IDEAS home Printed from https://ideas.repec.org/a/hin/complx/5439596.html
   My bibliography  Save this article

Modeling of a Chaotic Gyrostat System and Mechanism Analysis of Dynamics Using Force and Energy

Author

Listed:
  • Guoyuan Qi
  • Xiaogang Yang

Abstract

Incorporating both viscous friction torque and external torque, a mathematical model of a gyrostat system consisting of three rotors and a fixed outer frame is configured. This model is transformed into a Kolmogorov-type system for force analysis. The force field in the gyrostat system includes four different torques—inertial, internal, dissipative, and external. Correspondingly, four different energies are identified and the interconversion of energies is analyzed. The Casimir power being equivalent to the error power between the supplied power and the dissipative power is found and used to analyze the mechanism underlying the different dynamical behaviors. A four-wing chaotic attractor is found when the gyrostat is subject to a combination of inertial, internal, and dissipative torques as well as the addition of an external torque. The bifurcation of the Casimir power and leaps in Casimir energy level are used as indicators of the different definitive dynamics, which is demonstrated to be identical to that appearing in the state bifurcation and the Lyapunov exponent spectrum.

Suggested Citation

  • Guoyuan Qi & Xiaogang Yang, 2019. "Modeling of a Chaotic Gyrostat System and Mechanism Analysis of Dynamics Using Force and Energy," Complexity, Hindawi, vol. 2019, pages 1-13, July.
    • Handle: RePEc:hin:complx:5439596
    DOI: 10.1155/2019/5439596
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2019/5439596.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/8503/2019/5439596.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2019/5439596?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Qi, Guoyuan & Zhang, Jiangfeng, 2017. "Energy cycle and bound of Qi chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 7-15.
    2. Pelino, Vinicio & Maimone, Filippo & Pasini, Antonello, 2014. "Energy cycle for the Lorenz attractor," Chaos, Solitons & Fractals, Elsevier, vol. 64(C), pages 67-77.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Muhammad Marwan & Vagner Dos Santos & Muhammad Zainul Abidin & Anda Xiong, 2022. "Coexisting Attractor in a Gyrostat Chaotic System via Basin of Attraction and Synchronization of Two Nonidentical Mechanical Systems," Mathematics, MDPI, vol. 10(11), pages 1-15, June.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jia, Hongyan & Shi, Wenxin & Wang, Lei & Qi, Guoyuan, 2020. "Energy analysis of Sprott-A system and generation of a new Hamiltonian conservative chaotic system with coexisting hidden attractors," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    2. Yang, Yingjuan & Qi, Guoyuan, 2018. "Mechanical analysis and bound of plasma chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 187-195.
    3. Haiyun Bi & Guoyuan Qi & Jianbing Hu, 2019. "Modeling and Analysis of Chaos and Bifurcations for the Attitude System of a Quadrotor Unmanned Aerial Vehicle," Complexity, Hindawi, vol. 2019, pages 1-16, October.
    4. Yang, Shuangling & Qu, Jingjia, 2021. "On first integrals of a family of generalized Lorenz-like systems," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    5. Hou, Yi-You & Lin, Ming-Hung & Saberi-Nik, Hassan & Arya, Yogendra, 2024. "Boundary analysis and energy feedback control of fractional-order extended Malkus–Robbins dynamo system," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    6. Zhou, Ping & Hu, Xikui & Zhu, Zhigang & Ma, Jun, 2021. "What is the most suitable Lyapunov function?," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    7. Alexander Gluhovsky, 2017. "A Gyrostatic Low-Order Model for the El Ñino-Southern Oscillation," Complexity, Hindawi, vol. 2017, pages 1-4, January.
    8. Qi, Guoyuan & Zhang, Jiangfeng, 2017. "Energy cycle and bound of Qi chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 7-15.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:complx:5439596. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.