Sufficient conditions for ergodic sensitivity.

In this note, some sufficient conditions on the ergodic sensitivity of dynamical systems are obtained, improving the main results in [Q.-L. Huang, Y.-M. Shi, L.-J. Zhang, Appl. Math. Lett., 39 (2015), 31-34] and [R.-S. Li, Y.-M. Shi, Nonlinear Anal., 72 (2010), 2716-2720]. Moreover, it is proved that under these conditions, the second Lyapunov number of a dynamical system is equal to the diameter of its state space. [ABSTRACT FROM AUTHOR]