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Suppressing Chaos in Josephson Junction Model with Coexisting Attractors and Investigating Its Collective Behavior in a Network

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Abstract

The controls of chaotic and coexisting attractors and collective dynamics in linear resistive-capacitive-inductive shunted Josephson junction (LRCISJJ) model are investigated in this paper. A single feedback controller is designed to control chaos found in the LRCISJJ model. Analytical calculations and numerical simulations are carried out to show the serviceableness of the designed single controller. In addition, the coexistence between chaotic and limit cycle attractors is ruined and controlled to a desired trajectory by using the linear augmentation control method. Finally, since the LRCISJJ shows spiking and bursting behaviors, a 2D lattice array of the LRCISJJ model is constructed in order to understand its network behavior. The spiral wave formation in the network is studied in the presence of heterogeneity. To further confirm the excitability heterogeneity in the network, the periods of each node are used to show the periodicity pattern in the network.

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Funding

This work is partially funded by the Center for Nonlinear Systems, Chennai Institute of Technology, India, via funding number CIT/CNS/2021/RD/009.

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Authors and Affiliations

  1. Center for Nonlinear Systems, Chennai Institute of Technology, 600069, Tamilnadu, India

    Balamurali Ramakrishnan & Karthikeyan Rajagopal

  2. Department of Mechanical Engineering, National Higher Polytechnic School of Douala, University of Douala, P.O. Box 2701, Douala, Cameroon

    Lionel Merveil Anague Tabejieu

  3. Department of Physics, Faculty of Science, University of Bamenda, PO Box 39, Bamenda, Cameroon

    Isidore Komofor Ngongiah

  4. Department of Mechanical, Petroleum and Gas Engineering, Faculty of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon

    Sifeu Takougang Kingni

  5. Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes (LaMSEBP), Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon

    Raoul Thepi Siewe

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  1. Balamurali Ramakrishnan
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  2. Lionel Merveil Anague Tabejieu
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  3. Isidore Komofor Ngongiah
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  4. Sifeu Takougang Kingni
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  6. Karthikeyan Rajagopal
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Correspondence to Lionel Merveil Anague Tabejieu.

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Ramakrishnan, B., Tabejieu, L.M.A., Ngongiah, I.K. et al. Suppressing Chaos in Josephson Junction Model with Coexisting Attractors and Investigating Its Collective Behavior in a Network. J Supercond Nov Magn 34, 2761–2769 (2021). https://doi.org/10.1007/s10948-021-06003-9

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  • DOI: https://doi.org/10.1007/s10948-021-06003-9

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