### Abstract

Two-dimensional systems x=P(x, y), y=Q(x,y) in which P and Q are cubic polynomials, are considered, and a number of classes with several limit cycles are described. Examples of systems with six small-amplitude limit cycles are given. Other classes of systems with several limit cycles are obtained by considering simultaneous bifurcation from a finite critical point and infinity. Simultaneous bifurcation from several critical points is investigated.

Original language | English (US) |
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Article number | 008 |

Pages (from-to) | 653-669 |

Number of pages | 17 |

Journal | Nonlinearity |

Volume | 1 |

Issue number | 4 |

DOIs | |

State | Published - Dec 1 1988 |

Externally published | Yes |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics

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## Cite this

Lloyd, N. G., Blows, T. R., & Kalenge, M. C. (1988). Some cubic systems with several limit cycles.

*Nonlinearity*,*1*(4), 653-669. [008]. https://doi.org/10.1088/0951-7715/1/4/008