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Updated: Jun 19, 2026
06:42
Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Spiral instabilities in media supporting complex oscillations under periodic forcing.
Qingyu Gao1, Jun Li, Kailong Zhang
1College of Chemical Engineering, China University of Mining and Technology, Xuzhou, China.
Chaos (Woodbury, N.Y.)
|October 2, 2009
Summary
The Brusselator model exhibits complex spiral behaviors like breakup and regeneration. Increased forcing amplitude leads to petal formation and spiral turbulence in reaction-diffusion systems.
Area of Science:
- Chemical kinetics
- Nonlinear dynamics
- Pattern formation
Background:
- The Brusselator model is a paradigm for studying chemical oscillations and pattern formation.
- Reaction-diffusion systems are crucial for understanding complex spatiotemporal dynamics.
Purpose of the Study:
- To investigate spiral instabilities and complex phenomena in a periodically forced Brusselator reaction-diffusion system.
- To analyze the evolution of spiral dynamics with varying forcing amplitudes.
Main Methods:
- Numerical simulations of the periodically forced Brusselator model.
- Analysis of spiral breakup, regeneration, and amplitude modulation.
- Characterization of spiral-tip meander and petal formation.
Main Results:
- Observed phenomena include near-core and far-field spiral breakup, backfiring, and regeneration.
- Amplitude modulation from line defects leads to chambered spirals, mimicking natural patterns.
- Increasing forcing amplitude transforms dynamics from simple oscillations to mixed-mode, period-2, and quasiperiodic oscillations, forming spiral petals.
Conclusions:
- The periodically forced Brusselator model generates diverse and complex spiral behaviors.
- Spiral dynamics are sensitive to forcing amplitude, leading to phenomena like petal formation and turbulence.
- This study provides insights into pattern formation and instabilities in reaction-diffusion systems.
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