A numerical case study about bifurcations of a local attractor in a simple capsizing model
In this article we investigate a pitchfork bifurcation of the local attractor of a simple capsizing model proposed by Thompson. Although this is a very simple system it has a very complicate dynamic. We try to reveal some properties of this dynamic with modern numerical methods. For this reason we a...
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| Format: | Others |
| Language: | English |
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Universitätsbibliothek Chemnitz
2005
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| Online Access: | http://nbn-resolving.de/urn:nbn:de:swb:ch1-200501280 http://nbn-resolving.de/urn:nbn:de:swb:ch1-200501280 http://www.qucosa.de/fileadmin/data/qucosa/documents/5050/data/t_04_ju.pdf http://www.qucosa.de/fileadmin/data/qucosa/documents/5050/20050128.txt |
| Summary: | In this article we investigate a pitchfork bifurcation of the local attractor of
a simple capsizing model proposed by Thompson. Although this is a very simple
system it has a very complicate dynamic. We try to reveal some properties of
this dynamic with modern numerical methods. For this reason we approximate
stable and unstable manifolds which connect the steady states to obtain a complete
understanding of the topology in the phase space. We also consider approximations
of the Lyapunov Exponents (resp. Floquet Exponents) which indicates the pitchfork
bifurcation. |
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