1974/07/01 by G. Nìcolis, J. F. G. Auchmuty · 1 citation
Engineering · Computer Science · Physics and Astronomy · Mathematics · #Slime Mold and Myxomycetes Research #Nonlinear Dynamics and Pattern Formation #Origins and Evolution of Life #Dissipative system #Bifurcation #Bifurcation theory #Reaction–diffusion system #Statistical physics #Diffusion #Stability (learning theory) #Pattern formation #Classical mechanics #Physics #Mathematics #Thermodynamics #Computer science #Nonlinear system #Biology
paper · doi:10.1073/pnas.71.7.2748
openalex publication_date 1974/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/16
A model chemical network involving reactions and diffusion is studied. Spatially and temporally ordered solutions of the equations are found by bifurcation theory. These solutions are calculated analytically and their stability is studied. Properties of these dissipative structures are discussed, and a comparison with Thom's theories of morphogenesis is outlined.