Uniqueness of limit cycles for polynomial first-order differential equations
type: Item
instance of: scholarly article
title: Uniqueness of limit cycles for polynomial first-order differential equations
zbMATH Open document ID: 1282.34040
author: N. E. Zubov
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-09-10T00:00:00Z
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 5602705
zbMATH Keywords: limit cycle
zbMATH Keywords: scalar differential equation
zbMATH Keywords: rigid planar vector field
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.06.031
OpenAlex ID: W2022888790
cites work: A new uniqueness criterion for the number of periodic orbits of Abel equations
cites work: Lower bounds for the number of limit cycles of trigonometric Abel equations
cites work: Periodic solutions of Abel differential equations
cites work: Non-autonomous equations related to polynomial two-dimensional systems
cites work: Abel-like differential equations with no periodic solutions
cites work: Q4090690
cites work: Some theorems on the existence, uniqueness, and nonexistence of limit cycles for quadratic systems
cites work: A simple class of quadratic systems
cites work: Word problems related to periodic solutions of a non-autonomous system
cites work: Word problems related to derivatives of the displacement map
cites work: Cubic systems and Abel equations
cites work: Hilbert's 16th problem for quadratic vector fields
cites work: LIMIT CYCLES FOR GENERALIZED ABEL EQUATIONS
cites work: Limit Cycles for a Class of Abel Equations
cites work: Limit cycles for rigid cubic systems
cites work: Q5394864
cites work: Centennial History of Hilbert's 16th Problem
cites work: Limit cycles of planar quadratic differential equations
cites work: On the number of solutions of the equation \(\sum^n_{j=0}a_j(t)x^j,0\leq t\leq 1\), for which \(x(0)=x(1)\)
cites work: Stability of motion
cites work: The number of periodic solutions of polynomial differential equations
cites work: Q5529795
cites work: Existence of closed solutions for a polynomial first order differential equation
DOI: 10.1016/J.JMAA.2009.06.031
description: scientific article; zbMATH DE number 5602705