Abstract
Basic concepts for dynamical systems are introduced. The Poincaré–Bendixson theorem is proved and used to study the existence and orbital stability of periodic solutions for planar equations. Invariant manifolds for n-dimensional nonlinear equations are investigated.
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Kong, Q. (2014). Dynamical Systems and Planar Autonomous Equations. In: A Short Course in Ordinary Differential Equations. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-11239-8_4
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DOI: https://doi.org/10.1007/978-3-319-11239-8_4
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