|
This article is cited in 27 scientific papers (total in 27 papers)
Necessary and sufficient conditions for topological equivalence of three-dimensional Morse–Smale dynamical systems with a finite number of singular trajectories
Ya. L. Umanskii Gor'kii Agricultural Institute
Abstract:
The author introduces a complete topological invariant of three-dimensional Morse–Smale systems with finitely many singular trajectories, including closed trajectories, which is called the scheme of the dynamical system. Conditions for the equivalence of schemes are given, and it is shown that two systems are topological equivalent if and only if their schemes are equivalent.
Received: 26.06.1987 and 07.09.1989
Citation:
Ya. L. Umanskii, “Necessary and sufficient conditions for topological equivalence of three-dimensional Morse–Smale dynamical systems with a finite number of singular trajectories”, Math. USSR-Sb., 69:1 (1991), 227–253
Linking options:
https://www.mathnet.ru/eng/sm1152https://doi.org/10.1070/SM1991v069n01ABEH001235 https://www.mathnet.ru/eng/sm/v181/i2/p212
|
|