Lower estimates of top Lyapunov exponent for cooperative random systems of linear ODEs
Dynamical Systems
2017-08-21 v2 Classical Analysis and ODEs
Abstract
For cooperative random linear systems of ordinary differential equations a method is presented of obtaining lower estimates of the top Lyapunov exponent. The proofs are based on applying some polynomial Lyapunov-like function. Known estimates for the dominant eigenvalue of a nonnegative matrix due to G. Frobenius and L. Yu. Kolotilina are shown to be specializations of our results.
Keywords
Cite
@article{arxiv.1305.6198,
title = {Lower estimates of top Lyapunov exponent for cooperative random systems of linear ODEs},
author = {Janusz Mierczyński},
journal= {arXiv preprint arXiv:1305.6198},
year = {2017}
}
Comments
9 pages; some minor modifications