Title :
Analysis and simulation of waves in reaction-diffusion systems
Author :
Genesio, Roberto ; Nitti, Massimo ; Torcini, Alessandro
Author_Institution :
Dipt. di Sistemi e Inf., Univ. di Firenza, Italy
Abstract :
Considers reaction-diffusion systems in excitable media for studying the dynamics of related travelling waves. In particular, the one-dimensional Fitzhugh-Nagumo model is considered to apply two classical approaches of feedback systems and derive results of structural kind. The comparison with simulations obtained by a new integration procedure indicates the possible usefulness of such methods in this specific context
Keywords :
describing functions; feedback; integration; limit cycles; reaction-diffusion systems; wave equations; excitable media; feedback systems; one-dimensional Fitzhugh-Nagumo model; reaction-diffusion systems; travelling waves; Analytical models; Biological system modeling; Brain modeling; Chemicals; Chemistry; Environmental factors; Laplace equations; Muscles; Pattern formation; Physics;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758637
