The Lengyel–Epstein Reaction Diffusion System

DOI10.1007/978-3-319-99918-0_10zbMath1423.35366OpenAlexW2953418210MaRDI QIDQ5239062

Salem Abdelmalek, Samir Bendoukha

Publication date: 21 October 2019

Published in: Applied Mathematical Analysis: Theory, Methods, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-99918-0_10

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (1)

On the complete synchronization of a time-fractional reaction–diffusion system with the Newton–Leipnik nonlinearity

Cites Work

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• On the global dynamics of the Lengyel-Epstein system
• Turing instability and pattern formation for the Lengyel-Epstein system with nonlinear diffusion
• Time optimal controls of the Lengyel-Epstein model with internal control
• On the global asymptotic stability of solutions to a generalised Lengyel-Epstein system
• Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
• Pulse dynamics in a three-component system: Existence analysis
• Global asymptotical behavior of the Lengyel-Epstein reaction-diffusion system
• Stability and periodic solutions of ordinary and functional differential equations
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Elements of applied bifurcation theory.
• Standing pulse solutions for the FitzHugh-Nagumo equations
• On the dynamics of the Lengyel-Epstein model with forcing intensity
• Global bifurcation and structure of Turing patterns in the 1-D Lengyel-Epstein model
• Pattern formation and Turing instability in an activator-inhibitor system with power-law coupling
• Extended global asymptotic stability conditions for a generalized reaction-diffusion system
• Hopf bifurcation and Turing instability of 2-D Lengyel-Epstein system with reaction-diffusion terms
• Bifurcation from simple eigenvalues
• A Textbook on Ordinary Differential Equations
• On the stability and nonexistence of turing patterns for the generalized Lengyel-Epstein model
• Convergence to Homogeneous Equilibrium State for Generalized Volterra–Lotka Systems with Diffusion
• A chemical approach to designing Turing patterns in reaction-diffusion systems.
• Stability Properties of Solutions to Systems of Reaction-Diffusion Equations
• Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
• Stability and Bifurcation Analysis in the Photosensitive CDIMA System with Delayed Feedback Control
• Turing Patterns in the Lengyel–Epstein System with Superdiffusion
• The chemical basis of morphogenesis
• Optimal control problem for Lengyel–Epstein model with obstacles and state constraints
• Turing patterns in the Lengyel-Epstein system for the CIMA reaction

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