Control of pattern formation by time-delay feedback with global and local contributions

DOI10.1016/J.PHYSD.2010.05.001zbMath1245.92006OpenAlexW2073396216MaRDI QIDQ1957106

Carsten Beta, Michael Stich

Publication date: 24 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.physd.2010.05.001

zbMATH Keywords

reaction-diffusion systemschaos control

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Feedback control (93B52) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Ginzburg-Landau equations (35Q56)

Related Items (2)

Double Hopf bifurcation induces coexistence of periodic oscillations in a diffusive Ginzburg-Landau model ⋮ Finite-parameter feedback control for stabilizing the complex Ginzburg-Landau equation

Uses Software

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Cites Work

• Self-organized pacemakers in birhythmic media
• Controlling spatiotemporal chaos in oscillatory reaction-diffusion systems by time-delay auto\-synchronization
• Stabilization of complex spatio-temporal dynamics near a subcritical Hopf bifurcation by time-delayed feedback
• Amplitude equations for description of chemical reaction-diffusion systems
• Time delay effects on coupled limit cycle oscillators at Hopf bifurcation
• Controlling turbulence in the complex Ginzburg-Landau equation
• Controlling turbulence in the complex Ginzburg-Landau equation. II: Two-dimensional systems
• Amplitude death in an array of limit-cycle oscillators.
• Spatial and temporal feedback control of traveling wave solutions of the two-dimensional complex Ginzburg-Landau equation
• Birhythmicity, synchronization, and turbulence in an oscillatory system with nonlocal inertial coupling
• Controlling chaos
• Feedback control of travelling wave solutions of the complex Ginzburg–Landau equation
• Control of spatiotemporal chaos in catalytic CO oxidation by laser-induced pacemakers
• Pattern formation outside of equilibrium
• Handbook of Chaos Control
• Applied Delay Differential Equations
• ON THE COMPLEX GINZBURG–LANDAU EQUATION WITH A DELAYED FEEDBACK

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