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Intermittent chaotic chimeras for coupled rotators.

Simona Olmi1,2, Erik A Martens3,4,5, Shashi Thutupalli6,7

  • 1Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, Via Madonna del Piano 10, I-50019 Sesto Fiorentino, Florence, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 15, 2015
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Summary
This summary is machine-generated.

Symmetrically coupled oscillators exhibit chaotic solutions with broken symmetry. Researchers observed intermittent chaotic chimeras, with synchronized and erratic populations, demonstrating finite lifetimes that diverge with system parameters.

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Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Complex Systems

Background:

  • Coupled oscillator systems are fundamental in various scientific fields.
  • Understanding emergent behaviors like synchronization and chaos is crucial.
  • Experimental observations of mechanical pendulums show broken symmetry.

Purpose of the Study:

  • To investigate chaotic solutions in symmetrically coupled oscillator populations.
  • To identify and characterize intermittent chaotic chimeras.
  • To analyze the dependence of these states' lifetimes on system parameters.

Main Methods:

  • Simulating two symmetrically coupled populations of N oscillators with inertia m.
  • Employing Lyapunov analyses to quantify chaotic properties.
  • Observing intermittent transitions between synchronized and erratic phases.

Main Results:

  • Chaotic solutions with broken symmetry were observed, mirroring experimental findings.
  • Intermittent chaotic chimeras were identified, featuring synchronized and turbulent phases.
  • The finite lifetimes of these chimeras diverge as a power law with N and m.

Conclusions:

  • The study provides evidence for intermittent chaotic chimeras in coupled oscillator systems.
  • Results align with theoretical predictions for globally coupled dissipative systems.
  • The findings contribute to understanding complex dynamics in physical systems.