Global attractor of complex networks of reaction-diffusion systems of Fitzhugh-Nagumo type

DOI10.3934/DCDSB.2018077zbMath1404.35060OpenAlexW2791656907MaRDI QIDQ1756850

V. L. E. Phan, B. Ambrosio, Moulay Aziz-Alaoui

Publication date: 27 December 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018077

zbMATH Keywords

complex systems\(L^{\infty}\)-bound

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (12)

Non-Archimedean Models of Morphogenesis ⋮ Turing patterns in a \(p\)-adic FitzHugh-Nagumo system on the unit ball ⋮ Reaction-diffusion equations on complex networks and Turing patterns, via \(p\)-adic analysis ⋮ Synchronization of Turing patterns in complex networks of reaction–diffusion systems set in distinct domains ⋮ 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 ⋮ Numerical simulation of reaction-diffusion neural dynamics models and their synchronization/desynchronization: application to epileptic seizures ⋮ Non-existence of the global attractor for a partly dissipative reaction-diffusion system with hysteresis ⋮ An analytical scheme on complete integrability of 2D biophysical excitable systems ⋮ Propagation of bursting oscillations in coupled non-homogeneous Hodgkin-Huxley reaction-diffusion systems ⋮ Global attractor for a partly dissipative reaction-diffusion system with discontinuous nonlinearity ⋮ Synchronization of FitzHugh-Nagumo reaction-diffusion systems via one-dimensional linear control law

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