ABSTRACT
Chaotic phase synchronization denotes an interesting form of synchronization in which a chaotic attractor adjusts the frequencies of its internal dynamics to the rhythm of an external forcing signal. Complete synchronization has attracted significant attention both because of its potential application in areas such as chaos control and secure communication and because of the broad range of interesting nonlinear dynamic phenomena that can be observed as the synchronized state loses its stability. The chapter explains how the saddle-node bifurcation curves along the edge of the resonance zone are organized and illustrates the transition from multi-layered resonance torus to period-doubled ergodic torus. At the edge of the synchronization tongue, the two bifurcations are simultaneous, but away from the tongue edge the node solution bifurcates before the saddle solution. Chaotic phase synchronization is an extremely interesting area of research with obvious applications to many different problems in physics, chemistry, biology, and other fields of science and technology.
