On the Continuation of Invariant Sets of a Flow
نویسنده
چکیده
One step towards understanding the structure of a flow involves describing the behavior of orbits near selected invariant sets ; particularly that behavior common to all nearby flows. The invariant set chosen is often an isolated invariant set, which means it is the largest invariant set in some (closed) neighborhood of itself, (cf. [1]) A typical example is a hyperbolic (elementary) rest point ; the behavior of nearby orbits is described in terms of the local stable and unstable manifolds — or, one could say, in terms of the Morse index.
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