Bifurcations of Nontwisted Heteroclinic Loop with Resonant Eigenvalues
By using the foundational solutions of the linear variational equation of the unperturbed system along the heteroclinic orbits to establish the local coordinate systems in the small tubular neighborhoods of the heteroclinic orbits, we study the bifurcation problems of nontwisted heteroclinic loop wi...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/716082 |
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| Summary: | By using the foundational solutions of the linear variational equation of the unperturbed system along the heteroclinic orbits to establish the local
coordinate systems in the small tubular neighborhoods of the
heteroclinic orbits, we study the bifurcation problems of
nontwisted heteroclinic loop with resonant eigenvalues. The
existence, numbers, and existence regions of 1-heteroclinic loop,
1-homoclinic loop, 1-periodic orbit, 2-fold 1-periodic orbit, and two
1-periodic orbits are obtained. Meanwhile, we give the
corresponding bifurcation surfaces. |
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| ISSN: | 2356-6140 1537-744X |