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Moreover, the transient behavior of the firing rates computed from the Fokker Planck equation is analyzed in this bistable situation, where a bifurcation scenario, of asynchronous convergence towards stationary states, periodic synchronous solutions or damped oscillatory convergence towards stationary states, can be uncovered by increasing the strength of the excitatory coupling.
The existence of synchronous solutions is also guaranteed if (sum_{j=1}^{N} w_{ij}) is independent of i.
This was further related to theoretical predictions by correspondence to the parameter-regions of instability of pair-wise synchronous solutions.
On the other hand, in areas of instability of synchronous solutions (for pair-wise or fully coupled networks) the network shows a richer pattern of activity, generally independent of the underlying structural connections.
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Two examples are given to show that the effectiveness of the proposed synchronous solution method for multi-player ZS games.
Then, in order to simplify the synchronous method and the data packet structure, we design a synchronous solution which adopts the console aided control method.
In this paper, a synchronous solution method for multi-player zero-sum games without system dynamics is established based on neural network.
Hence the synchronous solution will be stable provided (lambda= -epsilon H'(0)<0).
6.2.1 we would expect the synchronous solution to be stable if (epsilon H'(0) >0).
Note that the synchronous solution (beta=0) is unstable for small values of v.
To investigate the stability of the synchronous solution (s(t)), let e_{i}(t)=x_{i}(t -s(t -suad i=1,2,ldots,quad
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