Title :
Analysis of Turing patterns by stochastic reaction diffusion systems
Author :
Ishikawa, M. ; Miyajima, K. ; Tasaka, T.
Author_Institution :
Fac. of Eng., Yamaguchi Univ., Japan
Abstract :
This paper is concerned with the mathematical modeling of Turing pattern formations by stochastic reaction diffusion equations. First, by introducing the stochastic reaction diffusion equations, a mathematical model of pattern formation is proposed. Secondly, the existence theorem of the unique solution of the proposed equation is established. Finally, analysis of the process of pattern formation is performed through simulation experiments and the influence of the disturbance on pattern formation is studied as well.
Keywords :
nonlinear systems; pattern formation; reaction-diffusion systems; spatiotemporal phenomena; stochastic processes; Turing pattern formations; existence theorem; mathematical model; mathematical modeling; numerical simulations; simulation experiments; spatio-temporal patterns; stochastic nonlinear systems; stochastic reaction diffusion equations; Chemicals; Computer science; Equations; Mathematical model; Pattern analysis; Pattern formation; Performance analysis; Stochastic processes; Stochastic resonance; Stochastic systems;
Conference_Titel :
SICE 2002. Proceedings of the 41st SICE Annual Conference
Print_ISBN :
0-7803-7631-5
DOI :
10.1109/SICE.2002.1195562
