Some remarks on the Melnikov function
We study the Melnikov function associated with a periodic perturbation of a differential equation having a homoclinic orbit. Our main interest is the characterization of perturbations that give rise to vanishing or non-vanishing of the Melnikov function. For this purpose we show that, in some cases,...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2002-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/13/abstr.html |