Titlebook: Nonlinear Differential Equations and Dynamical Systems; Ferdinand Verhulst Textbook 1996Latest edition Springer-Verlag Berlin Heidelberg 1

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Stability by linearisation,pecial 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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Stability analysis by the direct method,eceding chapter. When linearising one starts off with small perturbations of the equilibrium or periodic solution and one studies the effect of these . perturbations. In the so-called direct method one characterises the solution in a way with respect to stability which is not necessarily local.

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978-3-540-60934-6Springer-Verlag Berlin Heidelberg 1996

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Nonlinear Differential Equations and Dynamical Systems978-3-642-61453-8Series ISSN 0172-5939 Series E-ISSN 2191-6675

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https://doi.org/10.1007/978-3-642-61453-8Chaos; averaging methods; bifurcation theory; differential equations; dynamical systems; dynamische Syste

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