Chiral pattern selection induced by a fokker-planck diffusion law

DOI10.1080/02681119208806138zbMath0774.92031OpenAlexW2001414218MaRDI QIDQ3137810

Yannis Almirantis, Gregoire Nicolis

Publication date: 13 October 1993

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119208806138

zbMATH Keywords

periodic boundary conditionsrotating wavesone-dimensional systemFokker- Planck equationchemical specieschiral symmetry-breaking instabilitymacroscopic three-dimensional patterns of opposite chiralitythree-dimensional reaction-diffusion systemweak drift term

Mathematics Subject Classification ID

Chemistry (92E99) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) General biology and biomathematics (92B05) Other natural sciences (mathematical treatment) (92F05)

Cites Work

• Morphogenesis in an asymmetric medium
• Stability of rotating chemical waves
• Topics in stability and bifurcation theory
• NUMERICAL STUDY OF TRAVELLING WAVES IN A REACTION-DIFFUSION SYSTEM: RESPONSE TO A SPATIOTEMPORAL FORCING
• CHIRAL SELECTION OF ROTATING WAVES IN A REACTION-DIFFUSION SYSTEM: THE EFFECT OF A CIRCULARLY POLARIZED ELECTROMAGNETIC FIELD