Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation

Autor:	Izydorek, Marek, Janczewska, Joanna, Waterstraat, Nils, Zgorzelska, Anita
Rok vydání:	2017
Předmět:	Mathematics - Dynamical Systems Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	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. Comment: 16 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1702.01192 Zobrazit plný text záznamu View this record from Arxiv