AI Article Synopsis

  • The study explores a population with two types of oscillatory elements: one attracts and the other repels.
  • Different internal timescales for these groups are examined to understand their effect on synchronization.
  • The findings reveal that the timescale differences can drastically alter synchronization behavior, leading to phenomena like bistability and influencing states like frozen and solitary regimes.

Article Abstract

We study a heterogeneous population consisting of two groups of oscillatory elements, one with attractive and one with repulsive coupling. Moreover, we set different internal timescales for the oscillators of the two groups and concentrate on the role of this timescale separation in the collective behavior. Our results demonstrate that it may significantly modify synchronization properties of the system, and the implications are fundamentally different depending on the ratio between the group timescales. For the slower attractive group, synchronization properties are similar to the case of equal timescales. However, when the attractive group is faster, these properties significantly change and bistability appears. The other collective regimes such as frozen states and solitary states are also shown to be crucially influenced by timescale separation.

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Source
http://dx.doi.org/10.1063/5.0009074DOI Listing

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