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October 13, 2025Open Access

Is directed percolation class for synchronization transition robust with multi-site interactions?

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Authors

MWManoj C. WarambhePGPrashant M. Gade

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Overview

Analysis demonstrates distinct synchronization transitions in networks with multi-site interactions, indicating new universality classes.

Key Points

  • At the critical point for 3 and 5-site interactions, the flip rate exponent of 0.159 matches directed percolation class behavior.
  • The persistence of sites shows a decay of P(t) with an exponent of 1.5 at the critical point, aligning with directed percolation metrics.
  • For 2 and 4-site interactions, different behaviors in critical exponents suggest new universality classes may emerge in synchronized states.
  • Logarithmic oscillations observed at the critical point for 4-site coupling indicate complex dynamics beyond standard power-law decay.

Cite This Study

Warambhe et al. (2025) studied this question.

synapsesocial.com/papers/68ecc715d1cc7436f7d18abchttps://doi.org/10.48550/arxiv.2503.00536
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