Limit cycles of a class of Hilbert's sixteenth problem presented by fractional differential equations

Abstract

The second part of Hilbert's sixteenth problem concerned with the existence and number of the limit cycles for planer polynomial differential equations of degree n. In this article after a brief review on previous studies of a particular class of Hilbert's sixteenth problem, we will discuss the existence and the stability of limit cycles of this class in the form of fractional differential equations. Copyright © 2010 G. H. Erjaee et al.