The Flow Passability Theory

In this chapter, a general theory for the passability of a flow to a specific boundary in discontinuous dynamical systems is reviewed from Luo (2009, 2012). The G-functions for discontinuous dynamical systems is presented. From the G-function, the passability of a flow from a domain to an adjacent one is given from Luo (2008, 2009, 2012). The semi-passable flows, non-passable flows (sink flows and source flows), and grazing flows are reviewed.