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Synchronizing Chaos with Imperfections.

Yoshiki Sugitani1, Yuanzhao Zhang2,3, Adilson E Motter2,4

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Heterogeneity in nonlinear oscillator networks can surprisingly enhance chaos synchronization, enabling synchronization where identical oscillators fail. This finding reveals that system imperfections can unexpectedly improve synchronization stability.

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Area of Science:

  • Nonlinear dynamics
  • Complex systems
  • Network science

Background:

  • Chaos synchronization in identical nonlinear oscillator networks is well-established.
  • Parameter mismatches typically degrade synchronization in such networks.

Purpose of the Study:

  • To investigate the role of oscillator heterogeneity in chaos synchronization.
  • To identify conditions where heterogeneity enhances synchronization, even surpassing identical oscillator performance.

Main Methods:

  • Numerical simulations of nonlinear oscillator networks.
  • Experimental validation using Chua's oscillator networks.
  • Theoretical analysis employing heterogeneity-induced mode mixing.

Main Results:

  • Oscillator heterogeneity can achieve chaos synchronization when identical oscillators cannot.
  • This effect persists across random heterogeneity and various network structures.
  • Heterogeneity-induced mode mixing is identified as a key synchronization mechanism.

Conclusions:

  • System imperfections, such as oscillator heterogeneity, can be a source of enhanced synchronization stability.
  • This challenges the conventional view that parameter mismatches are detrimental to synchronization.