COUNTABLE SET OF LIMIT CYCLES FOR THE EQUATION dw dz = Pn(z,w) Qn(z,w)

    loading  Checking for direct PDF access through Ovid

Abstract

ABSTRACT

Differential equations on the complex plane with a rational right-hand side are considered. In a generic case such equation has a countable set of homologically independent limit cycles. It is proved that the exceptional set – the set of equations such that they do not have this property – has the real codimension at least two in the space of equations with right-hand side of degree no greater than a fixed number n.

Related Topics

    loading  Loading Related Articles