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Slow-fast dynamics in Josephson junctions

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  • E. Neumann
  • A. Pikovsky

Abstract

We report on a nontrivial type of slow-fast dynamics in a Josephson junction model externally shunted by a resistor and an inductor. For large values of the shunt inductance the slow manifold is highly folded, and different types of dynamical behavior in the fast variable are possible in dependence on the other parameters of the junction. We discuss how particular features of the dynamics are manifested in the current-voltage characteristics of the shunted junction. Copyright Springer-Verlag Berlin/Heidelberg 2003

Suggested Citation

  • E. Neumann & A. Pikovsky, 2003. "Slow-fast dynamics in Josephson junctions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 34(3), pages 293-303, August.
    • Handle: RePEc:spr:eurphb:v:34:y:2003:i:3:p:293-303
    DOI: 10.1140/epjb/e2003-00225-1
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    Cited by:

    1. Ramadoss, Janarthanan & Ngongiah, Isidore Komofor & Chamgoué, André Chéagé & Kingni, Sifeu Takougang & Rajagopal, Karthikeyan, 2023. "Fractal resistive–capacitive–inductive shunted Josephson junction: Theoretical investigation and microcontroller implementation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).
    2. Karthikeyan Rajagopal & Suresh Kumarasamy & Sathiyadevi Kanagaraj & Anitha Karthikeyan, 2022. "Infinitely coexisting chaotic and nonchaotic attractors in a RLC shunted Josephson Junction with an AC bias current," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(9), pages 1-9, September.
    3. Isidore Komofor Ngongiah & Balamurali Ramakrishnan & Hayder Natiq & Justin Roger Mboupda Pone & Gaetan Fautso Kuiate, 2022. "Josephson junction based on high critical-temperature superconductors: analysis, microcontroller implementation, and suppression of coexisting and chaotic attractors," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(9), pages 1-13, September.
    4. Sifeu Takougang Kingni & Gaetan Fautso Kuiate & Romanic Kengne & Robert Tchitnga & Paul Woafo, 2017. "Analysis of a No Equilibrium Linear Resistive-Capacitive-Inductance Shunted Junction Model, Dynamics, Synchronization, and Application to Digital Cryptography in Its Fractional-Order Form," Complexity, Hindawi, vol. 2017, pages 1-12, October.
    5. Venditti, Claudia & Adrover, Alessandra & Giona, Massimiliano, 2022. "Inertial effects and long-term transport properties of particle motion in washboard potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).

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