Perturbation methods and the Melnikov functions for slowly varying oscillators (Q2483603)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbation methods and the Melnikov functions for slowly varying oscillators |
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Perturbation methods and the Melnikov functions for slowly varying oscillators (English)
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25 July 2005
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A new approach based on the Lindstedt-Poincaré method is proposed to obtain the Melnikov function for homoclinic orbits in slowly varying oscillators. The goal of the authors is to show that without dealing explicitly with the complicated geometry related to the three-dimensional distance measured in a Poincaré section, the same Melnikov function can be derived by using the Lindstedt-Poincaré method.
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Melnikov function
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perturbation method
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slowly varying oscillator
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Lindstedt-Poincaré method
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Poincaré section
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homoclinic orbits
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