Entropy of nonautonomous dynamical systems

TL;DR

This paper reviews the extension of entropy concepts to nonautonomous dynamical systems, highlighting recent developments and presenting a novel example not previously documented.

Contribution

It offers an overview of entropy in nonautonomous systems and introduces a new example that expands existing literature.

Findings

Extension of measure-theoretic and topological entropy to nonautonomous systems

Presentation of a previously unpublished example in the field

Clarification of entropy concepts in nonautonomous dynamics

Abstract

Different notions of entropy play a fundamental role in the classical theory of dynamical systems. Unlike many other concepts used to analyze autonomous dynamics, both measure-theoretic and topological entropy can be extended quite naturally to discrete-time nonautonomous dynamical systems given in the process formulation. This paper provides an overview of the author's work on this subject. Also an example is presented that has not appeared before in the literature.