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Exact(19)
When the phase point is on the strong canard, δ = 0. Let δ > 0 when the phase point is in the singular funnel and δ < 0 when the phase point is outside the singular funnel.
Note that when the phase point does not approach the saddle, the model generates bursts with same number of spikes.
Assuming that the phase point x(n) is in the i th element of the partition at time n.
The number of complete revolutions of the phase point around the spiking manifold, M lc, gives the number of spikes within a burst, see Figures 2 and 6.
If the phase point reaches the edge before the saddle, it falls down to the hyperpolarized branch of M eq to start a new cycle of bursting.
In the bursting regime, the phase point of the HR model switches repeatedly between the spiking, M lc, and quiescent, M eq, manifolds when it reaches their ends.
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According to the PSR principle, we can obtain the phase points y5, y6,…, containing the HF-MDCT coefficients, x 7), x 8),….
By comparing f d (k) with fD, the false nearest neighbors for all the phase points are verified.
Thus, once the phase space of LF-MDCT coefficients is reconstructed, the relationship between the phase points and MDCT coefficients can be described by a non-linear model.
The FPGA computes the RF phase point of the two rings and offers more accurate control of the time delay.
Firstly, for the sake of triple square-root terms in the range history, the Taylor series is applied to obtain the stationary phase point when deriving the BPTRS.
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