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Codimension 3 nonresonant bifurcations of homoclinic orbits with two inclination flips

โœ Scribed by Shuliang Shui; Deming Zhu


Book ID
111784619
Publisher
SP Science China Press
Year
2005
Tongue
English
Weight
222 KB
Volume
48
Category
Article
ISSN
1674-7283

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Codimension-3 bifurcations of a class of
โœ Guifeng Deng; Deming Zhu ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 853 KB

In this work, bifurcations in the class that the homoclinic orbit connects the strong stable and strong unstable manifolds of a saddle are investigated for four-dimensional vector fields. The existence, numbers, coexistence and incoexistence of 1-homoclinic orbit, 1-periodic orbit, 2 n -homoclinic o