Calculation of the Branching Behavior of Nonlinear Equations

Chapter
Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 5)

Abstract

Equipped now with some knowledge about continuation, we assume that we are able to trace branches. We take for granted thatthe entirebranch canbe traced, provided one solution on that branch can be found. In this chapter we address problems of locating bifurcation points and switching branches. Essential ideas and methods needed for a practical bifurcation and stability analysis are presented.

Keywords

Manifold 

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Mathematisches InstitutUniversität zu KölnKölnGermany

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