Chaotic Dynamics of Third Order Wien Bridge Oscillator with Memristor Under External Generalized Sinusoidal Stimulus

Abstract

The qualitative behaviour of the signals generated by a third order Wien bridge oscillator with memristor under external generalized sinusoidal stimulus is studied. The bifurcation of the nature of the solution for different range of the parameters of the system reveal that the external stimulus generates an added layer of security which can be used to build a secure communication channel using the synchronization of chaos. Some specific regimes of the parameters of the external stimulus are identified over which such secure channel can be established. The 0-1 test of chaos has been employed to verify the chaotic nature of the output signal.