Abstract
When studying dynamical systems, defined by differential equations or maps, a basic approach is to locate and to characterise the classical ingredients of such systems. These ingredients are critical points (equilibrium solutions), periodic solutions, invariant manifolds (in particular tori containing quasi-periodic solutions), homoclinics, heteroclinics and in general stable and unstable manifolds emanating from special solutions. As the theory is complex and still in development we will give a more open-ended discussion than in other chapters of our toolbox.
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Verhulst, F. (2023). Quasi-Periodic Solutions and Tori. In: A Toolbox of Averaging Theorems. Surveys and Tutorials in the Applied Mathematical Sciences, vol 12. Springer, Cham. https://doi.org/10.1007/978-3-031-34515-9_9
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DOI: https://doi.org/10.1007/978-3-031-34515-9_9
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