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

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16 Citations (Scopus)

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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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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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AU - Pearson, Jane M.

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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

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ER -

Algorithmic derivation of isochronicity conditions

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