Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation
Dynamical Systems
2017-02-07 v1 Functional Analysis
Abstract
We consider two-parameter bifurcation of equilibrium states of an elastic rod on a deformable foundation. Our main theorem shows that bifurcation occurs if and only if the linearization of our problem has nontrivial solutions. In fact our proof, based on the concept of the Brouwer degree, gives more, namely that from each bifurcation point there branches off a continuum of solutions.
Keywords
Cite
@article{arxiv.1702.01192,
title = {Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation},
author = {Marek Izydorek and Joanna Janczewska and Nils Waterstraat and Anita Zgorzelska},
journal= {arXiv preprint arXiv:1702.01192},
year = {2017}
}
Comments
16 pages, 2 figures