Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation
| العنوان: | Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation |
|---|---|
| المؤلفون: | Nils Waterstraat, Joanna Janczewska, Anita Zgorzelska, Marek Izydorek |
| المصدر: | Nonlinear Analysis: Real World Applications. 39:451-463 |
| بيانات النشر: | Elsevier BV, 2018. |
| سنة النشر: | 2018 |
| مصطلحات موضوعية: | QA801, Saddle-node bifurcation, Dynamical Systems (math.DS), 01 natural sciences, Bifurcation theory, Transcritical bifurcation, QA372, Linearization, FOS: Mathematics, Calculus, QA299, Mathematics - Dynamical Systems, 0101 mathematics, Nonlinear Sciences::Pattern Formation and Solitons, Bifurcation, Mathematics, Continuum (measurement), Degree (graph theory), Applied Mathematics, 010102 general mathematics, Mathematical analysis, General Engineering, General Medicine, Functional Analysis (math.FA), Mathematics - Functional Analysis, 010101 applied mathematics, Computational Mathematics, Buckling, General Economics, Econometrics and Finance, Analysis |
| الوصف: | 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. 16 pages, 2 figures |
| وصف الملف: | application/pdf |
| تدمد: | 1468-1218 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85fa2a7f0ee9a3ef0086f96b0ee57110 https://doi.org/10.1016/j.nonrwa.2017.07.008 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....85fa2a7f0ee9a3ef0086f96b0ee57110 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 14681218 |
|---|