Scholarlink

Background <p>In the Josephson junction (JJ), regular damping is observed under conditions of low temperatures and voltages. However, nonlinear damping occurs when temperatures and voltages are elevated.</p> Aim <p>This paper studies the dynamical examination, microcontroller realization and suppression of chaos employing genetic algorithms (GAs) in the smooth nonlinear resistor–capacitor inductor shunted Josephson junction (JJ) circuit (SNRCISJJC).</p> Methods <p>Kirchhoff’s laws are used to derive the three-dimensional system with four control parameters describing the SNRCISJJC. The fourth order Runge Kutta algorithm is employed for integration, the ATMEGA2560 for the experimental scheme, and the GAs for parameter optimization.</p> Results <p>SNRCISJJC has no or two steady states depending on the applied current. Leaning on stability exploration of the two steady states, it is unveiled that one steady state is stable and the other steady state is unstable. The SNRCISJJC exhibits period tripling to chaos, intermittency route to chaos, periodic characteristics, periodic bursting characteristics, twelve different shapes of chaotic characteristics, and coexisting characteristics which are validated by the microcontroller scheme. By optimizing all the parameters of SNRCISJJC employing GAs, the chaotic time series of state variables of SNRCISJJC converge towards one of the two steady states which confirm chaos suppression in the SNRCISJJC by employing GAs.</p> Conclusion <p>The chaotic structures reported in the SNRCISJJC are proven by the microcontroller scheme and are&#xa0;controlled succesfully.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Dynamical Probing and Suppressing Chaos Using Genetic Algorithms in a Josephson Junction Model with Quadratic Damping Embedded in the Microcontroller Implementation

  • 期刊论文

  • 发表日期：

    2025年1月3日

查看全文
  • Jayaraman Venkatesh,
  • Aurelle Tchagna Kouanou,
  • Isidore Komofor Ngongiah,
  • D. Chandra Sekhar,
  • Sifeu Takougang Kingni

摘要

Background

In the Josephson junction (JJ), regular damping is observed under conditions of low temperatures and voltages. However, nonlinear damping occurs when temperatures and voltages are elevated.

Aim

This paper studies the dynamical examination, microcontroller realization and suppression of chaos employing genetic algorithms (GAs) in the smooth nonlinear resistor–capacitor inductor shunted Josephson junction (JJ) circuit (SNRCISJJC).

Methods

Kirchhoff’s laws are used to derive the three-dimensional system with four control parameters describing the SNRCISJJC. The fourth order Runge Kutta algorithm is employed for integration, the ATMEGA2560 for the experimental scheme, and the GAs for parameter optimization.

Results

SNRCISJJC has no or two steady states depending on the applied current. Leaning on stability exploration of the two steady states, it is unveiled that one steady state is stable and the other steady state is unstable. The SNRCISJJC exhibits period tripling to chaos, intermittency route to chaos, periodic characteristics, periodic bursting characteristics, twelve different shapes of chaotic characteristics, and coexisting characteristics which are validated by the microcontroller scheme. By optimizing all the parameters of SNRCISJJC employing GAs, the chaotic time series of state variables of SNRCISJJC converge towards one of the two steady states which confirm chaos suppression in the SNRCISJJC by employing GAs.

Conclusion

The chaotic structures reported in the SNRCISJJC are proven by the microcontroller scheme and are controlled succesfully.