Abstract

This chapter presents some constructions in semidynamical systems (SDSs). The SDSs are continuous flows defined for all future time. Functional differential equations provide natural examples of these. SDSs provide some interesting notions that are not possible in dynamical systems. Bhatia and Hajek have extended some results to local SDSs. This chapter explores some of the constructions in SDSs. It discusses some preliminaries and then describes a family of SDSs. It elaborates direct sums of semidynamical system. Sub-semidynamical systems are also described. It is highlighted that not all properties of an SDS are hereditary. The chapter also explains the products of SDS.

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