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Since the flow on the attracting slow manifold (S^{a}_{varepsilon }) and the saddle slow manifold (S^{s}_{varepsilon }), for ε small enough, is diffeomorphic to that on (S^{a}) and (S^{s}), respectively, we use the nature of the slow flow on the respective parts of the critical manifold shown in Fig. 1 as a guide for selecting families of orbit segments that represent the slow manifolds.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com