Abstract
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.
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© 1990 Springer-Verlag Berlin Heidelberg
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Verhulst, F. (1990). Stability by linearisation. In: Nonlinear Differential Equations and Dynamical Systems. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97149-5_7
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DOI: https://doi.org/10.1007/978-3-642-97149-5_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50628-7
Online ISBN: 978-3-642-97149-5
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