Evaluation of limit and bifurcation points for algebraic equations and nonlinear boundary-value problems

摘要

A general, straightforward method for finding branching points of algebraical systems or nonlinear boundary-value problems is presented. The technique proposed utilizes two modifications of Newton's method and the variational differential equations used in the GPM technique. One modification serves for estimation of limit points, the second for calculation of bifurcation points. Only real bifurcation points are considered.