Talks and Poster Presentations (with Proceedings-Entry):
A. Steindl:
"Hopf-Takens-Bogdanov interaction for a fluid-conveying tube";
Talk: GAMM 2016,
Braunschweig/DE;
2016-03-07
- 2016-03-11; in: "Proceedings of the annual GAMM meeting",
Proceedings in Applied Mathematics and Mechanics (PAMM) / Wiley-VCH,
(2016),
ISSN: 1617-7061;
293
- 294.
English abstract:
We investigate the dynamics after loss of stability of the downhanging configuration of a fluid conveying tube with a small
end mass and an elastic support.
By varying the fluid flow rate and the stiffness and location of the elastic support, different degenerate bifurcation scenarios
can be observed. In this article we investigate the bifurcating solution branches of the codimension 3 interaction between a
Hopf bifurcation and a Bogdanov-Takens bifurcation.
A complete discussion of the primary and secondary solution branches was already given by W. F. Langford and K. Zhan.
After reducing the system to the three-dimensional Normal Form equations we apply a numerical continuation procedure to
locate the expected higher order bifurcation branches and detect more complicated dynamics, like Shilnikov orbits.
Keywords:
Hopf bifurcation, Resonance, Shilnikov, Mode interaction
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1002/pamm.201610135
Electronic version of the publication:
http://publik.tuwien.ac.at/files/publik_254936.pdf
Created from the Publication Database of the Vienna University of Technology.