TY - JOUR
T1 - Two neuron CNNS
T2 - Search for limit cycles
AU - Vilasís-Cardona, Xavier
AU - Vinyoles-Serra, Mireia
N1 - Funding Information:
We wish to thank professor Eduardo Gómez Ram-rez for his valuable comments on the manuscript. This work is partially supported by FUNITEC.
PY - 2010/4
Y1 - 2010/4
N2 - In this paper, we show sufficient conditions for the existence of limit cycles in the general continuous time two-neuron autonomous CNN. We find that different types of limit cycles correspond to different regions in the template parameter space. Actually, we are able to predict the CNN behavior from the template values for the full parameter range, except for two small bounded regions.
AB - In this paper, we show sufficient conditions for the existence of limit cycles in the general continuous time two-neuron autonomous CNN. We find that different types of limit cycles correspond to different regions in the template parameter space. Actually, we are able to predict the CNN behavior from the template values for the full parameter range, except for two small bounded regions.
KW - Piecewise linear equations
KW - cellular neural networks
KW - limit cycle
UR - http://www.scopus.com/inward/record.url?scp=77954192358&partnerID=8YFLogxK
U2 - 10.1142/S0218127410026368
DO - 10.1142/S0218127410026368
M3 - Article
AN - SCOPUS:77954192358
SN - 0218-1274
VL - 20
SP - 1137
EP - 1173
JO - International Journal of Bifurcation and Chaos
JF - International Journal of Bifurcation and Chaos
IS - 4
ER -