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Coexisting Isochronous and Nonisochronous Centres
Author(s) -
Devlin J.
Publication year - 1996
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/28.5.495
Subject(s) - mathematics , conjecture , construct (python library) , planar , polynomial , pure mathematics , mathematical analysis , computer science , computer graphics (images) , programming language
A new condition is given for a planar polynomial system to have an isochronous centre. This is used to construct a system with a rational first integral and coexisting isochronous and nonisochronous centres, thus settling a recent conjecture that no such systems exist.