A reaction-diffusion model for the production of autowaves

Author

Hernández, José Antonio Medina ; Neda, Felipe Gómez Casta ; Cadenas, José Antonio Moreno

Author_Institution

Dept. of Electr. Eng., Inst. Politec. Nac., Mexico City

fYear

2008

fDate

12-14 Nov. 2008

Firstpage

80

Lastpage

85

Abstract

There are many examples of natural processes in which a substance must travel a trajectory, avoiding obstacles to reach an objective, using a mechanism for orientation and navigation. Such mechanism can be implemented using attraction by autowaves. The linear theory [1],[3],[6] lets to predict the conditions in which a reaction-diffusion system [1]-[12] has a raising oscillating behavior in the initial phase. In this paper a model is described for the production of autowaves [2],[4],[7]-[10], in agreement with the linear theory. Some results of simulation obtained with the model are shown.

Keywords

discrete Fourier transforms; reaction-diffusion systems; autowaves; discrete Fourier transform; linear theory; reaction-diffusion model; Automatic control; Biochemistry; Birds; Cellular neural networks; Discrete Fourier transforms; Marine animals; Mathematics; Navigation; Physics; Production; Autowaves; Discrete Fourier Transform; Reaction-Diffusion Cellular Neural Network;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Engineering, Computing Science and Automatic Control, 2008. CCE 2008. 5th International Conference on

Conference_Location

Mexico City

Print_ISBN

978-1-4244-2498-6

Electronic_ISBN

978-1-4244-2499-3

Type

conf

DOI

10.1109/ICEEE.2008.4723413

Filename

4723413