Patterns and Dynamics in Reactive Media

ISBN-13: 9781461278320 / Angielski / Miękka / 2011 / 206 str.

Rutherford Aris; Donald G. Aronson; Harry L. Swinney

Opis

Ever since the seminal works on traveling waves and morphogenesis by Fisher, by Kolmogorov, Petrovski and Piscunov, and by Turing, scientists from many disciplines have been fascinated by questions concerning the formation of steady or dynamic patterns in reactive media. Contributions to this volume have been made by chemists, chemical engineers, mathematicians (both pure and applied), and physicists. The topics covered range from reports of experimental studies, through descriptions of numerical experiments, to rather abstract theoretical investigations, each exhibiting different aspects of a very diverse field.

Spis treści

Simple resonance regions of torus diffeomorphisms.- A minimal model for spatio-temporal patterns in thin film flow.- Localized and extended patterns in reactive media.- Some recent results in chemical reaction network theory.- Genericity, bifurcation and symmetry.- Dynamics of some electrochemical reactions.- Construction of the Fitzhugh-Ngumo pulse using differential forms.- Kinetic polynomial: A new concept of chemical kinetics.- Convergence of travelling waves for phase field equations to sharp interface models in the singular limit.- Standing and propagating temperature waves on electrically heated catalytic surfaces.- Mixed-mode oscillations in the nonisothermal autocatalator.- Bifurcations and global stability in surface catalyzed reactions using the Monte Carlo method.