Reference request for lyapunov exponents in continuous chaotic systems.

Question

I was looking for references which calculates Lyapunov Exponents of the continuous Chaotic systems like for Lorenz system, Rossler system, Chua's circuit. I found on searching many rigorous formulation in the calculation of Lyapunov exponents.

So is there any lucid presentation of the calculation of Lyapunov exponents.

This question consists of the calculation of Lyapunov Exponents in case of maps, but I am looking for continuous case.

Any help is great!

Answer 1

A completely elementary presentation of the algorithms to compute Lyapunov exponents for ODE systems can be found in Chaos: An Introduction to Dynamical Systems by Kathleen T. Alligood (Author), Tim D. Sauer (Author), James A. Yorke (Author).

Answer 2

There is Lyapunov Exponents by Arkady Pikovsky and Antonio Politi, which is a pretty thorough treatment of Lyapunov exponents in general, including continuous cases.