Lower estimates of top Lyapunov exponent for cooperative random systems of linear ODEs

Mierczyński, Janusz

doi:10.1090/S0002-9939-2014-12368-9

Lower estimates of top Lyapunov exponent for cooperative random systems of linear ODEs
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Proc. Amer. Math. Soc. 143 (2015), 1127-1135 Request permission

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.

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