HMH wrote the paper with strong input from RDR.
As a conclusion, we can safely assume that our approximation works well in a regime for strong input drives Ω / γ > 5 and low nonlinearities U / γ < 0.2 for arbitrary values of the tunneling rate.
By contrast, in IF RES networks and for small values of the input, the inhibitory population exhibited a higher population rate peak per oscillation cycle than the excitatory population, while for strong input this relation reversed.
As a result, the tendency of the network was to decrease and not to increase oscillation frequency for strong input because resonators slowed down as their membrane potentials were hyperpolarized in between oscillation cycles.
For strong input, excitatory neurons tend to fire earlier than inhibitory resonators (Fig. 4 E), which will lag behind and give the excitatory population a larger window of opportunity yielding larger excitatory population rates (Fig. 4 A, right).
The technique is applied to obtain an (almost) globally stabilizing scheme for the vertical takeoff and landing aircraft with strong input coupling, and a controller for the chariot with the pendulum that can swing-up the pendulum from any position in the upper half plane and stop the chariot at any desired location.
However, for a strong input drive, low tunneling rates and intermediate to high values of the nonlinearity the Bogoliubov expansion breaks down.
On the other hand, for sufficiently strong input amplitude I0, the network supports a radially symmetric bump centred about the input.
We find that external input exerts profound and sometimes counterintuitive changes in the correlation among neurons: for example, a strong input can make the neurons almost independent.
In a statement Monday, he described the move as a "positive step" for Motorola, largely, he said, because it gives shareholders "strong input into board decisions affecting the future of the company".
