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<p>This paper investigates the dynamics, microcontroller implementation, mechanisms of bursting oscillations, linear offset boosting of constants (LOBC), and chaos suppression in the discontinuous resistive-capacitive-inductive shunted Josephson junction (JJ) oscillator (DRCLSJJO). The DRCLSJJO exhibits periodic bursting characteristics, a coexistence of irregular and periodic behaviors, and chaotic attractors by varying the system’s parameters. The physical realization of these dynamical characteristics is achieved using the ATMEGA328P microcontroller. Additionally, LOBC based on the current state variable is demonstrated by introducing a parameter into the dimensionless system of the DRCLSJJO. This phenomenon allows for offset boosting in the current variable by adjusting the constant parameter. The bursting dynamics of the DRCLSJJO are examined by dividing it into two subsystems: the fast subsystem and the slow subsystem. This division aims to clarify the mechanisms behind the bursting oscillations. Through stability analysis of the fast subsystem, it is shown that the bursting oscillations in the DRCLSJJO result from the equilibrium point of the fast subsystem transitioning from a stable node to a stable focus. During this transition, damped rapid oscillations occur, which cease when the equilibrium point of the fast subsystem disappears. Two bifurcations responsible for initiating and terminating these rapid oscillations occur when the slow subsystem variable crosses two critical thresholds. To validate the effectiveness of the two configured single controllers in suppressing chaos in the DRCLSJJO, analytical and numerical analyses are conducted. These analyses aim to provide evidence and demonstrate the efficacy of the controllers in stabilizing the chaotic behavior exhibited by the DRCLSJJO.</p>

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Dynamical probing, bursting oscillations mechanism, and suppression of chaos in discontinuous Josephson junction oscillator embedded in the microcontroller

  • 期刊论文

  • 发表日期：

    2025年10月30日

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  • Parvathyshankar Deiva Sundari,
  • Petros Awilo,
  • Alex Stephane Kemnang Tsafack,
  • Isidore Komofor Ngongiah,
  • Karthikeyan Rajagopal,
  • Sifeu Takougang Kingni

摘要

This paper investigates the dynamics, microcontroller implementation, mechanisms of bursting oscillations, linear offset boosting of constants (LOBC), and chaos suppression in the discontinuous resistive-capacitive-inductive shunted Josephson junction (JJ) oscillator (DRCLSJJO). The DRCLSJJO exhibits periodic bursting characteristics, a coexistence of irregular and periodic behaviors, and chaotic attractors by varying the system’s parameters. The physical realization of these dynamical characteristics is achieved using the ATMEGA328P microcontroller. Additionally, LOBC based on the current state variable is demonstrated by introducing a parameter into the dimensionless system of the DRCLSJJO. This phenomenon allows for offset boosting in the current variable by adjusting the constant parameter. The bursting dynamics of the DRCLSJJO are examined by dividing it into two subsystems: the fast subsystem and the slow subsystem. This division aims to clarify the mechanisms behind the bursting oscillations. Through stability analysis of the fast subsystem, it is shown that the bursting oscillations in the DRCLSJJO result from the equilibrium point of the fast subsystem transitioning from a stable node to a stable focus. During this transition, damped rapid oscillations occur, which cease when the equilibrium point of the fast subsystem disappears. Two bifurcations responsible for initiating and terminating these rapid oscillations occur when the slow subsystem variable crosses two critical thresholds. To validate the effectiveness of the two configured single controllers in suppressing chaos in the DRCLSJJO, analytical and numerical analyses are conducted. These analyses aim to provide evidence and demonstrate the efficacy of the controllers in stabilizing the chaotic behavior exhibited by the DRCLSJJO.