✦ LIBER ✦

About a conjecture on quadratic vector fields

✍ Scribed by Jean Moulin Ollagnier

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 85 KB
Volume: 165
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(00)00177-8

No coin nor oath required. For personal study only.

✦ Synopsis

The Lotka-Volterra system of autonomous di erential equations consists in three homogeneous polynomial equations of degree 2 in three variables. This system, or the corresponding vector ÿeld LV (A; B; C), depends on three non-zero (complex) parameters and may be written as LV (A; B; C) = Vx@x + Vy@y + Vz@z where Vx = x(Cy + z); Vy = y(Az + x); Vz = z(Bx + y):

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