Formation and deformation of patterns through diffusion

DOI10.1007/BF00180135zbMath0835.92007MaRDI QIDQ1907237

Joseph G. G. Yan

Publication date: 5 March 1996

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

pattern formationhomogeneous Dirichlet boundary conditionsno-flux boundary conditionsdeformation of stationary patterns

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Developmental biology, pattern formation (92C15)

Cites Work

• Unnamed Item
• Cell traction models for generating pattern and form in morphogenesis
• Reversible systems
• Spatially periodic steady-state solutions of a reversible system at strong and subharmonic resonances
• Models for cell differentiation and generation of polarity in diffusion- governed morphogenetic fields
• Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions
• On modelling pattern formation by activator-inhibitor systems
• Bifurcation at \(1:1\) resonance in a reversible system using the 3-jet of the normal form
• Existence of stable spatially periodic steady states in coupled reaction- diffusion equations
• Stability of Steady States for Prey–Predator Diffusion Equations with Homogeneous Dirichlet Conditions
• Stable small-amplitude solutions in reaction-diffusion systems
• Plane Wave Solutions to Reaction-Diffusion Equations
• Slowly Modulated Oscillations in Nonlinear Diffusion Processes
• Asymptotic states for equations of reaction and diffusion
• The chemical basis of morphogenesis

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