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Propagation of Waves01:07

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When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
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Related Experiment Video

Updated: Oct 20, 2025

Setting Limits on Supersymmetry Using Simplified Models
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Moving spiral wave chimeras.

Martin Bataille-Gonzalez1, Marcel G Clerc1, Oleh E Omel'chenko2

  • 1Departamento de Física and Millenium Institute for Research in Optics, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile.

Physical Review. E
|September 16, 2021
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Summary
This summary is machine-generated.

We identified novel two-core spiral chimeras in coupled phase oscillators. These exhibit unique drifting and spatial patterns, unlike previous motionless spiral chimeras.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Network Science

Background:

  • Spiral chimeras are complex spatio-temporal patterns in coupled oscillator systems.
  • Existing spiral chimeras often feature motionless incoherent cores.
  • Heterogeneous nonlocally coupled phase oscillators on a flat torus are investigated.

Purpose of the Study:

  • To study bound states of two counter-rotating spiral chimeras, termed two-core spiral chimeras.
  • To analyze the dynamics and stability of these novel two-core spiral chimeras.
  • To classify different types of spiral chimeras based on their stability regions.

Main Methods:

  • Numerical analysis of a two-dimensional array of heterogeneous nonlocally coupled phase oscillators.
  • Utilizing the Ott-Antonsen equation in the continuum limit for theoretical analysis.
  • Investigating the stability regions of observed spiral chimera patterns.

Main Results:

  • Two-core spiral chimeras exhibit typical drift motion, unlike motionless spiral chimeras.
  • Drifting cores lead to spatial modulation and unique 'fingerprint' patterns of synchrony.
  • Three main classes of spiral chimeras were identified: symmetric, asymmetric, and meandering.

Conclusions:

  • The study reveals novel dynamics of two-core spiral chimeras in heterogeneous oscillator networks.
  • Drift motion and spatial modulation are key characteristics of these complex states.
  • Stability analysis provides a classification of spiral chimeras, advancing understanding of complex system behavior.