Pivka, L. "Autowaves and spatio-temporal chaos in CNNs.
These systems are distributed parameter systems in which spatio-temporal chaos occurs.
Such states, are seen to emerge naturally in a plasma physics model with sporadic dissipation, through spatio-temporal chaos.
Gilli, M. "A spectral approach for studying spatio-temporal chaos," 1995 IEEE International Symposium on Circuits and Systems (Cat. No.95CH35771).
At intermediate and high applied voltages spatio-temporal chaos is observed, which exhibits an increasing number of high reactivity spikes with increasing voltage.
Perez-Munuzuri, V., Munuzuri, A.P., Gomez-Gesteira, M., Perez-Villar, V., Pivka, L., Chua, L.O. "Nonlinear waves, patterns and spatio-temporal chaos in cellular neural networks," Philosophical Transactions of the Royal Society of London a Mathematical & Physical Sciences, vol.353, no.1701, pp.101-113.
A treatment of QIF networks with gap-junction coupling has also recently been achieved by Laing [294], using the OA ansatz, showing how this can destroy certain spatio-temporal patterns, such as localised "bumps", and create others, such as travelling waves and spatio-temporal chaos.
Hence, there is no spatio-temporal chaos in that regime.
For example, the appearance of a Benjamin-Feir instability in the Sel'kov model indicates the occurrence of spatio-temporal chaos which is mostly absent in the MWC model.
In this bifurcation plane wave solutions become unstable against long wave length perturbations which may result in the occurrence of spatio-temporal chaos.
General theoretical considerations predict that, in the case of negative filament tension, the length of the filament grows and it may lead to the onset of a spatio-temporal chaos [ 16].
