On iteration invariants for (F1,F2) -sensitivity and weak (F1,F2) -sensitivity of non-autonomous discrete systems
Cuina Ma, Peiyong Zhu, Risong Li · The Journal of Nonlinear Sciences and Applications · 2016
In this paper, let \((X; f_{1;\infty})\) be a non-autonomous discrete system on a compact metric space \(X\). For a positive k, the properties \(\hat{P}(k)\) and \(\hat{Q}(k)\) of Furstenberg families are introduced for any integer \(k > 0\). Based on the two properties, we prove that \((\mathcal{F}_1,\mathcal{F}_2)\)-sensitivity and weak \((\mathcal{F}_1,\mathcal{F}_2)\)-sensitivity are inherited under iterations.