Dynamical Stability and Bifurcation in B-Spaces

Eberhard Zeidler
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Eberhard Zeidler: Max-Planck-Institut für Mathematik in den Naturwissenschaften

Chapter Chapter 79 in Nonlinear Functional Analysis and its Applications, 1988, pp 840-882 from Springer

Abstract: Abstract 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.

Keywords: Periodic Solution; Equilibrium Point; Hopf Bifurcation; Dynamical Stability; Fredholm Operator (search for similar items in EconPapers)
Date: 1988
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DOI: 10.1007/978-1-4612-4566-7_23

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