Extreme multistability in a Josephson-junction-based circuit

Patrick Louodop, Robert Tchitnga, Fernando F. Fagundes, Michaux Kountchou, V. Kamdoun Tamba, Carlos L. Pando L., and Hilda A. Cerdeira
Phys. Rev. E 99, 042208 – Published 18 April 2019

Abstract

We design and report an electrical circuit using a Josephson junction under periodic forcing that reveals extreme multistability. Its overall state equations surprisingly recall those of a well-known model of Josephson junction initially introduced in our circuit. The final circuit is characterized by the presence of two new and different current sources in parallel with the nonlinear internal current source sin[ϕ(t)] of the Josephson junction single electronic component. Furthermore, the model presents an interesting extreme multistability which is justified by a very large number of different attractors (chaotic or not) when slightly changing the initial conditions.

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  • Received 30 April 2018
  • Revised 15 March 2019

DOI:https://doi.org/10.1103/PhysRevE.99.042208

©2019 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear Dynamics

Authors & Affiliations

Patrick Louodop1,2, Robert Tchitnga2, Fernando F. Fagundes3, Michaux Kountchou2,4, V. Kamdoun Tamba2, Carlos L. Pando L.5, and Hilda A. Cerdeira1

  • 1São Paulo State University - UNESP, Instituto de Física Teórica, Rua Doutor Bento Teobaldo Ferraz 271, Bloco II, Barra Funda, 01140-070 São Paulo, Brazil
  • 2Research Unit Condensed Matter, Electronics and Signal Processing, Université de Dschang, P.O. Box 67 Dschang, Cameroon
  • 3Center for Interdisciplinary Research on Complex Systems, University of Sao Paulo, Avenida Arlindo Bettio 1000, 03828-000 São Paulo, Brazil
  • 4Nuclear Technology Section, Institute of Geological and Mining Research, P.O. Box 4110 Yaounde, Cameroon
  • 5Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, Puebla, Pue. 72570, México

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Issue

Vol. 99, Iss. 4 — April 2019

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