Strong isochronicity of the Liénard system
type: Item
instance of: scholarly article
title: Strong isochronicity of the Liénard system
zbMATH Open document ID: 1126.34324
DOI: 10.1134/S0012266106050016
author: V. V. Amelkin
published in: Differential Equations
publication date: 2007-07-05T00:00:00Z
review text: Consider the Liénard system \[ \dot x=- y,\quad \dot y= a(x)- b(x) y,\tag{\(*\)} \] where \(a\) and \(b\) are holomorphic functions given by \[ a(x)= x+\sum^\infty_{i=2} a_i x^i,\quad b(x)= \sum^\infty_{j=1} b_j x^j. \] The author derives conditions on the coefficients \(a_i\) and \(b_i\) which are equivalent for the equilibrium \(x= y= 0\) to be an isochronous center of \((*)\).
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 5170017
reviewed by: Klaus R. Schneider
MaRDI profile type: Publication
cites work: Isochronicity via normal form
cites work: On period functions of Liénard systems
cites work: On the classification of Liénard systems with amplitude-independent periods
cites work: Some properties of planar polynomial systems of even degree
description: scientific article