One-dimensional monotone nonautonomous dynamical systems

This work is devoted to the study of the dynamics of one-dimensional monotone nonautonomous (cocycle) dynamical systems. A description of the structures of their invariant sets, omega limit sets, Bohr/Levitan almost periodic and almost automorphic motions, global attractors, pinched and minimal sets...

Full description

Saved in:
Bibliographic Details
Published in:Science China. Mathematics 2024-02, Vol.67 (2), p.281-314
Main Author: Cheban, David
Format: Article
Language:English
Subjects:
Applications of Mathematics
Difference equations
Differential equations
Dynamical systems
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This work is devoted to the study of the dynamics of one-dimensional monotone nonautonomous (cocycle) dynamical systems. A description of the structures of their invariant sets, omega limit sets, Bohr/Levitan almost periodic and almost automorphic motions, global attractors, pinched and minimal sets is given. An application of our general results is given to scalar differential and difference equations.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-021-2084-x