Antimonotonicity, coexisting attractors and bursting oscillations in optomechanical system: Analysis and electronic implementation

Abstract

This paper studies the dynamical behavior of an optomechanical system operating in red-detuned. It is shown that this optomechanical system can exibit antimonotonicity, coexisting attractors, periodic and chaotic bubble behaviors for specific choice of the parameters. In the resolved sideband regime and when the time scale of the mechanical oscillations is larger enough than the time scale of the cavity field, this optomechanical system displays Hopf birfucation which tiggers bursting oscillations. These bursting oscillations cover the range of periodic to chaotic oscillations and are located between the optical bistability and the optical multi sidebands regimes. The numerical simulation results are confirmed with analog simulations using an electronic implementation. The possibility to experimentally capture bursting oscillations through their specific spectrum is shown.