Invariant Manifolds of Dynamical Systems and an application to Space Exploration
نویسنده
چکیده
In this paper we go over the basics of stable and unstable manifolds associated to the fixed points of a dynamical system. We will start with an overview of stable and unstable sets in general, and then look at some simple examples from linear systems, mostly taken from Proctor (2010). To study some non-linear examples we will use (without proof) the stable manifold theorem and will conclude with an application of these concepts to space exploration following Cain (2003).
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