$C^1$ weak Palis conjecture for nonsingular flows

Abstract

The aim of this work is to prove $C^1$ weak Palis conjecture for nonsingular flows. Weak Palis conjecture claims that a generic vector field either is Morse-Smale or exhibits horseshoes. Central model is come up with by Crovisier to obtain homoclinic intersection for diffeomorphisms. We adapt his method for nonsingular flows.

arXiv comment18 pages

Cited by in corpus (1)

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