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Explosive death in complex network.

Umesh Kumar Verma1, Amit Sharma1, Neeraj Kumar Kamal2

  • 1Department of Physics, Central University of Rajasthan, Ajmer 305 817, India.

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

Researchers observed an explosive death transition in coupled oscillators. This universal, first-order-like phase transition is abrupt and irreversible, regardless of oscillator type.

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Area of Science:

  • Physics
  • Complex Systems
  • Nonlinear Dynamics

Background:

  • Coupled oscillator networks are fundamental to understanding emergent phenomena.
  • Nonlocal coupling and environmental interactions introduce complex dynamics.
  • Phase transitions in physical systems often exhibit abrupt changes.

Purpose of the Study:

  • To investigate the emergence of an explosive death transition in a network of identical oscillators.
  • To characterize the nature of this transition and its universality.
  • To analyze the influence of environmental and nonlocal coupling parameters.

Main Methods:

  • Simulations of identical oscillators with nonlocal coupling in a common environment.
  • Analysis of system behavior across parameter space to identify transition characteristics.
  • Comparison of transitions in ensembles of chaotic and periodic oscillators.

Main Results:

  • An explosive death transition was observed, characterized by abrupt and irreversible changes.
  • This transition exhibits features of a first-order phase transition.
  • The transition was found to be universal, occurring similarly in both chaotic and periodic oscillator ensembles.

Conclusions:

  • A universal, first-order-like explosive death transition exists in coupled oscillator networks.
  • Environmental and nonlocal coupling significantly influence the transition dynamics.
  • The findings contribute to the understanding of phase transitions in complex systems.