the twisting bifurcations of double homoclinic loops with resonant eigenvalues

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ID: 190436
2013
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Abstract
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 bifurcation surfaces is obtained. Finally, the complete bifurcation diagrams and bifurcation curves are also given under different cases. Moreover, the methods adopted in this paper can be extended to a higher dimensional system.
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Authors ;Xiaodong Li;Weipeng Zhang;Fengjie Geng;Jicai Huang
Journal science and technology of advanced materials
Year 2013
DOI
10.1155/2013/152518
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