A numerical case study about bifurcations of a local attractor in a simple capsizing model

Description

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.

Links & Downloads

1. urn:nbn:de:swb:ch1-200501280
2. https://monarch.qucosa.de/id/qucosa%3A18376
3. https://monarch.qucosa.de/api/qucosa%3A18376/attachment/ATT-0/
4. https://monarch.qucosa.de/api/qucosa%3A18376/attachment/ATT-1/

Tags

info:eu-repo/classification/ddc/510

ddc:510

Simulation

Zufälliges dynamisches System

local attractor

local bifurcation

numerical simulation

random dynamical system

unstable manifold

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:18376
Date	07 October 2005
Creators	Julitz, David
Publisher	Technische Universität Chemnitz
Source Sets	Hochschulschriftenserver (HSSS) der SLUB Dresden
Language	English
Detected Language	English
Type	doc-type:lecture, info:eu-repo/semantics/lecture, doc-type:Text
Rights	info:eu-repo/semantics/openAccess
Relation	urn:nbn:de:swb:ch1-200501214, qucosa:18370