Oscillatory behavior in a system of swarmalators with a short-range repulsive interaction

Synchronized oscillations in swarms of nematode Turbatrix aceti

“…In this model, the position of the particles and the state of the oscillator are interdependent, which distinguish it from previous studies where these two quantities were assumed to be independent. This model has since been complemented by more analytical and numerical investigations, [12][13][14][15] which found states with locally synchronized oscillations and particles traveling in waves. However, none of these studied models have shown a traveling wave state.…”

Collective behaviour of swarmalators on a 1D ring

“…O'Keeffe et al introduced a model of 'swarmalators' [69] whose collective states have been realized in Nature and technology [21,25,26] and is being actively extended. The inclusion of noise [37], local coupling [38,39], periodic forcing [40], mixed sign interactions [41], and finite N effects [42] have been studied. The potential of swarmalators in bio-inspired computing has been explored [43], as has the well-posedness of N → ∞ solutions of the swarmalator model [44,45].…”

Coupling disorder in a population of swarmalators

“…When the positive-definiteness of m is considered in Eq. (11), one knows that the sign of K ij determines whether φ i will decay or not. This is because every eigenvalue of positive-definite matrix is positive.…”

“…The collective property of finite number of swarmalators is studied [3], the implementation in robots is tried as an application [4], and various steady states by finite interaction-distance is reported [5]. In the theoretical and practical interest, the swarmalator model has been studied in the various fields ranging from science to engineering [6][7][8][9][10][11].…”