TITLE

Degenerate Orbit Flip Homoclinic Bifurcations with Higher Dimensions

AUTHOR(S)
Wu, Ran Chao; Sun, Jian Hua
PUB. DATE
October 2006
SOURCE
Acta Mathematica Sinica;Oct2006, Vol. 22 Issue 6, p1651
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Bifurcations of a degenerate homoclinic orbit with orbit flip in high dimensional system are studied. By establishing a local coordinate system and a Poincaré map near the homoclinic orbit, the existence and uniqueness of 1–homoclinic orbit and 1–periodic orbit are given. Also considered is the existence of 2–homoclinic orbit and 2–periodic orbit. In additon, the corresponding bifurcation surfaces are given.
ACCESSION #
22615814

 

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