Plugging flows

Percell, Peter B.; Wilson, F. Wesley

doi:10.1090/S0002-9947-1977-0448441-2

Plugging flows
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by Peter B. Percell and F. Wesley Wilson PDF

Trans. Amer. Math. Soc. 233 (1977), 93-103 Request permission

Abstract:

A plug construction is a local modification of a nonsingular flow which severs certain kinds of recurrence properties. In this paper we investigate the effect of plug constructions on minimal sets, the nonwandering set, and the chain recurrent set and the explosions of these sets when a plug construction is perturbed.

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Separatrix structure for regions attracted to solitary periodic solutions

The gradient structure of a flow