Grau

  • Affiliations:

  • Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II, 69, 25001 Lleida, Spain;Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II, 69, 25001 Lleida, Spain

  • Venue:
  • Applied Mathematics and Computation
  • Year:
  • 2003

Quantified Score

Hi-index 0.48

Visualization

Abstract

In this paper we study algebraic solutions of the form h(x,y) = p1(x)y + p2(x), where p1(x) and p2(x) are real coprime polynomials and p1(x) ≠ 0, for a planar real algebraic quadratic system. We analyze the existence of this kind of solutions depending on the coefficients of the system.