On the center conditions of certain cubic systems-Reference-Cited by-同舟云学术

On the center conditions of certain cubic systems

Published:1998 Issue:11 Volume:126 Page:3335-3336
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Alwash M.

Abstract

This paper provides a new simple proof of a recent result by C. B. Collins (Differential and Integral Equations 10 (1997), 333–356) to derive the center conditions for a class of planar cubic systems. The idea is to consider periodic solutions of a related scalar non-autonomous equation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-11/S0002-9939-98-04715-7/S0002-9939-98-04715-7.pdf

Reference2 articles.

1. Nonautonomous equations related to polynomial two-dimensional systems;Alwash, M. A. M.;Proc. Roy. Soc. Edinburgh Sect. A,1987

2. [2] C.B. Collins, Conditions for a center in a simple class of cubic system, Differential and Integral Equations, 10(2)(1997), 333-356.

Cited by 19 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Rigid Polynomial Differential Systems with Homogeneous Nonlinearities;Mathematics;2024-09-11

2. Uniformly Isochronous Quartic Systems;Qualitative Theory of Dynamical Systems;2020-01-17

3. RESEARCH ON THE COMPOSITION CENTER OF A CLASS OF RIGID DIFFERENTIAL SYSTEMS;Journal of Applied Analysis & Computation;2020

4. On the Composition Center for a Class of Rigid System;Bulletin of the Brazilian Mathematical Society, New Series;2019-05-04

5. On the Center-Focus Problem for a Family of High-Order Polynomial Differential Systems;Journal of Dynamics and Differential Equations;2019-02-21