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

Adran Ffiseg

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

16 Dyfyniadau (Scopus)

308 Wedi eu Llwytho i Lawr (Pure)

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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.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	52-69
Nifer y tudalennau	18
Cyfnodolyn	Nonlinear Analysis: Theory, Methods & Applications
Cyfrol	67
Rhif cyhoeddi	1
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1016/j.na.2006.04.018
Statws	Cyhoeddwyd - 01 Gorff 2007

Mynediad at Ddogfen

10.1016/j.na.2006.04.018

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

Cysylltiad parhaol

Dolen barhaus

Dyfynnu hyn

@article{5fe3aef45cac46f3aaa054e8c7bfed57,

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.",

year = "2007",

month = jul,

day = "1",

doi = "10.1016/j.na.2006.04.018",

language = "English",

volume = "67",

pages = "52--69",

journal = "Nonlinear Analysis: Theory, Methods \& Applications",

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AU - Lloyd, Noel G.

AU - Pearson, Jane M.

AU - Hill, Joe M.

N1 - Hill, Joe M., Lloyd, Noel G., Pearson, Jane M., 'Algorithmic derivation of isochronicity conditions', Nonlinear Analysis (2007) 67, 52-69.

PY - 2007/7/1

Y1 - 2007/7/1

N2 - 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.

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

U2 - 10.1016/j.na.2006.04.018

DO - 10.1016/j.na.2006.04.018

M3 - Article

SN - 0362-546X

VL - 67

SP - 52

EP - 69

JO - Nonlinear Analysis: Theory, Methods & Applications

JF - Nonlinear Analysis: Theory, Methods & Applications

IS - 1

ER -

Algorithmic derivation of isochronicity conditions

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