Algorithmic derivation of isochronicity conditions

Noel G. Lloyd; Jane M. Pearson; Joe M. Hill

doi:10.1016/j.na.2006.04.018

Algorithmic derivation of isochronicity conditions

Noel G. Lloyd
, Jane M. Pearson
, Joe M. Hill

Department of Physics

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

406 Downloads (Pure)

Abstract

This paper is concerned with obtaining the conditions under which the origin is an isochronous centre for certain planar polynomial systems. The necessity of these conditions is proved using a computer implementation of an algorithm first proposed by I.I.Pleshkan. Their sufficiency is then proved using various methods.

Original language	English
Pages (from-to)	52-69
Number of pages	18
Journal	Nonlinear Analysis: Theory, Methods & Applications
Volume	67
Issue number	1
DOIs	https://doi.org/10.1016/j.na.2006.04.018
Publication status	Published - 01 Jul 2007

Keywords

Differential equations
Isochronous centres

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10.1016/j.na.2006.04.018

http://hdl.handle.net/2160/883

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title = "Algorithmic derivation of isochronicity conditions",

abstract = "This paper is concerned with obtaining the conditions under which the origin is an isochronous centre for certain planar polynomial systems. The necessity of these conditions is proved using a computer implementation of an algorithm first proposed by I.I.Pleshkan. Their sufficiency is then proved using various methods.",

keywords = "Differential equations, Isochronous centres",

author = "Lloyd, \{Noel G.\} and Pearson, \{Jane M.\} and Hill, \{Joe M.\}",

note = "Hill, Joe M., Lloyd, Noel G., Pearson, Jane M., 'Algorithmic derivation of isochronicity conditions', Nonlinear Analysis (2007) 67, 52-69.",

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AB - This paper is concerned with obtaining the conditions under which the origin is an isochronous centre for certain planar polynomial systems. The necessity of these conditions is proved using a computer implementation of an algorithm first proposed by I.I.Pleshkan. Their sufficiency is then proved using various methods.

KW - Differential equations

KW - Isochronous centres

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DO - 10.1016/j.na.2006.04.018

M3 - Article

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JF - Nonlinear Analysis: Theory, Methods & Applications

IS - 1

ER -

Algorithmic derivation of isochronicity conditions

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