Mixed synchronization in chaotic oscillators using scalar coupling

We report experimental evidence of mixed synchronization in two unidirectionally coupled chaotic oscillators using a scalar coupling. In this synchronization regime, some of the state variables may be in complete synchronization while others may be in anti-synchronization state. We extended the theory by using an adaptive controller with an updating law based on Lyapunov function stability to include parameter fluctuation. Using the scheme, we implemented a cryptographic encoding for digital signal through parameter modulation.

► We provided experimental evidence of the mixed synchronization scheme while other methods are mostly theoretical nature.
► We numerically studied adaptive mixed synchronization when the parameters are not completely known using scalar coupling.
► We proposed a secure communication system where three digital messages are transmitted using parameter modulation.