  In this article, a new synchronization scheme is presented by combining the
concept of reduced-order synchronization with multi-switching synchronization
schemes. The presented scheme, reduced-order multi-switching hybrid
synchronization, is notable addition to the earlier multi-switching schemes
providing enhanced security in applications of secure communication. Based on
the Lyapunov stability theory, the active control method is used to design the
controllers and derive sufficient condition for achieving reduced-order
multi-switching hybrid synchronization between a new hyperchaotic system taken
as drive system and Qi chaotic system serving as response system. Numerical
simulations are performed in MATLAB using the Runge-Kutta method to verify the
effectiveness of the proposed method. The results show the utility and
suitability of the active control method for achieving the reduced-order
multi-switching hybrid synchronization among dynamical chaotic systems.
