Flow Switchability

Abstract

In this chapter, from (2008a, 2008b), a theory of flow switchability to the boundary in discontinuous dynamical systems will be presented. The G-functions for discontinuous dynamical systems will be introduced to investigate singularity in discontinuous dynamical systems. Based on the G-functions, the full and half sink and source, non-passable flows to the separation boundary in the systems will be presented, and the switchability of a flow from a domain to an adjacent one will also be discussed. Therefore, the switching bifurcations between the passable and non-passable flows will be presented. The basic theory will be applied to determine the complexity in the systems with time-varying domains in Chapters 4∼6.