Dynamic sensitivities in chaotic dynamical systems

A simple method for the calculation of dynamic logarithmic gains, i.e., normalized sensitivities, is applied to four typical chaotic systems (Lorenz model, Rössler's equations, double scroll attractor, and Langford's equations) to examine an effect of the chaotic behavior on the dynamic logarithmic gains. As a result, it is found that the dynamic logarithmic gains increase exponentially while the chaotic behavior is observed. It is also shown that the observation of the dynamic logarithmic gains is useful to accurately identify the generation of the chaos.