Analysis and FPGA implementation of an autonomous Josephson junction snap oscillator

Sifeu Takougang Kingni (), Karthikeyan Rajagopal, Victor Kamdoum Tamba, Cyrille Ainamon and Jean Bio Chabi Orou
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Sifeu Takougang Kingni: Petroleum and Gas Engineering, Faculty of Mines and Petroleum Industries, University of Maroua
Karthikeyan Rajagopal: Center for Nonlinear Dynamics, Defence University
Victor Kamdoum Tamba: IUT-Fotso Victor of Bandjoun, University of Dschang
Cyrille Ainamon: Institut de Mathématiques et de Sciences Physiques, Université d’Abomey-Calavi
Jean Bio Chabi Orou: Institut de Mathématiques et de Sciences Physiques, Université d’Abomey-Calavi

The European Physical Journal B: Condensed Matter and Complex Systems, 2019, vol. 92, issue 10, 1-8

Abstract: 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. Graphical abstract

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1140/epjb/e2019-100304-x

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