BIFURCATIONS OF HOMOCLINIC ORBIT CONNECTING TWO NONLEADING EIGENDIRECTIONS
2007 ◽
Vol 17
(03)
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pp. 823-836
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Keyword(s):
Bifurcations of homoclinic orbit connecting the strong stable and strong unstable directions are investigated for four-dimensional system. The existence, numbers, co-existence and incoexistence of 1-homoclinic orbit, 2n-homoclinic orbit, 1-periodic orbit and 2n-periodic orbit are obtained, and the bifurcation surfaces (including codimension-1 homoclinic bifurcation surfaces, double periodic orbit bifurcation surfaces, homoclinic-doubling bifurcation surfaces, period-doubling bifurcation surfaces and codimension-2 triple periodic orbit bifurcation surface, and homoclinic and double periodic orbit bifurcation surface) and the existence regions are also located.
2004 ◽
Vol 14
(12)
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pp. 4161-4175
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Keyword(s):
2000 ◽
Vol 10
(06)
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pp. 1497-1508
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2008 ◽
Vol 18
(12)
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pp. 3689-3701
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Keyword(s):
2012 ◽
Vol 22
(02)
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pp. 1250022
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Keyword(s):