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Synchronization (self-organization in time) and swarming (self-organization in space) are
universal phenomena that co-occur in many biological and physical systems. Swarmalators are
entities that swarm through space and synchronize in time and are potentially considered to
replicate the complex dynamics of many real-world systems. We will discuss minimal model of
swarmalators which are solvable and give rich dynamics. Previously, the internal dynamics of
swarmalators have been taken as a phase oscillator inspired by the Kuramoto model. Here we
examine the internal dynamics utilizing an amplitude oscillator capable of exhibiting periodic
and chaotic behaviors. We discuss the effect of a predator-like agent in the swarmalators model.
The collective behaviors of swarmalators with higher-order interactions is also discuss.
Keywords: Swarming, synchronization, stability analysis.
References:
[1] Gourab Kumar Sar, Dibakar Ghosh, and Kevin O’Keeffe, Phys. Rev. E, 109, 044603 (2024).
[2] Samali Ghosh, Suvam Pal, Gourab Kumar Sar, and Dibakar Ghosh, Phys. Rev. E, 109, 054205
(2024).
[3] Md Sayeed Anwar, Gourab Kumar Sar, Matjaž Perc and Dibakar Ghosh, Communications Physics,
7, 59 ( 2024).
[4] Kevin O’Keeffe, Gourab Kumar Sar, Md Sayeed Anwar, Joao U. F. Lizárraga, Marcus A. M. de
Aguiar and Dibakar Ghosh, Proceedings of the Royal Society A, 480, 20240448 (2024).
[5] Gourab Kumar Sar, and Dibakar Ghosh, Chaos, 33, 123126 (2023).
[6] Samali Ghosh, Gourab Kumar Sar, Soumen Majhi, Dibakar Ghosh, Phys. Rev. E, 108, 034217
(2023).
[7] Md Sayeed Anwar, Gourab Kumar Sar, Timoteo Carletti, and Dibakar Ghosh,
SIAM Journal on Applied Mathematics (2025). |