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Erschienen in:
1990 | OriginalPaper | Buchkapitel
Stability analysis by the direct method
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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In this chapter we shall discuss a method for studying the stability of a solution, which is very different from the method of linearisation of the preceding chapter. When linearising one starts off with small perturbations of the equilibrium or periodic solution and one studies the effect of these local perturbations. In the so-called direct method one characterises the solution in a way with respect to stability which is not necessarily local.