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ORIGINAL RESEARCH article

Front. Phys.
Sec. Interdisciplinary Physics
Volume 12 - 2024 | doi: 10.3389/fphy.2024.1452138

Dynamic behavior of a two-mass nonlinear fractional-order vibration system

Provisionally accepted
Yu-Xing Han Yu-Xing Han 1Jia-Xin Zhang Jia-Xin Zhang 2Yu-Lan Wang Yu-Lan Wang 3*
  • 1 Capital Medical University Second Clinical School, Capital Medical University, Beijing, China, Beijing, China
  • 2 College of Information \& network Engineering, Anhui Science and technology university, Anhui, China, Anhui, China
  • 3 Department of Mathematics, College of Science, Inner Mongolia University of Technology, Hohhot, Inner Mongolia Autonomous Region, China

The final, formatted version of the article will be published soon.

    The two-mass nonlinear vocal cord vibration system (VCVS) serves as a mechanical representation of the fundamental vocalization process. Traditional models of the VCVS, which are based on integer-order dynamics, often overlook the impact of memory effects. To address this limitation and enhance the accuracy of simulations, this study incorporates the memory effects of vocal cord vibrations by integrating the Grunwald-Letnikov fractional derivative into the two-mass nonlinear VCVS framework. Initially, a high-precision computational scheme is formulated for the two-mass nonlinear fractional-order VCVS. Subsequently, the model undergoes a comprehensive series of numerical simulations to investigate its dynamic characteristics. The findings reveal that the dynamics of the fractional-order VCVS exhibit a significantly higher complexity compared to the conventional integer-order models, with the emergence of novel chaotic behaviors that were previously unobserved.

    Keywords: Fractional-order vibration system, Novel chaotic dynamic behavior, High precision numerical method, Vibration system, vocal cord vibration system

    Received: 20 Jun 2024; Accepted: 09 Aug 2024.

    Copyright: © 2024 Han, Zhang and Wang. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence: Yu-Lan Wang, Department of Mathematics, College of Science, Inner Mongolia University of Technology, Hohhot, Inner Mongolia Autonomous Region, China

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