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Padua Thesis and Dissertation Archive
Bachelor thesis
Data sources: Padua Thesis and Dissertation Archive
Claim

Homoclinic chaos and the Poincaré-Melnikov method

descriptionPublicationkeyboard_double_arrow_right Bachelor thesis Italy English
Authors: Azzari, Paride#idabnull;

handle: 20.500.12608/28093

Homoclinic chaos and the Poincaré-Melnikov method

Abstract

In this thesis is to describe the use of the Poincaré-Melnikov method in the detection of homoclinic phenomena, and hence chaotic dynamics. After a short review of the theory of dynamical system, it is introduced the Poincaré-Melnikov method and its extension to the case of heteroclinic orbits. An application of this method is given in the last chapter, where it is shown a case of success and a case of failure in the detection of chaos. Results are confirmed through numerical evidence.

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Italy
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    popularity
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    influence
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green