Single Constraint Synchronization

In this chapter, synchronization of two or more dynamical systems to specific constraints is introduced, which is different from the traditional synchronization of two dynamical systems. For such synchronization, Lyapunov stability method cannot be adopted. The synchronization, desynchronization, and penetration of multiple dynamical systems to a specific constraint are discussed from the theory of discontinuous dynamical systems, and the necessary and sufficient conditions for such synchronicity are presented.