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In this paper we study double Sine-Gordon equation (DSG) by means of Cellular Nonlinear Network (CNN). DSG arises in studying fluxons in Josephson junctions and it has fluxon and antifluxon solutions. We study DSG equation with memristor synapsis. We apply CNN architecture for the two types of equations—DSG and the equation describing the interaction of \( (4 \pi - 2 \delta ) \) kink-antikink in the case of appearing of long living breathon. Simulations are provided in order to illustrate the obtained theoretical results. Some applications in Physics of DSG are considered as well.

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CNN Computing of Double Sine-Gordon Equation with Memristor Synapses

  • 会议论文

  • 发表日期：

    2025年

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  • Angela Slavova,
  • Ventsislav Ignatov

摘要

In this paper we study double Sine-Gordon equation (DSG) by means of Cellular Nonlinear Network (CNN). DSG arises in studying fluxons in Josephson junctions and it has fluxon and antifluxon solutions. We study DSG equation with memristor synapsis. We apply CNN architecture for the two types of equations—DSG and the equation describing the interaction of \( (4 \pi - 2 \delta ) \) kink-antikink in the case of appearing of long living breathon. Simulations are provided in order to illustrate the obtained theoretical results. Some applications in Physics of DSG are considered as well.