Robust feed-back control of travelling waves in a class of reaction-diffusion distributed biological systems

DOI10.1016/j.physd.2008.02.019zbMath1146.92013OpenAlexW2084410713WikidataQ59343620 ScholiaQ59343620MaRDI QIDQ943628

Julio R. Banga, Carlos Vilas, Míriam R. García, Antonio A. Alonso

Publication date: 10 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.physd.2008.02.019

zbMATH Keywords

robust controlspiral wavesreduced order modelsFitzhugh-Nagumononlinear reaction-diffusion systemstravelling plane wave

Mathematics Subject Classification ID

Feedback control (93B52) Reaction-diffusion equations (35K57) Application models in control theory (93C95) Physiology (general) (92C30)

Related Items (10)

Super-critical and sub-critical bifurcations in a reaction-diffusion Schnakenberg model with linear cross-diffusion ⋮ Turing instability and pattern formation of a fractional Hopfield reaction–diffusion neural network with transmission delay ⋮ Sharp corners as sources of spiral pairs ⋮ Turing-Hopf bifurcation of reaction-diffusion neural networks with leakage delay ⋮ An Optimal Control Problem of Nonlocal Pyragas Feedback Controllers for Convective FitzHugh--Nagumo Equations with Time-Delay ⋮ Synchronized stability in a reaction-diffusion neural network model ⋮ Reduced order optimal control of the convective FitzHugh-Nagumo equations ⋮ Dynamical stability in a delayed neural network with reaction-diffusion and coupling ⋮ Spatiotemporal Dynamics in Reaction–Diffusion Neural Networks Near a Turing–Hopf Bifurcation Point ⋮ Design of external forces for eliminating traveling wave in a piecewise linear FitzHugh–Nagumo model

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear and robust control of PDE systems. Methods and applications to transport-reaction processes
• Feedback-mediated control of spiral waves
• Rotating wave solutions of the FitzHugh-Nagumo equations
• Topological considerations in the generation of scroll waves in excitable and cyclical media
• Pulse bifurcation and transition to spatiotemporal chaos in an excitable reaction-diffusion model
• Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds
• Mathematical biology. Vol. 1: An introduction.
• Simulation of biological waves in single-species bacillus system governed by birth and death-diffusion dynamical equation
• Influence of boundary conditions on the dynamics of oscillatory media
• On the bifurcation curve for an elliptic system of FitzHugh-Nagumo type
• Control of spatially heterogeneous and time-varying cellular reaction networks: a new summation law
• The topology of defibrillation
• Stabilization of inhomogeneous patterns in a diffusion-reaction system under structural and parametric uncertainties
• Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation
• Turbulence and the dynamics of coherent structures. I. Coherent structures
• Dissipative systems: from physics to robust nonlinear control
• The chemical basis of morphogenesis
• Stabilization of distributed systems using irreversible thermodynamics

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