Display Abstract

Title A new geometrical concept in the finding bifurcations. Generalized Collatz-Wielandt formula

Name Yavdat Ilyasov
Country Russia
Email ilyasov02@gmail.com
Co-Author(s)
Submit Time 2014-03-02 10:36:00
Session
Special Session 33: Bifurcations and asymptotic analysis of solutions of nonlinear models
Contents
We present a method for the finding bifurcations of turning point type for nonlinear equations, including partial differential systems. The method is based on a generalization of the Collatz-Wielandt formula. A number of examples, including system of elliptic and parabolic problems with $p$- Laplacian, will be discussed. In addition, we present a numerical algorithm for the computation of the turning point, which is actually a new geometrical concept in the theory of numerical calculation of the bifurcation points.