Hamiltonian and gradient properties of certain type of dynamical systems

Details Hamiltonian and gradient properties of certain type of dynamical systems Hamiltonian and gradient properties of certain type of dynamical systems

2003-02-20

arxiv.org/abs/cond-mat/0302404v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

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.

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