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In this paper, let (X, f1,∞) be a non-autonomous discrete system on a compact metric space X. For a positive k, the properties P̂ (k) and Q̂(k) of Furstenberg families are introduced for any integer k > 0. Based on the two properties, we prove that (F1,F2)-sensitivity and weak (F1,F2)-sensitivity are inherited under iterations. c ©2016 All rights reserved.

On iteration invariants for (F1,F2) -sensitivity and weak (F1,F2) -sensitivity of non-autonomous discrete systems