Geodesic
Gradient flows with wildly embedded closures of separatrices
Informatics and Automation, Differential equations and dynamical systems, Tome 270 (2010), pp. 138-146

Voir la notice de l'article provenant de la source Math-Net.Ru

We show that for any $n\ge4$ there exists an $n$-dimensional closed manifold $M^n$ on which one can define a Morse–Smale gradient flow $f^t$ with two nodes and two saddles such that the closure of the separatrix of some saddle of $f^t$ is a wildly embedded sphere of codimension 2. We also prove that the closures of separatrices of a flow with three equilibrium points are always embedded in a locally flat way. 
@article{TRSPY_2010_270_a8,
     author = {E. V. Zhuzhoma and V. S. Medvedev},
     title = {Gradient flows with wildly embedded closures of separatrices},
     journal = {Informatics and Automation},
     pages = {138--146},
     publisher = {mathdoc},
     volume = {270},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2010_270_a8/}
}
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E. V. Zhuzhoma; V. S. Medvedev. Gradient flows with wildly embedded closures of separatrices. Informatics and Automation, Differential equations and dynamical systems, Tome 270 (2010), pp. 138-146. http://geodesic.mathdoc.fr/item/TRSPY_2010_270_a8/