Dynamical analysis, FPGA implementation and its application to chaos based random number generator of a fractal Josephson junction with unharmonic current-phase relation

Sifeu Takougang Kingni (), Karthikeyan Rajagopal, Serdar Çiçek, Andre Cheukem, Victor Kamdoum Tamba and Gaetan Fautso Kuiate
Additional contact information
Sifeu Takougang Kingni: University of Maroua
Karthikeyan Rajagopal: Center for Nonlinear Dynamics, Defence University
Serdar Çiçek: Vocational School of Hacibektaş, Nevşehir Hacibektaş Veli University
Andre Cheukem: Research Unit of automation and applied computer, Electrical Engineering Department of IUT-FV, University of Dschang
Victor Kamdoum Tamba: IUT-Fotso Victor of Bandjoun, University of Dschang
Gaetan Fautso Kuiate: Higher Teacher Training College, University of Bamenda

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 3, 1-11

Abstract: Abstract The dynamical characteristics and its applications to random number generator of a fractal Josephson junction with unharmonic current-phase relation (FJJUCPR) described by a linear resistive-capacitive-inductance shunted junction (LRCLSJ) model are investigated in this paper. The dependence of the equilibrium points of the system to the external current source or the unharmonic current-phase relation (UCPR) parameter is revealed and their stability are analysed. The inclusion of unharmonic current-phase relation in an ideal or a fractal Josephson junction leads to transform the spiking, bursting and relaxations oscillations to an excitable mode. While the inclusion of fractal characteristics in insulating layer of Josephson junction leads to an increase of the amplitude of the spiking, bursting and relaxations oscillations. The numerical simulations results also indicate that FJJUCPR exhibits self-excited chaotic attractors and two different shapes of hidden chaotic attractors. The FJJUCPR is implemented in field programmable gate arrays (FPGA) in order to validate the numerical simulations results. In addition, random number generator design is performed using chaotic signals of the FJJUCPR. The random number generator design results are successful in the NIST SP 800-22 test. Graphical abstract

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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DOI: 10.1140/epjb/e2020-100562-9

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