Pattern formation in neural dynamical systems governed by mutually Hamiltonian and gradient vector field structures

• Veröffentlicht in: Condensed Matter Physics
• Datum: 2004
• Hauptverfasser: Gafiychuk, V.V., Prykarpatsky, A.K.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут фізики конденсованих систем НАН України 2004
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/119026
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Pattern formation in neural dynamical systems governed by mutually Hamiltonian and gradient vector field structures / V.V. Gafiychuk, A.K. Prykarpatsky // Condensed Matter Physics. — 2004. — Т. 7, № 3(39). — С. 551–563. — Бібліогр.: 20 назв. — англ.

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 typ...