Graduate Does the Maximum Lyapunov exponent depend on the eigenvalues?

[codebpr]

TL;DR

Does the value of the Maximum Lyapunov exponent depend on the eigenvalues of the system?

I am currently reading this paper where on page 8, the authors say that:

Negative eigenvalues correspond to unstable systems.

This correlates with Figure 8 on page 12.

Does it mean that there is a real correlation between eigenvalues and Lyapunov exponents?

 

[billtodd]

In control theory we look at the matrices with eigenvalues with real part which is negative as stable.
https://engineering.stackexchange.c...lity-with-eigenvalues-real-part-equal-to-zero
https://en.wikipedia.org/wiki/Lyapunov_exponent

Look at

Definition of the Lyapunov spectrum​