Abstract
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.
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© 1996 Springer-Verlag Berlin Heidelberg
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Verhulst, F. (1996). Stability analysis by the direct method. In: Nonlinear Differential Equations and Dynamical Systems. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61453-8_8
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DOI: https://doi.org/10.1007/978-3-642-61453-8_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60934-6
Online ISBN: 978-3-642-61453-8
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