Algorithmic derivation of isochronicity conditions


Autoria(s): Lloyd, Noel G.; Pearson, Jane M.; Hill, Joe M.
Contribuinte(s)

Institute of Mathematics & Physics (ADT)

Vice-Chancellor's Office

Mathematics and Physics

Data(s)

07/11/2008

07/11/2008

01/07/2007

Resumo

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

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.

Peer reviewed

Formato

18

Identificador

Lloyd , N G , Pearson , J M & Hill , J M 2007 , ' Algorithmic derivation of isochronicity conditions ' Nonlinear Analysis: Theory, Methods & Applications , vol 67 , no. 1 , pp. 52-69 . DOI: 10.1016/j.na.2006.04.018

0362-546X

PURE: 83249

PURE UUID: 5fe3aef4-5cac-46f3-aaa0-54e8c7bfed57

dspace: 2160/883

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

http://dx.doi.org/10.1016/j.na.2006.04.018

Idioma(s)

eng

Relação

Nonlinear Analysis: Theory, Methods & Applications

Palavras-Chave #Differential equations #Isochronous centres
Tipo

/dk/atira/pure/researchoutput/researchoutputtypes/contributiontojournal/article

Direitos