Controlling turbulence in the complex Ginzburg-Landau equation. II: Two-dimensional systems

DOI10.1016/S0167-2789(97)00046-8zbMath0963.76547OpenAlexW1968572347MaRDI QIDQ1963303

D. Battogtokh, Alexander V. Mikhailov, Albrecht Preusser

Publication date: 24 January 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00046-8

zbMATH Keywords

spiral wavesfeedback intensitycomplex Ginzburg-Landau equationdelay timedelayed global feedbacklocalized turbulent bubblesoscillatory distributed systemsstationary cellular structures

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamical systems approach to turbulence (76F20) Control of turbulent flows (76F70)

Related Items (9)

Double Hopf bifurcation induces coexistence of periodic oscillations in a diffusive Ginzburg-Landau model ⋮ A Note on the Well-Posedness of Control Complex Ginzburg-Landau Equations in Zhidkov Spaces ⋮ Control of pattern formation by time-delay feedback with global and local contributions ⋮ Controlling turbulence in the complex Ginzburg-Landau equation. II: Two-dimensional systems ⋮ Spatiotemporal patterns in a model of heterogeneous reaction in a porous catalyst particle ⋮ Controlling spatiotemporal chaos in oscillatory reaction-diffusion systems by time-delay auto\-synchronization ⋮ Dynamics of solitary waves generated by subcritical instability under the action of delayed feedback control ⋮ Unnamed Item ⋮ Birhythmicity, synchronization, and turbulence in an oscillatory system with nonlocal inertial coupling

Cites Work

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• Controlling turbulence in the complex Ginzburg-Landau equation. II: Two-dimensional systems
• The diversity of steady state solutions of the complex Ginzburg-Landau equation
• Spiral Waves in Reaction-Diffusion Equations
• Spatiotemporal intermittency regimes of the one-dimensional complex Ginzburg-Landau equation
• From dark solitons in the defocusing nonlinear Schrödinger to holes in the complex Ginzburg-Landau equation

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