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Sufficient conditions for ergodic sensitivity. (English) Zbl 1412.54044

Summary: In this note, some sufficient conditions on the ergodic sensitivity of dynamical systems are obtained, improving the main results in [Q. Huang et al., Appl. Math. Lett. 39, 31–34 (2015; Zbl 1370.37031)] and [R. Li and Y. Shi, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 5, 2716–2720 (2010; Zbl 1180.37005)]. 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.

MSC:

54H20 Topological dynamics (MSC2010)
74H65 Chaotic behavior of solutions to dynamical problems in solid mechanics
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