Cambio de Trayectoria en Puntos Críticos Basado en Aproximaciones Asintóticas Cuadráticas

Abstract

The present work shows how to use known results from the general theory of elastic stability of discrete systems, for switching paths in bifurcation problems.
Second order asintotic approximations are considered leading to a robust algorithm, allowing relative large steps. Some examples are consideres showing the performance of the approximations used.