On the Lyapunov exponents of triangular discrete time‐varying systems
Abstract In this paper, we present upper and lower estimates for the Lyapunov exponents of discrete linear systems with triangular time‐varying coefficients. These estimates are expressed by the diagonal elements of the coefficient matrix. As a conclusion from these estimates, we also obtain bounds for the Grobman regularity coefficient.
Authors
- Adam Czornik (ORCID: https://orcid.org/0000-0003-2492-4155)
- Thai Son Doan (ORCID: https://orcid.org/0000-0002-9871-740X)
Institutions
- Silesian University of Technology (PL)
- Institute of Mathematics (VN)
- Vietnam Academy of Science and Technology (VN)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2025-02-12
- DOI
- https://doi.org/10.1002/mana.202300373
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Foundation for Science and Technology Development