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07:46
Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Solvable model of spiral wave chimeras
Erik A Martens1, Carlo R Laing, Steven H Strogatz
1Max Planck Institute for Dynamics and Self-Organization, 37073 Göttingen, Germany.
Physical Review Letters
|April 7, 2010
Summary
Researchers describe a new type of spiral wave chimera in oscillating systems with nonlocal coupling. This novel spiral features a core of desynchronized oscillators, unlike traditional spirals with phase singularities.
Area of Science:
- Complex Systems
- Nonlinear Dynamics
- Theoretical Physics
Background:
- Spiral waves are common in 2D chemical and biological oscillator systems with local diffusive coupling.
- Traditional spiral waves exhibit phase singularities at their core, where oscillator amplitude is zero.
- Nonlocal coupling introduces novel dynamics not observed in locally coupled systems.
Purpose of the Study:
- To analytically describe a newly discovered spiral wave chimera.
- To investigate spiral waves in systems with nonlocal coupling.
- To calculate the rotation speed and core size of these novel spiral waves.
Main Methods:
- Development of the first analytical description for spiral wave chimeras.
- Application of perturbation theory to model spiral wave dynamics.
- Calculation of key parameters: rotation speed and incoherent core size.
Main Results:
- Identified and analytically described a new type of spiral wave chimera.
- Characterized the spiral wave chimera's circular core of desynchronized oscillators.
- Calculated the rotation speed and size of the incoherent core using perturbation theory.
Conclusions:
- Nonlocal coupling can lead to spiral wave chimeras with distinct core structures.
- The analytical framework provides a quantitative understanding of these novel spiral waves.
- This work advances the understanding of complex dynamics in oscillatory systems.
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