A general class of centers for the Poincare problem

Date

2009, 2009, 2009

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Abstract

We consider the classical Poincare problem of a linear center perturbed by homogeneous polynomials of degree n >= 2. Using certain parity properties of a related differential equation, we develop a technique for obtaining center conditions for an arbitrary value of n and use it to exhibit explicitly new center conditions for n = 4,..., 8. (C) 2009 Elsevier Inc. All rights reserved.

Description

Keywords

Abel differential equation, Center-focus problem, Symmetric centers, polynomial 1st integrals, School of Science and Technology

Citation

URI

https://hdl.handle.net/20.500.14639/827

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