Synchronization and control of coupled reaction-diffusion systems of the FitzHugh-Nagumo type
From MaRDI portal
Publication:745769
DOI10.1016/J.CAMWA.2012.01.056zbMath1356.93039OpenAlexW2085757381MaRDI QIDQ745769
B. Ambrosio, Moulay Aziz-Alaoui
Publication date: 14 October 2015
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2012.01.056
networkssynchronizationreactionslowFitzHugh-Nagumodiffusion systemsfast systemsqualitative asymptotic behaviour
Control/observation systems governed by partial differential equations (93C20) Reaction-diffusion equations (35K57)
Related Items (24)
Design of adaptive output feedback synchronizing controllers for networked PDEs with boundary and in-domain structured perturbations and disturbances ⋮ Robust synchronization of Fitzhugh-Nagumo network with parameter disturbances by sliding mode control ⋮ The use of element free Galerkin method based on moving Kriging and radial point interpolation techniques for solving some types of Turing models ⋮ Spatiotemporal instabilities and pattern formation in systems of diffusively coupled Izhikevich neurons ⋮ Synchronization of coupled reaction-diffusion neural networks with hybrid coupling via aperiodically intermittent pinning control ⋮ A HYBRID APPROACH FOR SYNCHRONIZING BETWEEN TWO REACTION–DIFFUSION SYSTEMS OF INTEGER- AND FRACTIONAL-ORDER APPLIED ON CERTAIN CHEMICAL MODELS ⋮ Pattern dynamics analysis of a time-space discrete FitzHugh-Nagumo (FHN) model based on coupled map lattices ⋮ Uniform ultimate boundedness and approximate synchronization of coupled reaction-diffusion systems with parameter mismatches ⋮ Dynamical behavior of reaction-diffusion neural networks and their synchronization arising in modeling epileptic seizure: a numerical simulation study ⋮ Global attractor of complex networks of reaction-diffusion systems of Fitzhugh-Nagumo type ⋮ Numerical simulation of reaction-diffusion neural dynamics models and their synchronization/desynchronization: application to epileptic seizures ⋮ Self-synchronization of coupled chaotic FitzHugh-Nagumo systems with unreliable communication links ⋮ Synchronization of coupled different chaotic Fitzhugh-Nagumo neurons with unknown parameters under communication-direction-dependent coupling ⋮ Optimisation and adaptation of synchronisation controllers for networked second-order infinite-dimensional systems ⋮ Synchronization control for reaction-diffusion Fitzhugh-Nagumo systems with spatial sampled-data ⋮ Synchronization and Pattern Formation in a Memristive Diffusive Neuron Model ⋮ Patterns of interaction of coupled reaction-diffusion systems of the Fitzhugh-Nagumo type ⋮ An analytical scheme on complete integrability of 2D biophysical excitable systems ⋮ Propagation of bursting oscillations in coupled non-homogeneous Hodgkin-Huxley reaction-diffusion systems ⋮ On a terminal value problem for parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms ⋮ Synchronization control in reaction-diffusion systems: application to Lengyel-Epstein system ⋮ Synchronization of FitzHugh-Nagumo reaction-diffusion systems via one-dimensional linear control law ⋮ Synchronization results for a class of fractional-order spatiotemporal partial differential systems based on fractional Lyapunov approach ⋮ Emergence of Turing patterns and dynamic visualization in excitable neuron model
Cites Work
This page was built for publication: Synchronization and control of coupled reaction-diffusion systems of the FitzHugh-Nagumo type
