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Explosions in completely unstable flows. I. Preventing explosions
1978
Transactions of the American Mathematical Society
Several conditions are equivalent to the property that a now (on an open manifold) and its C° perturbations have only wandering points. These conditions are: (i) there exists a strong Liapunov function; (ii) there are no generalized recurrent points in the sense of Auslander; (iii) there are no chain recurrent points, in the sense of Conley; (iv) there exists a fine sequence of nitrations; (v) relative to some metric; the flow is the gradient flow of a function without critical points. We
doi:10.1090/s0002-9947-1978-0511399-2
fatcat:5q5szivfzfaf3pv43kqiamvuwe