English

A note on the top Lyapunov exponent of linear cooperative systems

Dynamical Systems 2023-10-25 v2 Probability

Abstract

In a recent paper [Asymptotic of the largest Floquet multiplier for cooperative matrices Annales de la Facult\'e des Sciences de Toulouse, Tome XXXI, no 4 (2022)] P. Carmona gives an asymptotic formulae for the top Lyapunov exponent of a linear T-periodic cooperative differential equation, in the limit T goes to infinity. This short note discusses and extends this result.

Keywords

Cite

@article{arxiv.2302.05874,
  title  = {A note on the top Lyapunov exponent of linear cooperative systems},
  author = {Michel Benaïm and Claude Lobry and Tewfik Sari and Édouard Strickler},
  journal= {arXiv preprint arXiv:2302.05874},
  year   = {2023}
}