Title :
Homoclinic and heteroclinic orbits of the three-cell cellular neural networks
Author :
Zou, Fan ; Katerle, Axel ; Nossek, Josef A.
Author_Institution :
Inst. for Network Theory and Circuit Des., Tech. Univ. Munich, Germany
fDate :
11/1/1993 12:00:00 AM
Abstract :
A strange attractor has been found in a three-cell autonomous cellular neural network by simulation and experiment. It is shown in this paper that the theory of Shil´nikov can be applied for understanding the chaotic behaviors of this system
Keywords :
chaos; eigenvalues and eigenfunctions; neural nets; nonlinear differential equations; nonlinear network analysis; piecewise-linear techniques; simulation; state-space methods; Shilnikov theory; chaotic behaviors; heteroclinic orbits; homoclinic orbits; simulation; strange attractor; three-cell cellular neural networks; Bifurcation; Cellular neural networks; Chaos; Circuits; Differential equations; Eigenvalues and eigenfunctions; Neural networks; Orbits; Signal processing; State-space methods;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
