The Twisting Bifurcations of Double Homoclinic Loops with Resonant Eigenvalues

The twisting bifurcations of double homoclinic loops with resonant eigenvalues are investigated in four-dimensional systems. The coexistence or noncoexistence of large 1-homoclinic orbit and large 1-periodic orbit near double homoclinic loops is given. The existence or nonexistence of saddle-node bi...

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Bibliographic Details
Main Authors: Xiaodong Li, Weipeng Zhang, Fengjie Geng, Jicai Huang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/152518