Title :
Phase influence on mode competition in Turing pattern formation
Author :
Goras, Liviu ; Teodorescu, T. ; Maiorescu, Andrei
Abstract :
Within linear theory, Turing patterns in CNNs can be viewed as the consequence of a competition between unstable spatial modes. The aim of the paper is to show that the final pattern might depend on the relative position (phase) of the competing modes-a result that cannot be explained using the mode decoupling linear theory
Keywords :
cellular neural nets; dynamics; Turing pattern formation; competing modes; linear theory; mode competition; phase influence; unstable spatial modes; Boundary conditions; Cellular neural networks; Eigenvalues and eigenfunctions; Jacobian matrices; Laplace equations; Nonlinear equations; Pattern formation; Resistors; Shape;
Conference_Titel :
Cellular Neural Networks and Their Applications, 2000. (CNNA 2000). Proceedings of the 2000 6th IEEE International Workshop on
Conference_Location :
Catania
Print_ISBN :
0-7803-6344-2
DOI :
10.1109/CNNA.2000.876815
