On the analytic system whose limit set is an unbounded cylinder
Abstract
We consider a problem concerning the topological structure of limit sets of dynamical systems and construct an example of a smooth dynamical system in three-dimensional space whose omega-limit set is an infinite cylinder.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Advanced Differential Equations and Dynamical Systems
Control and Stability of Dynamical Systems
Publication details
- Journal / source
- Russian Mathematics
- Issue
- 2
- Pages
- 3–8
- Publication date
- 10 March 2026
- Language
- EN