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Melnikov’s Method for Homoclinic and Heteroclinic Orbits

Wielink, G. (2017) Melnikov’s Method for Homoclinic and Heteroclinic Orbits. Bachelor's Thesis, Mathematics.

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A certain class of dynamical systems, which contain fixed points connected by homoclinic or heteroclinic orbits can show chaotic dynamics when subjected to a time periodic perturbation. Melnikov developed a method to predict such behaviour based on the Melnikov function whose zeros correspond to transversal intersections implying chaotic dynamics. The method is described and applied to two cases of the Duffing oscillator.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 08:26
Last Modified: 15 Feb 2018 08:26

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