Oscillatory pattern formation in a neural dynamical system governed by a mutual Hamiltonian and gradient vector field structure

Oscillatory pattern formation in a neural dynamical system governed by a mutual Hamiltonian and gradient vector field structure

We analyze dynamical systems of general form possessing gradient (symmetric) and Hamiltonian (antisymmetric) flow parts. The relevance of such systems to self-organizing processes is discussed. Coherent structure formation and related gradient flows on matrix Grassmann type manifolds are considered....

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Bibliographic Details
Main Authors: V.V.Gafiychuk, A.K.Prykarpatsky
Format: Article
Language:English
Published: Institute for Condensed Matter Physics 2004-01-01
Series:Condensed Matter Physics
Subjects:
dynamical system
gradient flow
Hamiltonian flow
self-organization
neural network
Online Access:http://dx.doi.org/10.5488/CMP.7.3.551

Internet

http://dx.doi.org/10.5488/CMP.7.3.551

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