Experimental Observation of Chaotic Beats in Oscillators Sharing Nonlinearity

Abstract

This paper deals with the generation of chaotic beats in a system of two forced dissipative LCR oscillators sharing a nonlinear element. The presence of two external periodic excitations and a common nonlinear element in the chosen system enables the facile generation of chaotic beats. Thus rendered chaotic beats were characterized in both time domain and phase space. Lyapunov exponents and envelope of the beats were computed to diagnose the chaotic nature of the signals. The role of common nonlinearity on the complexity of the generated beats is discussed. Real-time experimental hardware implementation has also been done to confirm the subsistence of the phenomenon, for the first time. Extensive Multisim simulations were carried out to understand, a bit more about the shrinkage and revivals of state variables in phase space.

Dynamics of a simple third-order autonomous MLC circuit

“…Ahamed and Lakshmanan futher reported the hyperchaotic beats in a simple nonsmooth system with just a single driving force [30]. Asir et al innovatively reported the generation and physical realization of chaotic beats in two sub-networks sharing a common nonlinear element [31]. It could be found that the generation of chaotic/hyperchaotic beat phenomena from the above systems are mainly implemented by coupling and introducing external periodic signals.…”