Scholarlink

<p>In this work, a novel fractional-order chaotic circuit incorporating a hyperbolic sine function is introduced. The circuit’s nonlinear dynamics are investigated through stability analysis, the influence of changing the system parameters and Lyapunov exponent, revealing a rich spectrum of behaviors, including an unstable saddle fixed point, periodic/quasi-periodic orbits, chaotic dynamics, and strange attractors. Numerical simulations are conducted using Caputo fractional order, Caputo integer order, and generalized Caputo fractional order for the proposed system, showing trajectories that exhibit consistent aperiodic states and bounded patterns with increased complexity in the latter case. The circuit design is further validated through experimental simulations, demonstrating strong alignment with numerical results. Additionally, an image encryption algorithm utilizing pseudorandom numbers generated by the proposed chaotic circuit is developed and evaluated. The encryption scheme indicates robust performance, verified through comprehensive security analyses, highlighting its potential for secure communication applications.</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

A novel chaotic fractional-order hyperbolic-sine-based electrical circuit: stability analysis, simulation, and image encryption application

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年5月11日

查看全文
  • H. A. Salman,
  • F. M. Kamal,
  • A. H. Abdel Kader

摘要

In this work, a novel fractional-order chaotic circuit incorporating a hyperbolic sine function is introduced. The circuit’s nonlinear dynamics are investigated through stability analysis, the influence of changing the system parameters and Lyapunov exponent, revealing a rich spectrum of behaviors, including an unstable saddle fixed point, periodic/quasi-periodic orbits, chaotic dynamics, and strange attractors. Numerical simulations are conducted using Caputo fractional order, Caputo integer order, and generalized Caputo fractional order for the proposed system, showing trajectories that exhibit consistent aperiodic states and bounded patterns with increased complexity in the latter case. The circuit design is further validated through experimental simulations, demonstrating strong alignment with numerical results. Additionally, an image encryption algorithm utilizing pseudorandom numbers generated by the proposed chaotic circuit is developed and evaluated. The encryption scheme indicates robust performance, verified through comprehensive security analyses, highlighting its potential for secure communication applications.