IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v114y2018icp306-311.html
   My bibliography  Save this article

Effects of different initial conditions on the emergence of chimera states

Author

Listed:
  • Faghani, Zahra
  • Arab, Zahra
  • Parastesh, Fatemeh
  • Jafari, Sajad
  • Perc, Matjaž
  • Slavinec, Mitja

Abstract

Chimeras are fascinating spatiotemporal states that emerge in coupled oscillators. These states are characterized by the coexistence of coherent and incoherent dynamics, and since their discovery, they have been observed in a rich variety of different systems. Here, we consider a system of non-locally coupled three-dimensional dynamical systems, which are characterized by the coexistence of fixed-points, limit cycles, and strange attractors. This coexistence creates an opportunity to study the effects of different initial conditions – from different basins of attraction – on the emergence of chimera states. By choosing initial conditions from different basins of attraction, and by varying also the coupling strength, we observe different spatiotemporal solutions, ranging from chimera states to synchronous, imperfect synchronous, and asynchronous states. We also determine conditions, in dependence on the basins of attraction, that must be met for the emergence of chimera states.

Suggested Citation

  • Faghani, Zahra & Arab, Zahra & Parastesh, Fatemeh & Jafari, Sajad & Perc, Matjaž & Slavinec, Mitja, 2018. "Effects of different initial conditions on the emergence of chimera states," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 306-311.
    • Handle: RePEc:eee:chsofr:v:114:y:2018:i:c:p:306-311
    DOI: 10.1016/j.chaos.2018.07.023
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077918306155
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2018.07.023?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. Parastesh, Fatemeh & Jafari, Sajad & Azarnoush, Hamed & Hatef, Boshra & Bountis, Anastasios, 2018. "Imperfect chimeras in a ring of four-dimensional simplified Lorenz systems," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 203-208.
    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. Lazarides, N. & Hizanidis, J. & Tsironis, G.P., 2020. "Controlled generation of chimera states in SQUID metasurfaces using DC flux gradients," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    2. Cabanas, A.M. & Vélez, J.A. & Pérez, L.M. & Díaz, P. & Clerc, M.G. & Laroze, D. & Malomed, B.A., 2021. "Dissipative structures in a parametrically driven dissipative lattice: Chimera, localized disorder, continuous-wave, and staggered states," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).

    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. Lazarides, N. & Hizanidis, J. & Tsironis, G.P., 2020. "Controlled generation of chimera states in SQUID metasurfaces using DC flux gradients," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    2. Paul Asir, M., 2023. "Chimeras in complex networks: A gear by nonlinear mean-field," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).

    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:114:y:2018:i:c:p:306-311. 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.