Two types of tracing properties in non-autonomous dynamical system

Abstract

In this paper, we introduce the notions of asymptotic pseudo-orbit tracing property and pointwise pseudo-orbit tracing property in non-autonomous dynamical system, which are the generalizations of corresponding notions in autonomous dynamical system. We showed that if is topologically conjugate to, then has asymptotic pseudo-orbit tracing property if and only if has the same property. Also we discuss the relationship of pointwise pseudo-orbit tracing property between the product system and its subsystems.