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Self-organized correlations lead to explosive synchronization.

Yang Chen1, Zhoujian Cao2, Shihong Wang1

  • 1School of Sciences, Beijing University of Posts and Telecommunications, Beijing 100876, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 14, 2015
PubMed
Summary
This summary is machine-generated.

Explosive synchronization (ES) is now achievable without prior parameter constraints. This emergent phenomenon in oscillatory networks can arise from self-organized network evolution, broadening ES applications.

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Area of Science:

  • Complex systems
  • Nonlinear dynamics
  • Network science

Background:

  • Explosive synchronization (ES) is a novel first-order phase transition with significant theoretical and applied interest.
  • Existing ES observations are limited by specific correlation constraints on system parameters, hindering broader applicability.

Purpose of the Study:

  • To demonstrate that explosive synchronization can emerge in heterogeneous networks without prior parameter correlations.
  • To lift the restrictions on parameter correlations for ES, enhancing its generality.

Main Methods:

  • Analysis of chemical reaction-diffusion systems and their reduced order parameter versions, the complex Ginzburg-Landau equations.
  • Theoretical analysis and numerical simulations of oscillatory networks.

Main Results:

  • Explosive synchronization (ES) was demonstrated as an emergent feature in heterogeneous networks.
  • The study successfully lifted the necessity for specific parameter correlations previously required for ES.
  • ES was observed in networks with nodes possessing identical natural frequencies.

Conclusions:

  • Explosive synchronization can occur in oscillatory networks without strict parameter correlations.
  • Network evolution can lead to self-organization, fulfilling necessary correlation conditions for ES.
  • This research expands the potential applications and generality of explosive synchronization.