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- Title
Morse-Smale systems with three nonwandering points.
- Authors
Zhuzhoma, E.; Medvedev, V.
- Abstract
The article presents a study of the Morse-Smale systems with three nonwandering points. It notes that Morse-Smale systems, which is a significant class considered in the theory of dynamical systems, exists on closed manifolds and are structurally stable. Also, it mentions the relationship of the dynamics of a system and the structure of the carrying manifold. Moreover, it states that Morse-Smale systems includes at least a source and a sink orbit while a nonwandering set of a Morse-Smale diffeomorphism has exactly two points, a source and a sink. Various theorems of the Morse-Smale system are illustrated.
- Subjects
DIFFEOMORPHISMS; DIFFERENTIABLE dynamical systems; DIFFERENTIABLE manifolds; ORBIT method; RATIONAL points (Geometry); SET theory; SINKS (Atmospheric chemistry); SINGULAR perturbations; DEGENERATE differential equations
- Publication
Doklady Mathematics, 2011, Vol 84, Issue 2, p604
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S106456241106007X