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Abstract
This paper discusses control of chaos from an artificial neural cell. The cell is piecewise linear and includes bipolar hysteresis. A periodic stimulation switches the action potential represented by oscillation frequency and causes chaotic response. Using a mapping procedure, we can prove chaos generation and calculate the initial point of unstable periodic orbits (UPO) embedded in chaos. Then we can stabilize the desired UPO by using a modified occasional proportional feedback (OPF) which is applied only if the state is in a linear region and must stabilize the desired UPO in a theoretical sense. This OPF function is verified by laboratory experiments.
Notes
†A shorter form of this paper was presented at the 1994 Workshop on the Nonlinear Dynamics of Electronic Systems (NDES'94) held at the University of Mining and Metallurgy, Krakow, Poland, on 29-30 July.
