TY - GEN
T1 - Response of the two neuron cellular neural network to time dependent inputs
AU - Vinyoles-Serra, Mireia
AU - Vilasís-Cardona, Xavier
PY - 2011
Y1 - 2011
N2 - The two neuron CNN system with piecewise linear activation function and time dependent external inputs is analyzed and the parametric solutions for the trajectories are given. We look then at the particular case in which the CNN has an antisymmetric template and sine external input. For particular parameter values, this example has been found in the literature to have chaotic behavior. We use the trajectories solution to study the sensitivity of the system to initial conditions and the possibility of self-intersecting trajectories. Both results characterize a chance for a chaotic behavior.
AB - The two neuron CNN system with piecewise linear activation function and time dependent external inputs is analyzed and the parametric solutions for the trajectories are given. We look then at the particular case in which the CNN has an antisymmetric template and sine external input. For particular parameter values, this example has been found in the literature to have chaotic behavior. We use the trajectories solution to study the sensitivity of the system to initial conditions and the possibility of self-intersecting trajectories. Both results characterize a chance for a chaotic behavior.
UR - http://www.scopus.com/inward/record.url?scp=80155125020&partnerID=8YFLogxK
U2 - 10.1109/ECCTD.2011.6043322
DO - 10.1109/ECCTD.2011.6043322
M3 - Conference contribution
AN - SCOPUS:80155125020
SN - 9781457706189
T3 - 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011
SP - 222
EP - 225
BT - 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011
T2 - 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011
Y2 - 29 August 2011 through 31 August 2011
ER -