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)

385 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

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",

issn = "0362-546X",

publisher = "Elsevier",

number = "1",

}

TY - JOUR

T1 - Algorithmic derivation of isochronicity conditions

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

Crynodeb

Mynediad at Ddogfen

Cysylltiad parhaol

Ôl bys

Dyfynnu hyn