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Control of inter-layer synchronization by multiplexing noise.

T E Vadivasova1, A V Slepnev1, A Zakharova2

  • 1Department of Physics, Saratov State University, 83 Astrakhanskaya Street, Saratov 410012, Russia.

Chaos (Woodbury, N.Y.)
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Summary
This summary is machine-generated.

This study explores how noisy inter-layer communication, termed multiplexing noise, influences synchronization in coupled chaotic map networks. Appropriate noise characteristics can induce synchronization in layers initially exhibiting chimera states.

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Area of Science:

  • Complex systems
  • Network science
  • Nonlinear dynamics

Background:

  • Studying synchronization in multilayer networks is crucial for understanding complex systems.
  • Chimera states, a mix of synchronized and desynchronized behavior, are observed in coupled oscillators.
  • Noisy inter-layer communication can significantly alter network dynamics.

Purpose of the Study:

  • To investigate the effect of multiplexing noise on spatio-temporal pattern synchronization in a two-layer network of chaotic maps.
  • To develop control strategies using parametric noise for synchronizing identical and non-identical network layers.
  • To understand the role of noise characteristics, such as spectral width, in achieving inter-layer synchronization.

Main Methods:

  • Modeling a two-layer network with nonlocally coupled chaotic maps.
  • Introducing multiplexing noise to modulate inter-layer coupling strength.
  • Analyzing the impact of noise intensity, frequency, and spectral width on synchronization dynamics.

Main Results:

  • Noisy modulation of inter-layer coupling strength significantly impacts network dynamics and synchronization.
  • Complete or partial synchronization can be achieved by carefully selecting noise intensity and frequency.
  • Colored noise with intermediate spectral width is crucial for inter-layer synchronization; white noise destroys it.

Conclusions:

  • Multiplexing noise offers a potential control mechanism for synchronization in multilayer networks.
  • The spectral properties of noise play a critical role in mediating synchronization.
  • This research provides foundational insights into the dynamics of noisy inter-layer communication in complex networks.