Journal of East China Normal University(Natural Sc ›› 2009, Vol. 2009 ›› Issue (1): 61-67.

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Stability of homoclinic loops to saddle-focus with higher dimensions (Chinese)

HUANG Xuan1, WANG Li-ying2   

  1. 1. College of Mathematics ＆Physics,Jinggangshan University, Ji’anJiangxi 343009, China; 2. Department of Fundation, Zhangjiakou Vocational and Technical College, ZhangjiakouHebei 075000, China
  • Received:2008-05-23 Revised:2008-07-05 Online:2009-01-25 Published:2009-01-25
  • Contact: HUANG Xuan

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Abstract: By establishing a new stability definition suitable for
the orbit homoclinic to a saddle-focus in a space with dimensions
larger than 3, the stability criterion was given for the homoclinic
orbit to a hyperbolic saddle-focus in a class of higher dimensional
systems.

Key words: saddle-focus, homoclinic loop, first recurrent map, higher dimensional system, saddle-focus, homoclinic loop, first recurrent map

CLC Number: