Morse-Smale systems and horseshoes for three dimensional singular flows
classification
🧮 math.DS
keywords
accumulatedmorse-smaleonesdimensionaleithereveryfieldflows
read the original abstract
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 $C^1$ topology.
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