Time-restricted sensitivities and entropies for nonautonomous dynamical systems

In this paper, we introduce the concepts of measure-theoretic restricted sensitivity and topological restricted sensitivity for nonautonomous dynamical systems. For such systems, we investigate the relationships among the measure-theoretic asymptotic rate of sensitivity, the topological asymptotic rate of sensitivity, topological entropy and Pesin topological entropy. Specifically, we establish a variational principle for the topological entropy of nonautonomous dynamical systems.