Five limit cycles for a simple cubic system.

Noel G. Lloyd; Jane M. Pearson

Publicacions Matemàtiques (1997)

  • Volume: 41, Issue: 1, page 199-208
  • ISSN: 0214-1493

Abstract

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We resolve the centre-focus problem for a specific class of cubic systems and determine the number of limit cycles which can bifurcate from a fine focus. We also describe the methods which we have developed to investigate these questions in general. These involve extensive use of Computer Algebra; we have chosen to use REDUCE.

How to cite

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Lloyd, Noel G., and Pearson, Jane M.. "Five limit cycles for a simple cubic system.." Publicacions Matemàtiques 41.1 (1997): 199-208. <http://eudml.org/doc/41280>.

@article{Lloyd1997,
abstract = {We resolve the centre-focus problem for a specific class of cubic systems and determine the number of limit cycles which can bifurcate from a fine focus. We also describe the methods which we have developed to investigate these questions in general. These involve extensive use of Computer Algebra; we have chosen to use REDUCE.},
author = {Lloyd, Noel G., Pearson, Jane M.},
journal = {Publicacions Matemàtiques},
keywords = {Formas cuadráticas; Campos vectoriales; Sistemas diferenciales; Ciclos límite; Teoría de bifurcación; Liénard-type system; fine focus; Lyapunov quantities; five limit cycles},
language = {eng},
number = {1},
pages = {199-208},
title = {Five limit cycles for a simple cubic system.},
url = {http://eudml.org/doc/41280},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Lloyd, Noel G.
AU - Pearson, Jane M.
TI - Five limit cycles for a simple cubic system.
JO - Publicacions Matemàtiques
PY - 1997
VL - 41
IS - 1
SP - 199
EP - 208
AB - We resolve the centre-focus problem for a specific class of cubic systems and determine the number of limit cycles which can bifurcate from a fine focus. We also describe the methods which we have developed to investigate these questions in general. These involve extensive use of Computer Algebra; we have chosen to use REDUCE.
LA - eng
KW - Formas cuadráticas; Campos vectoriales; Sistemas diferenciales; Ciclos límite; Teoría de bifurcación; Liénard-type system; fine focus; Lyapunov quantities; five limit cycles
UR - http://eudml.org/doc/41280
ER -

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