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One of the most important applications of the chaotic attractor of the fractional Rucklidge oscillator model is in communication. In this paper, an attempt has been made to apply a new scheme for the ABC-FD approach in order to solve the Fractional Riccati Equation and the Rucklidge Oscillator Model. The results of the approaches have symmetrically been taken out from the Runge-Kutta method of the fourth order, i.e., RK4. The obtained results from the suggested method showed similar results with that obtained from the RK4 approach. Chaos could also be obtained through ABC-FD. This will help improve the effectiveness of the other systems, hence increasing efficiency. The approach can therefore be used to apply this approach to several fields in engineering. With its capability to model chaotic systems quite accurately, and also to solve fractional differential equations, it can find potential applications in communication systems, signal processing, and control theory, among many others. The ABC-FD scheme enabled the engineer to optimize those systems even more and make even better designs that would accommodate nonlinear dynamics.

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Fractional Derivative Approach for Modeling Chaotic Dynamics: Applications in Communication and Engineering Systems

  • 会议论文

  • 发表日期：

    2025年

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  • Mohamed A. Abdoon

摘要

One of the most important applications of the chaotic attractor of the fractional Rucklidge oscillator model is in communication. In this paper, an attempt has been made to apply a new scheme for the ABC-FD approach in order to solve the Fractional Riccati Equation and the Rucklidge Oscillator Model. The results of the approaches have symmetrically been taken out from the Runge-Kutta method of the fourth order, i.e., RK4. The obtained results from the suggested method showed similar results with that obtained from the RK4 approach. Chaos could also be obtained through ABC-FD. This will help improve the effectiveness of the other systems, hence increasing efficiency. The approach can therefore be used to apply this approach to several fields in engineering. With its capability to model chaotic systems quite accurately, and also to solve fractional differential equations, it can find potential applications in communication systems, signal processing, and control theory, among many others. The ABC-FD scheme enabled the engineer to optimize those systems even more and make even better designs that would accommodate nonlinear dynamics.