The gradient structure of a flow: I
- 10 December 1988
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 8 (8) , 11-26
- https://doi.org/10.1017/s0143385700009305
Abstract
Each flow dominates a unique gradient flow (the gradient part) which in turn dominates any other gradient flow dominated by the original flow. The set of points carried to rest points of the gradient part (the chain recurrent set) is characterized in terms of a recurrence relation. Filtrations of the given flow correspond to those of the gradient part.Keywords
This publication has 1 reference indexed in Scilit:
- Isolated Invariant Sets and Isolating BlocksTransactions of the American Mathematical Society, 1971