Centres and limit cycles for an extended Kukles system

Joe M. Hill; Noel G. Lloyd; Jane M. Pearson

Centres and limit cycles for an extended Kukles system

Joe M. Hill, Noel G. Lloyd, Jane M. Pearson

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

29 Wedi eu Llwytho i Lawr (Pure)

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We present conditions for the origin to be a centre for a class of cubic systems. Some of the centre conditions are determined by finding complicated invariant functions. We also investigate the coexistence of fine foci and the simultaneous bifurcation of limit cycles from them.

Iaith wreiddiol	Saesneg
Rhif yr erthygl	119
Tudalennau (o-i)	1-23
Nifer y tudalennau	23
Cyfnodolyn	Electronic Journal of Differential Equations
Cyfrol	2007
Statws	Cyhoeddwyd - 2007

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@article{a31b38654da749b2ba3d2efab2d49cce,

title = "Centres and limit cycles for an extended Kukles system",

abstract = "We present conditions for the origin to be a centre for a class of cubic systems. Some of the centre conditions are determined by finding complicated invariant functions. We also investigate the coexistence of fine foci and the simultaneous bifurcation of limit cycles from them.",

author = "Hill, {Joe M.} and Lloyd, {Noel G.} and Pearson, {Jane M.}",

note = "Hill, Joe M., Lloyd, Noel G., Pearson, Jane M., 'Centres and limit cycles for an extended Kukles system', Electronic Journal of Differential Equations, Vol. 2007(2007), No. 119, pp. 1-23.",

year = "2007",

language = "English",

volume = "2007",

pages = "1--23",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University",

}

TY - JOUR

T1 - Centres and limit cycles for an extended Kukles system

AU - Hill, Joe M.

AU - Lloyd, Noel G.

AU - Pearson, Jane M.

N1 - Hill, Joe M., Lloyd, Noel G., Pearson, Jane M., 'Centres and limit cycles for an extended Kukles system', Electronic Journal of Differential Equations, Vol. 2007(2007), No. 119, pp. 1-23.

PY - 2007

Y1 - 2007

N2 - We present conditions for the origin to be a centre for a class of cubic systems. Some of the centre conditions are determined by finding complicated invariant functions. We also investigate the coexistence of fine foci and the simultaneous bifurcation of limit cycles from them.

AB - We present conditions for the origin to be a centre for a class of cubic systems. Some of the centre conditions are determined by finding complicated invariant functions. We also investigate the coexistence of fine foci and the simultaneous bifurcation of limit cycles from them.

M3 - Article

SN - 1072-6691

VL - 2007

SP - 1

EP - 23

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 119

ER -

Centres and limit cycles for an extended Kukles system

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