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Codimension 3 Nontwisted Double Homoclinic Loops Bifurcations with Resonant Eigenvalues

✍ Scribed by Weipeng Zhang; Deming Zhu; Dan Liu

Publisher
Springer US
Year
2008
Tongue
English
Weight
616 KB
Volume
20
Category
Article
ISSN
1040-7294

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πŸ“œ SIMILAR VOLUMES

Codimension-3 bifurcations of a class of
Codimension-3 bifurcations of a class of homoclinic loop with saddle-point
✍ Guifeng Deng; Deming Zhu πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 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