Hamiltonian and gradient properties of certain type of dynamical systems
Disordered Systems and Neural Networks
2007-05-23 v1
Abstract
From the sandpoint of neural network dynamics we consider dynamical system of special type pesesses gradient (symmetric) and Hamiltonian (antisymmetric) flows. The conditions when Hamiltonian flow properties are dominant in the system are considered. A simple Hamiltonian has been studied for establishing oscillatory patern conditions in system under consideration.
Cite
@article{arxiv.cond-mat/0302404,
title = {Hamiltonian and gradient properties of certain type of dynamical systems},
author = {A. K. Prykarpatsky and V. V. Gafiychuk},
journal= {arXiv preprint arXiv:cond-mat/0302404},
year = {2007}
}