Mathematics, 13.03.2020 02:04 korban23
Let X be a recurrent point of a planar system, that is, there is a sequence tn →±[infinity] such that φtn (X) → X. (a) Prove that either X is an equilibrium or X lies on a closed orbit. (b) Show by example that there can be a recurrent point for a nonplanar system that is not an equilibrium and does not lie on a closed orbit.
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Let X be a recurrent point of a planar system, that is, there is a sequence tn →±[infinity] such tha...
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