Strong Li-Yorke chaos for time-varying discrete dynamical systems with A-coupled-expansion

TL;DR

This paper establishes new criteria for strong Li-Yorke chaos in time-varying discrete systems using A-coupled-expansion, with weaker conditions than previous studies, supported by an illustrative example.

Contribution

It introduces novel, less restrictive criteria for chaos in nonautonomous discrete systems based on A-coupled-expansion and strict coupled-expansions.

Findings

Criteria for strong Li-Yorke chaos established

Conditions are weaker than existing literature

An illustrative example demonstrates the results

Abstract

This paper is concerned with strong Li-Yorke chaos induced by A-coupled-expansion for time-varying (i.e., nonautonomous) discrete systems in metric spaces. Some criteria of chaos in the strong sense of Li-Yorke are established via strict coupled-expansions for irreducible transition matrices in bounded and closed subsets of complete metric spaces and in compact subsets of metric spaces, respectively, where their conditions are weaker than those in the existing literature. One example is provided for illustration.