Multivariate Li-Yorke sensitivity of non-autonomous discrete dynamical systems

This paper introduces the concept of multivariate Li-Yorke sensitivity and reveals its relationship with multivariate sensitivity in non-autonomous discrete systems (NADSs). Moreover, some equivalent characterizations of multivariate sensitivity are provided in NADSs. Finally, three fundamental properties of multivariate Li-Yorke sensitivity in NADSs are demonstrated: (1) multivariate Li-Yorke sensitivity is a topological invariant in NADSs; (2) multivariate Li-Yorke sensitivity is a product invariant in NADSs; (3) multivariate Li-Yorke sensitivity is an iterative invariant in uniformly convergent NADSs.