Eur. Phys. J. Special Topics 229, 1117-1132 (2020)
https://doi.org/10.1140/epjst/e2020-900178-0

Regular Article

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

¹ Department of Mechanical, Petroleum and Gas Engineering, Faculty of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon
² Laboratory of Photonics, Department of Physics, Faculty of Science, University of Ngaoundéré, P.O. Box 454, Ngaoundéré, Cameroon
³ Department of Physics, Faculty of Exact and Applied Science, University of N’djamena, P.O. Box 1117, N’djamena, Chad

^a e-mail: stkingni@gmail.com

Received: 26 August 2019
Received in final form: 7 October 2019
Published online: 26 March 2020

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.