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Trapped vs. nonwandering points

For a continuous flow on a topological space the concept of a nonwandering point (in forward/backward time) is well-known. Another useful concept (for example from the point of view of scattering ...
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Some equivalent conditions for hyperbolicity of flow

Let $M$ be a manifold and $\phi_t$ be a smooth flow associated to a smooth vector field on $M$. Are the following 3 conditions equivalent? 1)For every fixed $t$ the diffeomorphism $\...
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