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Showing 1 to 4 of 4 for “"Smale Flows"”.
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Smale Flows on Three Dimensional Manifolds
We discuss how to realize simple Smale Flows on 3-manifolds. We focus on three questions: (1) What are the topological conjugate classes of Lorenz Smale flows that can be realized on <italic>S<super>3</super></italic>? (2) Which 3-manifolds can also admit a Lorenz Smale flow? (3) What are the …
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Realizations of simple Smale flows on three-manifolds
… dissertation, we discuss how to realize simple Smale flows on 3-manifolds. We use four-band and three-band templates to study the linking structure of two types of closed orbits known as attracting closed orbits and repelling closed orbits in the flow. This dissertation extends the work done by …
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A Classification of Kupka-Smale Flows on the Torus
… up to topological equivalence of those flows on the torus satisfying: (1) all singular points and closed orbits are hyperbolic; and (2) there are no saddle connections. Such flows are known as Kupka-Smale flows. In the process of generating invariants for the classification a qualitative …
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A ZETA FUNCTION FOR FLOWS WITH L(−1,−1) TEMPLATE
In this dissertation, we study the flows on R3 associated with a nonlinear system differential equation introduced by Clark Robinson in [46]. The periodic orbits are modeled by a semi-flow on the L(−1,−1) template. It is known that these are positive knots, but need not have positive braid …