Title :
CNN model for hyperbolic equations with hysteresis
Author_Institution :
Inst. of Math., Bulgarian Acad. of Sci., Sofia, Bulgaria
Abstract :
A semilinear hyperbolic equation with hysteresis operator is considered. A CNN model for an such equation is made. Dynamic behavior of the CNN model is studied using a describing function method. Traveling wave solutions are proved for the CNN model
Keywords :
cellular neural nets; describing functions; hyperbolic equations; hysteresis; CNN model; describing function method; dynamic behavior; hysteresis operator; semilinear hyperbolic equation; traveling wave solutions; Boundary conditions; Cellular neural networks; Cloning; Differential equations; Hysteresis; Mathematical model; Mathematics; Nonlinear equations; Partial differential equations;
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.2000.876855