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Homoclinic Bifurcation Properties near Eight-figure Homoclinic Orbit

Homoclinic Bifurcation Properties near Eight-figure Homoclinic Orbit
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摘要 In this paper we investigate the homoclinic bifurcation properties near an eight-figure homoclinic orbit of co-dimension two of a planar dynamical system. The corresponding local bifurcation diagram is also illustrated by numerical computation. In this paper we investigate the homoclinic bifurcation properties near an eight-figure homoclinic orbit of co-dimension two of a planar dynamical system. The corresponding local bifurcation diagram is also illustrated by numerical computation.
作者 邹永魁 佘彦
出处 《Northeastern Mathematical Journal》 CSCD 2002年第1期79-88,共10页 东北数学(英文版)
基金 The NSFC (10071030) of China The Volkswagen Foundation of Germany The Project-sponsored by SRP for ROCS, SEM (2002).
关键词 eight figure homoclinic orbit BIFURCATION turning point eight figure homoclinic orbit, bifurcation, turning point
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参考文献3

  • 1D. K. Arrowsmith,C. M. Place.Bifurcations at a cusp singularity with applications[J].Acta Applicandae Mathematicae.1984(2)
  • 2Zou,Y. K. and Beyn,W. J.On manifolds of connecting orbits in discretizations ofdynamical systems, To appear in Nonl[].Analysis.2002
  • 3Wiggins,S.Global Bifurcation and Chaos (Analytical Methods)[]..1988

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