Author/Authors :
Wang ، Xiong - Shenzhen University , Wu ، Xinxing - Southwest Petroleum University , Chen ، Guanrong - City University of Hong Kong
Abstract :
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 pro ed that under these conditions, the second Lyapunov number of a dynamical system is equal to the diameter of its state space.