Can anyone suggest some techniques to analytically evaluate the activity stability in Spiking Neural Networks?

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Cengiz Gunay

You can see some techniques in these papers:

Diesmann M, Gewaltig M-O, Aertsen A (1999) Stable propagation of synchronous spiking in cortical neural networks. Nature 402:529–533

Cengiz Gunay and ̈Anthony S. Maida (2006) A stochastic population approach to the problem of stable recruitment hierarchies in spiking neural networks. Biol Cybern 94: 33–45. DOI 10.1007/s00422-005-0023-y