Dynamical Systems

How to get the PRC from timings (Notes)

The following method describes how can one obtain the phase reset curve (PRC) as a function of timings of pulses. IT turns out using the PRC of a system we could basically say a lot about the interactions between neurons without actually simulating the whole differential equations taking the maps route. I thought I will write this as a note for the future stupid me wondering why I chose this route.

The time period of normal spiking is T1 while that of the perturbed spiking is T2.

So this makes the phase difference to be the following.

T_1, T_2 are the timings. ts is the time of perturbation. T_1 is the free running period and T_2 is the perturbed period.

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