Regular Article

Analysis and FPGA implementation of an autonomous Josephson junction snap oscillator

¹ Department of Mechanical, Petroleum and Gas Engineering, Faculty of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon
² Center for Nonlinear Dynamics, Defence University, Bishoftu 6020, Ethiopia
³ Institute of Energy, Mekelle University, Mekelle 121, Ethiopia
⁴ Department of Telecommunication and Network Engineering, IUT-Fotso Victor of Bandjoun, University of Dschang, P.O. Box 134, Bandjoun, Cameroon
⁵ Institut de Mathématiques et de Sciences Physiques, Université d’Abomey-Calavi, BP 613 Porto Novo, Benin

^a e-mail: stkingni@gmail.com

Received: 10 June 2019
Received in final form: 12 August 2019
Published online: 8 October 2019

Abstract

An autonomous Josephson junction (JJ) snap oscillator is designed and investigated in this paper. Depending on DC bias current, the proposed snap oscillator has two or no equilibrium points. The stability analysis of the two equilibrium points shows that one of the equilibrium point is unstable and the existence of Hopf bifurcation is established for the other equilibrium point. During the numerical analysis, some interesting dynamical behaviors such as chaotic self-excited attractors, chaotic hidden attractors, antimonotonicity, chaotic bubble hidden attractors, bistable period-1-bubble and coexistence between periodic and chaotic hidden attractors are found. Finally, the Field Programmable Gate Array (FPGA) of proposed snap oscillator is implemented. The results obtained from the FPGA implementation of proposed snap oscillator are qualitatively the same to the one obtained during the numerical simulations.