Limit Cycles of a Class of Hilbert's Sixteenth Problem Presented by Fractional Differential Equations

Advances in Difference Equations

N. Nyamoradi¹  G.H. Erjaee²  H.R.Z. Zangeneh³ 

[1] Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran;Mathematics Department, Qatar University, Doha, Qatar;Mathematics Department, Shiraz University, Shiraz, Iran

关键词: Fractional Order;    Fractional Derivative;    Fractional Calculus;    Fractional Differential Equation;    Fractal Function;   

DOI  :  10.1155/2010/938180

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY