Spatial dynamics of swarmalators’ movements

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

doi:10.1016/j.amc.2023.128508

Applied Mathematics and Computation

2024

DOI: 10.1016/j.amc.2023.128508

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Spatial dynamics of swarmalators’ movements

Sheida Ansarinasab,

Fahimeh Nazarimehr,

Farnaz Ghassemi

et al.

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2024

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Cited by 3 publications

References 31 publications

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Optimized multi-variable coupling can improve synchronization in complex networks

Ansarinasab,

Parastesh,

Ghassemi

et al. 2024

Nonlinear Dyn

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Optimized multi-variable coupling can improve synchronization in complex networks

Ansarinasab,

Parastesh,

Ghassemi

et al. 2024

Nonlinear Dyn

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Data-driven exploration of swarmalators with second-order harmonics

Senthamizhan,

Gopal,

Chandrasekar

2024

Phys. Rev. E

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Approximating the Splitting Point of the Swarmalator Model

Gong,

Zhou,

Huang

2024

Int. J. Bifurcation Chaos

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Swarmalator model attracts the attention of numerous scholars because of its rich dynamical behaviors. We investigate the reason for the phase transition that occurs in a 2D swarmalator model, and conclude that the limit cycle, a reflection of the coexistence of the forces of maintaining and disrupting orders, results in the various clustering phenomena. Through novel mean-field approximation and using the self-consistency argument method, we prove the clustering conditions and the influence of the number of clusters on the existence of clusters, and provide estimates of the cluster size of the splintered phase wave state and the phase transition threshold between the splintered phase wave state and active phase wave state. Due to the widespread presence of nonlinearity, our study is essential to the analysis of clustering phenomena in real physical models.

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Spatial dynamics of swarmalators’ movements

Cited by 3 publications

References 31 publications

Optimized multi-variable coupling can improve synchronization in complex networks

Optimized multi-variable coupling can improve synchronization in complex networks

Data-driven exploration of swarmalators with second-order harmonics

Approximating the Splitting Point of the Swarmalator Model

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