@inproceedings{711a0c8e29af4cda8b42a3c094700b51,
title = "Minimax and hamiltonian dynamics of excitatory-inhibitory networks",
abstract = "A Lyapunov function for excitatory-inhibitory networks is constructed. The construction assumes symmetric interactions within excitatory and inhibitory populations of neurons, and antisymmetric interactions between populations. The Lyapunov function yields sufficient conditions for the global asymptotic stability of fixed points. If these conditions are violated, limit cycles may be stable. The relations of the Lyapunov function to optimization theory and classical mechanics are revealed by minimax and dissipative Hamiltonian forms of the network dynamics.",
author = "Seung, {Hyunjune Sebastian} and Richardson, {T. J.} and Lagarias, {J. C.} and Hopfield, {J. J.}",
year = "1998",
language = "English (US)",
isbn = "0262100762",
series = "Advances in Neural Information Processing Systems",
publisher = "Neural information processing systems foundation",
pages = "329--335",
booktitle = "Advances in Neural Information Processing Systems 10 - Proceedings of the 1997 Conference, NIPS 1997",
note = "11th Annual Conference on Neural Information Processing Systems, NIPS 1997 ; Conference date: 01-12-1997 Through 06-12-1997",
}