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Erschienen in:
1988 | OriginalPaper | Buchkapitel
Dynamical Stability and Bifurcation in B-Spaces
verfasst von : Eberhard Zeidler
Erschienen in: Nonlinear Functional Analysis and its Applications
Verlag: Springer New York
Enthalten in: Professional Book Archive
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Because of its great importance for science and numerical analysis, stability questions have been discussed already in a number of chapters of this volume and the three previous ones. In the present chapter we examine the following two important principles: (L)Linearization principle. The nonlinear differential equation has locally the same stability properties as the linearized differential equation.(B)Bifurcation principle. Loss of stability of an equilibrium point leads to bifurcation.