A High-Order Melnikov Method for Heteroclinic Orbits in Planar Vector Fields and Heteroclinic Persisting Perturbations
This work extends the high-order Melnikov method established by FJ Chen and QD Wang to heteroclinic orbits, and it is used to prove, under a certain class of perturbations, the heteroclinic orbit in a planar vector field that remains unbroken. Perturbations which have this property together form the...
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Main Author: | Yi Zhong |
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Format: | Article |
Language: | English |
Published: |
Wiley
2021-01-01
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Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/2021/5140694 |
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