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Emergent dynamics in heterogeneous pulsatile swarmalators.

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This study explores pulsatile swarmalator models with non-identical oscillators. Heterogeneity in natural frequencies leads to novel collective dynamics, potentially observable in real-world systems like frog choruses.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Theoretical Biology

Background:

  • Swarmalator models describe coupled oscillators exhibiting collective behaviors.
  • Previous work focused on identical swarmalators, limiting applicability to real-world scenarios.
  • Pulsatile phase dynamics, inspired by the Winfree model, are crucial for oscillator synchronization.

Purpose of the Study:

  • To investigate the collective dynamics of a one-dimensional swarmalator model with non-identical oscillators.
  • To generalize previous findings by incorporating heterogeneity in natural frequencies.
  • To identify new emergent states arising from frequency distribution in swarmalator populations.

Main Methods:

  • Developed a variant of the one-dimensional swarmalator model with pulsatile phase dynamics.
  • Introduced random distributions for natural frequencies to simulate non-identical swarmalators.
  • Analyzed the resulting collective behaviors using mathematical modeling and simulation.

Main Results:

  • Frequency heterogeneity in swarmalators leads to previously unobserved collective dynamics.
  • Identified novel synchronized and desynchronized states driven by the distribution of natural frequencies.
  • The pulsatile nature of phase dynamics interacts with heterogeneity to create complex emergent patterns.

Conclusions:

  • Non-identical swarmalators exhibit richer collective dynamics than their identical counterparts.
  • The findings provide a more realistic framework for studying biological swarms and oscillator networks.
  • These results may explain observed collective behaviors in systems like Japanese Tree frogs and sperm populations.