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Dynamics of the Overdamped Coupled Josephson Junctions with an Interference Term

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Abstract

Employing the monotonicity approach and the theory of orientation preserving circle homeomorphisms, we provide a rigorous analysis on the IV characteristics of the coupled Josephson junctions including an interference term in a specified parameters region. In particular, when the system is driven by a dc-current, we show that there exist either globally stable single-wave-form solutions if and only if the average voltage is nonzero, or equilibria if and only if the average voltage vanishes.

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Authors and Affiliations

  1. Department of Mathematics, Suzhou University, Suzhou, 215006, People’s Republic of China

    Wen-Xin Qin & Zhi-Long Peng

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  1. Wen-Xin Qin
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  2. Zhi-Long Peng
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Correspondence to Wen-Xin Qin.

Additional information

Communicated by M. Golubitsky.

Supported by National Natural Science Foundation of China (10771155, 10571131) and Natural Science Foundation of Jiangsu Province (BK 2006046).

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Qin, WX., Peng, ZL. Dynamics of the Overdamped Coupled Josephson Junctions with an Interference Term. J Nonlinear Sci 19, 375–398 (2009). https://doi.org/10.1007/s00332-009-9040-7

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  • DOI: https://doi.org/10.1007/s00332-009-9040-7

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