HOMOCLINIC CYCLES OF A QUADRATIC SYSTEM DESCRIBED BY QUARTIC CURVES

HOMOCLINIC CYCLES OF A QUADRATIC SYSTEM DESCRIBED BY QUARTIC CURVES

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摘要 This paper is devoted to discussing the topological classification of the quartic invariant algebraic curves for a quadratic system. We obtain sufficient and necessary conditions which ensure that the homoclinic cycle of the system is defined by the quartic invariant algebraic curve. Finally, the corresponding global phase diagrams are drawn. This paper is devoted to discussing the topological classification of the quartic invariant algebraic curves for a quadratic system. We obtain sufficient and necessary conditions which ensure that the homoclinic cycle of the system is defined by the quartic invariant algebraic curve. Finally, the corresponding global phase diagrams are drawn.

作者 Xuepeng Li, Meihua Huang (School of Math. and Computer Science, Fujian Normal University, Fuzhou 350007)

出处《Annals of Differential Equations》 2009年第4期397-406,共10页 微分方程年刊（英文版）

关键词 quadratic system algebra invariant HOMOCLINIC quadratic system algebra invariant homoclinic

分类号 O189.2 [理学—基础数学]

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Annals of Differential Equations

2009年第4期

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HOMOCLINIC CYCLES OF A QUADRATIC SYSTEM DESCRIBED BY QUARTIC CURVES

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