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High-Mode Coupling Yields Multicoherent-Phase Phenomena in Nonlocally Coupled Oscillators.

Zongkai Cai1, Zonghua Liu1, Shuguang Guan1

  • 1School of Physics and Electronic Science, <a href="https://ror.org/02n96ep67">East China Normal University</a>, Shanghai 200062, China.

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Summary
This summary is machine-generated.

Researchers discovered multicoherent-phase (MUP) chimera states in coupled oscillators. These states feature subgroups with distinct phase differences, revealing novel complex dynamics in nonlinear systems.

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Area of Science:

  • Nonlinear dynamics
  • Complex systems
  • Coupled oscillator systems

Background:

  • Partially coherent patterns in coupled oscillators are key in nonlinear sciences.
  • Understanding these dynamics is crucial for advancing the field.

Purpose of the Study:

  • To discover and theoretically describe novel clustered coherent states in phase models.
  • To investigate the formation and stability of these multicoherent-phase (MUP) chimera states.

Main Methods:

  • Utilized self-consistency analysis to derive solutions.
  • Employed Ott-Antonsen dimension reduction techniques for theoretical derivation.
  • Conducted spectral analysis to demonstrate solution stability.

Main Results:

  • Discovered a novel multicoherent-phase (MUP) chimera state.
  • Identified subgroups within coherent regions with specific phase differences (2π/q).
  • Demonstrated universality through generalized twisted states and spatial swarm chimera states in swarmalators.

Conclusions:

  • MUP chimera states represent a new class of coherent dynamics in coupled systems.
  • The findings extend beyond phase models to systems with spatial dynamics (swarmalators).
  • This work opens new avenues for exploring complex emergent behaviors in nonlinear sciences.