Abstract
A nonautonomous discrete dynamical system is generated by a given sequence of maps. Its induced system is introduced. It is generated by a sequence of maps that are partial compositions of the given sequence of maps in the original order so that every orbit of the induced system is a part of an orbit of the original system starting from the same initial point. Some close relationships between chaotic dynamical behaviors of the original system and its induced systems are given, including chaos in the (strong) sense of Li–Yorke and Wiggins. Under some conditions, chaos in the (strong) sense of Li–Yorke of the original system and its induced systems is equivalent. By applying these relationships, several criteria of chaos are established and some sufficient conditions for no chaos are given for nonautonomous systems.
Published Version
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