Autors: Cherneva G P., Filipova-Petrakieva, S. K.
Title: Numerical Study on the Electrical Circuit, Presented by Duffing’s Equation
Keywords: chaos behavior, Duffing’s equation, Duffing’s oscillator

Abstract: Duffing’s equation is a non-linear second-order ordinary differential equation, describing processes with different physical natures. It analyses the status of deterministic dynamical systems. The Duffing’s oscillators can be realized by serial connection of resistor, coil, and capacitor, where only the latter one is non-linear. The other two passive elements are linear. In the present paper, the simplest Duffing’s oscillator is considered. On this base, the dynamics of the studied electrical circuit are discussed. Duffing’s equation solution is simulated by the Matlab/Simulink model. The paper finishes with conclusion remarks about the adequacy of the proposed model to solve Duffing’s equation.

References

    Issue

    11th International Scientific Conference on Computer Science, COMSCI 2023, 2023, Bulgaria, DOI 10.1109/COMSCI59259.2023.10315933

    Copyright IEEE Xplore

    Цитирания (Citation/s):
    1. Kabziński, J., Robust Control of Duffing Oscillators with Unknown Parameters, Proceedings of 28th International Conference on Methods and Models in Automation and Robotics, MMAR 2024, Miedzyzdroje, 27 - 30 August 2024, Code: 202817, ISBN: 979-835036234-3, DOI: 10.1109/MMAR62187.2024.10680797 https://www.scopus.com/record/display.uri?eid=2-s2.0-85186342250&origin=resultslist - 2024 - в издания, индексирани в Scopus или Web of Science
    2. Makedonski N., Parushev P., Panchev H., Duganov M., An experimental study on the power conditioning in an electrical network, XVI International Conference BulEF’2024, 19-22.09.2024, Varna, Bulgaria, ISBN: 979-8-3503-9167-1, 2024, Code 205316, Conference ID in IEEE Xplore: 63204X, DOI: 10.1109/BULEF63204.2024.10794846 https://ieeexplore.ieee.org/document/10794846 https://www.scopus.com/record/display.uri?origin=citedby&eid=2-s2.0-85216106914&noHighlight=false&relpos=1 - 2024 - в издания, индексирани в Scopus или Web of Science
    3. Parushev Pl., Panchev H., Makedonski N., Kanchev N., Ivanova G., Duganov M., Increasing the electrical efficiency of compressors, XVI International Conference BulEF’2024, 19-22.09.2024, Varna, Bulgaria, ISBN: 979-8-3503-9167-1, 2024, Code 205316, Conference ID in IEEE Xplore: 63204X, DOI: 10.1109/BulEF63204.2024.10794876 https://ieeexplore.ieee.org/document/10794876 https://www.scopus.com/record/display.uri?origin=citedby&eid=2-s2.0-85216124362&noHighlight=false&relpos=0 - 2024 - в издания, индексирани в Scopus или Web of Science

    Вид: публикация в национален форум с межд. уч., публикация в реферирано издание, индексирана в Scopus