IDEAS home Printed from https://ideas.repec.org/a/adm/journl/v4y2015i3p29-33.html
   My bibliography  Save this article

Jerk and Hyperjerk in a Rotating Frame of Reference

Author

Listed:
  • Amelia Carolina Sparavigna

Abstract

Jerk is the derivative of acceleration with respect to time and then it is the third order derivative of the position vector. Hyperjerks are the n-th order derivatives with n>3. This paper describes the relations, for jerks and hyperjerks, between the quantities measured in an inertial frame of reference and those observed in a rotating frame. These relations can be interesting for teaching purposes.

Suggested Citation

  • Amelia Carolina Sparavigna, 2015. "Jerk and Hyperjerk in a Rotating Frame of Reference," International Journal of Sciences, Office ijSciences, vol. 4(03), pages 29-33, March.
    • Handle: RePEc:adm:journl:v:4:y:2015:i:3:p:29-33
    DOI: 10.18483/ijSci.655
    as

    Download full text from publisher

    File URL: https://www.ijsciences.com/pub/article/655
    Download Restriction: no
    File URL: https://www.ijsciences.com/pub/pdf/V420150319.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.18483/ijSci.655?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. Chlouverakis, Konstantinos E. & Sprott, J.C., 2006. "Chaotic hyperjerk systems," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 739-746.
    2. Jeremy Bloxham & Stephen Zatman & Mathieu Dumberry, 2002. "The origin of geomagnetic jerks," Nature, Nature, vol. 420(6911), pages 65-68, November.
    Full references (including those not matched with items on IDEAS)

    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. Wang, Zhen & Ahmadi, Atefeh & Tian, Huaigu & Jafari, Sajad & Chen, Guanrong, 2023. "Lower-dimensional simple chaotic systems with spectacular features," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    2. Leutcho, Gervais Dolvis & Kengne, Jacques, 2018. "A unique chaotic snap system with a smoothly adjustable symmetry and nonlinearity: Chaos, offset-boosting, antimonotonicity, and coexisting multiple attractors," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 275-293.
    3. Kuate, Paul Didier Kamdem & Tchendjeu, Achille Ecladore Tchahou & Fotsin, Hilaire, 2020. "A modified Rössler prototype-4 system based on Chua’s diode nonlinearity : Dynamics, multistability, multiscroll generation and FPGA implementation," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    4. Lizama, Carlos & Murillo-Arcila, Marina, 2023. "On the existence of chaos for the fourth-order Moore–Gibson–Thompson equation," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    5. Tchitnga, R. & Mezatio, B.A. & Fozin, T. Fonzin & Kengne, R. & Louodop Fotso, P.H. & Fomethe, A., 2019. "A novel hyperchaotic three-component oscillator operating at high frequency," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 166-180.
    6. Chu, Yan-Dong & Li, Xian-Feng & Zhang, Jian-Gang & Chang, Ying-Xiang, 2009. "Nonlinear dynamics analysis of a modified optically injected semiconductor lasers model," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 14-27.
    7. Prasina Alexander & Selçuk Emiroğlu & Sathiyadevi Kanagaraj & Akif Akgul & Karthikeyan Rajagopal, 2023. "Infinite coexisting attractors in an autonomous hyperchaotic megastable oscillator and linear quadratic regulator-based control and synchronization," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(1), pages 1-13, January.
    8. Linz, Stefan J., 2008. "On hyperjerky systems," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 741-747.
    9. Munmuangsaen, Buncha & Srisuchinwong, Banlue, 2011. "Elementary chaotic snap flows," Chaos, Solitons & Fractals, Elsevier, vol. 44(11), pages 995-1003.
    10. Njitacke, Z.T. & Kengne, J. & Tapche, R. Wafo & Pelap, F.B., 2018. "Uncertain destination dynamics of a novel memristive 4D autonomous system," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 177-185.
    11. Rech, Paulo C., 2022. "Self-excited and hidden attractors in a multistable jerk system," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    12. Munmuangsaen, Buncha & Srisuchinwong, Banlue, 2018. "A hidden chaotic attractor in the classical Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 61-66.
    13. Leutcho, G.D. & Kengne, J. & Kengne, L. Kamdjeu, 2018. "Dynamical analysis of a novel autonomous 4-D hyperjerk circuit with hyperbolic sine nonlinearity: Chaos, antimonotonicity and a plethora of coexisting attractors," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 67-87.

    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:adm:journl:v:4:y:2015:i:3:p:29-33. 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: Staff ijSciences (email available below). General contact details of provider: .

    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.