IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v32y2007i2p758-767.html
   My bibliography  Save this article

Noise-induced basin hopping in a vibro-impact system

Author

Listed:
  • de Souza, Silvio L.T.
  • Batista, Antonio M.
  • Caldas, Iberê L.
  • Viana, Ricardo L.
  • Kapitaniak, Tomasz

Abstract

The dynamics of vibro-impact systems of engineering interest is numerically studied by means of a prototype consisting of an oscillating cart containing a ball undergoing inelastic collisions with its walls. We have described a multistable regime, for which different attractors coexist with a complicated basin boundary structure in the phase space. We investigated the effect of adding a certain amount of parametric noise in this model, focusing on the basin hopping, i.e., the intermittent switching between basins of different attractors.

Suggested Citation

  • de Souza, Silvio L.T. & Batista, Antonio M. & Caldas, Iberê L. & Viana, Ricardo L. & Kapitaniak, Tomasz, 2007. "Noise-induced basin hopping in a vibro-impact system," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 758-767.
  • Handle: RePEc:eee:chsofr:v:32:y:2007:i:2:p:758-767
    DOI: 10.1016/j.chaos.2005.11.056
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077905011112
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2005.11.056?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. de Souza, Sílvio L.T. & Caldas, Iberê L. & Viana, Ricardo L. & Batista, Antônio M. & Kapitaniak, Tomasz, 2005. "Noise-induced basin hopping in a gearbox model," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1523-1531.
    2. Patnaik, P.R., 2005. "Application of the Lyapunov exponent to detect noise-induced chaos in oscillating microbial cultures," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 759-765.
    3. Gan, Chunbiao, 2005. "Noise-induced chaos and basin erosion in softening Duffing oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1069-1081.
    4. Rajasekar, S. & Valsakumar, M.C. & Raj, S.Paul, 1998. "Noise-induced jumps in two coupled Duffing oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 417-434.
    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. de Souza, S.L.T. & Batista, A.M. & Baptista, M.S. & Caldas, I.L. & Balthazar, J.M., 2017. "Characterization in bi-parameter space of a non-ideal oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 224-231.
    2. Mandal, Sayan & Sk, Nazmul & Tiwari, Pankaj Kumar & Chattopadhyay, Joydev, 2024. "Bistability in modified Holling II response model with harvesting and Allee effect: Exploring transitions in a noisy environment," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    3. Xiong Wang & Akif Akgul & Sezgin Kacar & Viet-Thanh Pham, 2017. "Multimedia Security Application of a Ten-Term Chaotic System without Equilibrium," Complexity, Hindawi, vol. 2017, pages 1-10, November.
    4. Richter, Hendrik, 2008. "On a family of maps with multiple chaotic attractors," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 559-571.
    5. Munmuangsaen, Buncha & Srisuchinwong, Banlue, 2018. "A hidden chaotic attractor in the classical Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 61-66.

    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. Siewe, M. Siewe & Kenfack, W. Fokou & Kofane, T.C., 2019. "Probabilistic response of an electromagnetic transducer with nonlinear magnetic coupling under bounded noise excitation," Chaos, Solitons & Fractals, Elsevier, vol. 124(C), pages 26-35.
    2. Bashkirtseva, Irina & Zaitseva, Svetlana, 2021. "Variability, transients and excitement in a stochastic model of enzyme kinetics," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    3. Gan, Chunbiao, 2006. "Noise-induced chaos in a quadratically nonlinear oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 920-929.
    4. Gan, Chunbiao & He, Shimin, 2008. "Surrogate test for noise-contaminated dynamics in the Duffing oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1517-1522.
    5. Litak, Grzegorz & Borowiec, Marek & Friswell, Michael I. & Przystupa, Wojciech, 2009. "Chaotic response of a quarter car model forced by a road profile with a stochastic component," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2448-2456.
    6. de Souza, S.L.T. & Batista, A.M. & Baptista, M.S. & Caldas, I.L. & Balthazar, J.M., 2017. "Characterization in bi-parameter space of a non-ideal oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 224-231.
    7. Shang, Huilin & Xu, Jian, 2009. "Delayed feedbacks to control the fractal erosion of safe basins in a parametrically excited system," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1880-1896.
    8. Bel, G. & Alexandrov, B.S. & Bishop, A.R. & Rasmussen, K.Ø., 2023. "Patterns and stability of coupled multi-stable nonlinear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).

    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:eee:chsofr:v:32:y:2007:i:2:p:758-767. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.