Regular Article

Analysis of Josephson junction with topologically nontrivial barrier

¹ Department of Mechanical, Petroleum and Gas Engineering, Faculty of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon
² Research Unit of Automation and Applied Computer, Electrical Engineering Department of IUT-FV, University of Dschang, P.O. Box 134, Bandjoun, Cameroon
³ Department of Basic Science, School of Geology and Mining Engineering, University of Ngaoundere, P.O. Box 115, Meiganga, Cameroon
⁴ Institute of Fisheries and Aquatic Sciences at Yabassi, University of Douala, Box 2701 Douala, Cameroon

^a e-mail: stkingni@gmail.com

Received: 10 March 2020
Received in final form: 16 April 2020
Published online: 3 August 2020

Abstract

Josephson junction (JJ) with topologically nontrivial barrier is analytically and numerically analyzed in this paper. This system has four, two, or no equilibrium points depending on the external direct current (DC) source and the fractional parameter. The existence of pitchfork bifurcation is established during the stability analysis of the equilibrium points. The inclusion of fractional parameter in JJ leads to an increase in the hysteresis loop of current-voltage characteristics. For a suitable choice of modulation parameters of external current source, JJ with topologically nontrivial barrier can display excitable mode, bistable, periodic and chaotic behaviors.