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Jan O Haerter1,2, Albert Díaz-Guilera1,3, M Ángeles Serrano1,3,4

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Noise can trigger polarization switching in bistable systems with significant dynamical correlations. In contrast, high noise collapses bistability in large networks, but causes irreversible switching in sparse networks.

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Area of Science:

  • Complex Systems Dynamics
  • Network Science
  • Statistical Physics

Background:

  • Bistability and noise are common in complex systems, influencing their function and resilience.
  • Understanding how noise affects system polarization is crucial for predicting behavior.

Purpose of the Study:

  • To investigate the role of noise in inducing polarization switching in bistable systems.
  • To explore the impact of network structure and dynamical correlations on noise-induced transitions.

Main Methods:

  • A simple three-state dynamical process was modeled.
  • Simulations were conducted on fully connected and sparsely connected networks, as well as multiplex networks.

Main Results:

  • Significant dynamical correlations enable noise to induce polarization switching.
  • In large, fully connected networks, noise leads to an unpolarized state.
  • Sparse networks exhibit abrupt, irreversible polarization switching with increased noise.
  • In multiplex networks, a dominant layer influences polarization switching.

Conclusions:

  • The interplay between noise and dynamical correlations can cause discontinuous transitions in bistable systems.
  • Mean-field descriptions are insufficient to explain these noise-induced phenomena.