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Dynamics of coupled D-dimensional Stuart-Landau oscillators
Pragjyotish Bhuyan Gogoi1, Awadhesh Prasad1, Aryan Patel2
1University of Delhi, Department of Physics and Astrophysics, Delhi 110007, India.
Physical Review. E
|December 23, 2025
Summary
Researchers explored higher-dimensional Stuart-Landau oscillators, revealing new synchronization and oscillation death phenomena. These emergent dynamics in D>2 dimensions differ from the 2D case, offering novel insights into complex systems.
Area of Science:
- Nonlinear Dynamics
- Complex Systems
- Mathematical Physics
Background:
- The Stuart-Landau oscillator is a fundamental model for studying oscillations.
- Generalizations to higher dimensions (D>2) introduce SO(D) rotational symmetry.
- Previous studies primarily focused on the D=2 case.
Purpose of the Study:
- Investigate collective dynamics of K Stuart-Landau oscillators in D=3 and D=4 dimensions.
- Analyze emergent phenomena when rotational symmetry is preserved or broken by coupling.
- Explore the impact of heterogeneity on oscillator behavior.
Main Methods:
- Studied systems of K Stuart-Landau oscillators in D=3 and D=4.
- Varied coupling to either preserve or break SO(D) rotational symmetry.
- Analyzed emergent phenomena including synchronization, multistability, and partial amplitude/oscillation death.
Main Results:
- Preserving rotational symmetry leads to synchronization, multistability, and partial amplitude death (subset of variables quench to same value).
- Broken rotational symmetry results in partial synchronization and partial oscillation death (subset of variables quench to different values).
- Observed phase locking and phase drift in oscillatory dynamics.
Conclusions:
- Higher-dimensional Stuart-Landau oscillators exhibit novel collective dynamics absent in 2D systems.
- Coupling strategy (symmetry preserving vs. breaking) dictates the type of emergent phenomena.
- The study expands understanding of synchronization and quenching in complex oscillatory systems.
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