Corpus ID: 237592779

# The hypocoercivity index for the short and large time behavior of ODEs

@inproceedings{Achleitner2021TheHI,
title={The hypocoercivity index for the short and large time behavior of ODEs},
author={Franz Achleitner and Anton Arnold and Eric A. Carlen},
year={2021}
}
• Published 22 September 2021
• Mathematics
We consider the class of conservative–dissipative ODE systems, which is a subclass of Lyapunov stable, linear time-invariant ODE systems. We characterize asymptotically stable, conservative– dissipative ODE systems via the hypocoercivity (theory) of their system matrices. Our main result is a concise characterization of the hypocoercivity index (an algebraic structural property of matrices with positive semi-definite Hermitian part introduced in [2]) in terms of the short time behavior of the… Expand
4 Citations

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