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Spatial dynamics of swarmalators’ movements

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  • Ansarinasab, Sheida
  • Nazarimehr, Fahimeh
  • Ghassemi, Farnaz
  • Ghosh, Dibakar
  • Jafari, Sajad

Abstract

The simultaneous interactions of synchronization and swarming phenomena are the primary basis for the functioning of many natural systems, such as vinegar eels, sperms, and magnetic particles. Investigating the dual behavior of these particles, which are called swarmalators, has recently attracted the attention of many researchers. However, more needs to be done to analyze the dynamics of swarmalators separately. This paper explores the dynamics of the swarmalators' movements individually over time in two-dimensional plane. This study's findings represent that based on the two rules of high sensitivity to the initial conditions and the positive largest Lyapunov exponent, the swarmalators’ movements in the dynamic states have a chaotic nature. This result can lead to a deeper understanding of the complex dynamics of natural swarmalators. It may provide an opportunity for other researchers to analyze the individual behavior of swarmalators along with their collective behavior.

Suggested Citation

  • Ansarinasab, Sheida & Nazarimehr, Fahimeh & Ghassemi, Farnaz & Ghosh, Dibakar & Jafari, Sajad, 2024. "Spatial dynamics of swarmalators’ movements," Applied Mathematics and Computation, Elsevier, vol. 468(C).
    • Handle: RePEc:eee:apmaco:v:468:y:2024:i:c:s009630032300677x
    DOI: 10.1016/j.amc.2023.128508
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    References listed on IDEAS

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    1. Ansarinasab, Sheida & Panahi, Shirin & Ghassemi, Farnaz & Ghosh, Dibakar & Jafari, Sajad, 2022. "Synchronization stability analysis of functional brain networks in boys with ADHD during facial emotions processing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    2. Kevin P. O’Keeffe & Hyunsuk Hong & Steven H. Strogatz, 2017. "Oscillators that sync and swarm," Nature Communications, Nature, vol. 8(1), pages 1-13, December.
    3. S. Effah-Poku & W. Obeng-Denteh & I. K. Dontwi, 2018. "A Study of Chaos in Dynamical Systems," Journal of Mathematics, Hindawi, vol. 2018, pages 1-5, March.
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