Internal synchronization using adaptive sliding mode.

Synchronization of chaotic systems by means of the combination of drive‐response/master–slave systems have been widely utilized. In the current study, the author introduces the concept of internal synchronization (IS) that is based on the synchronization within the system among the subsystems. Furthermore, the two types of Internal Multi‐Switching Synchronization (IMSS): the first one based on single error while the other one is based on two errors, have been discussed. In order to demonstrate, the author chooses the Lorenz Chaotic System (LCS) and Lorenz Hyper Chaotic System (LHCS) together with the adaptive sliding mode control (SMC) technique in multi‐switching manner. In addition, the efficiency of the IMSS is illustrated using Mathematica. The computational part is the witness of the achievement of stability of the IS. [ABSTRACT FROM AUTHOR]