Morse-Smale systems and horseshoes for three dimensional singular flows
Gan, Shaobo · Yang, Dawei
Dynamical Systems
37C10 37C15 37C20 37C27 37C29 37C40 37C50 37C70 37C75 37D05 37D10 37D15 37D20 37D30 37D45 37G25 37B20 37B25 37B40
Original · EN
We prove that for every three-dimensional vector field, either it can be accumulated by Morse-Smale ones, or it can be accumulated by ones with a transverse homoclinic intersection of some hyperbolic periodic orbit in the C¹ topology.
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