Geodesic
Smooth topologically transitive dynamic systems
Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 751-759.

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The paper proves the existence of smooth topologically transitive dynamic systems-flows and cascades for any connected $n$-dimensional region ($n\ge3$), and cascades for two-dimensional. 
@article{MZM_1968_4_6_a15,
     author = {E. A. Sidorov},
     title = {Smooth topologically transitive dynamic systems},
     journal = {Matemati\v{c}eskie zametki},
     pages = {751--759},
     publisher = {mathdoc},
     volume = {4},
     number = {6},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a15/}
}
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E. A. Sidorov. Smooth topologically transitive dynamic systems. Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 751-759. http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a15/