Feedback-mediated control of spiral waves

DOI10.1016/j.physd.2004.10.001zbMath1067.92003OpenAlexW1981487248MaRDI QIDQ705655

V. S. Zykov, Harald Engel

Publication date: 31 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.physd.2004.10.001

zbMATH Keywords

Feedback controlExcitable mediumSpiral waveDrift velocity field

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) General biology and biomathematics (92B05)

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Application of discontinuous Galerkin methods for reaction-diffusion systems in developmental biology ⋮ On stability of two degenerate reaction-diffusion systems ⋮ Stabilization of inhomogeneous patterns in a diffusion-reaction system under structural and parametric uncertainties ⋮ The morphostatic limit for a model of skeletal pattern formation in the vertebrate limb ⋮ A theory for spiral wave drift in reaction-diffusion-mechanics systems ⋮ Robust feed-back control of travelling waves in a class of reaction-diffusion distributed biological systems ⋮ Hysteresis phenomenon in the dynamics of spiral waves rotating around a hole ⋮ Optimal control of a class of reaction-diffusion systems ⋮ Control of spiral drift by using feedback signals from a circular measuring domain in oscillatory media ⋮ Spiral dynamics under feedback derived from a square-shaped domain in the complex Ginzburg–Landau equation ⋮ Second Order and Stability Analysis for Optimal Sparse Control of the FitzHugh--Nagumo Equation ⋮ Pulsating and Rotating Spirals in a Delayed Feedback Diffractive Nonlinear Optical System

Cites Work

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• Periodic to quasiperiodic transition of chemical spiral rotation
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• Bifurcations and dynamics of spiral waves
• Translational symmetry-breaking for spiral waves
• The world of the complex Ginzburg-Landau equation
• A SURVEY OF SPIRAL-WAVE BEHAVIORS IN THE OREGONATOR MODEL
• Spiral Waves in Reaction-Diffusion Equations

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