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Erschienen in:
1990 | OriginalPaper | Buchkapitel
Stability by linearisation
verfasst von : Ferdinand Verhulst
Erschienen in: Nonlinear Differential Equations and Dynamical Systems
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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The stability of equilibrium solutions or of periodic solutions can be studied often by analysing the system, linearised in a neighbourhood of these special solutions. In section 5.4 we have discussed linearisation and we have given a summary of the analysis of linear systems. These methods have been in use for a long time but only since around 1900 the justification of linearisation methods has been started by Poincaré and Lyapunov.