  The appearance of the chaotic synchronization regimes has been discovered for
the coupled spatially extended beam-plasma Pierce systems. The coupling was
introduced only on the right bound of each subsystem. It has been shown that
with coupling increase the spatially extended beam-plasma systems show the
transition from asynchronous behavior to the phase synchronization and then to
the complete synchronization regime. For the consideration of the chaotic
synchronization we used the concept of time scale synchronization described in
work [Chaos, 14, 3 (2004) 603-610] and based on the introduction of the
continuous set of phases of chaotic signal. In case of unidirectional coupling
the generalized synchronization regime has been observed in the spatially
extended beam-plasma systems. The generalized synchronization appearance
mechanism has been analyzed by means of the offered modified system approach
[Phys. Rev. E, 71, 6 (2005) 067201].
