Approximate symmetries and conservation laws for It(o)over-cap and Stratonovich dynamical systems

Ibragimov, NH; Unal, G; Jogreus, C

doi:10.1016/j.jmaa.2004.05.003

Approximate symmetries and conservation laws for It(o)over-cap and Stratonovich dynamical systems

Atıf İçin Kopyala

Ibragimov N., Unal G., Jogreus C.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.297, sa.1, ss.152-168, 2004 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 297 Sayı: 1
Basım Tarihi: 2004
Doi Numarası: 10.1016/j.jmaa.2004.05.003
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.152-168
İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

A new definition for the approximate symmetries of It (o) over cap dynamical system is given. Determining systems of approximate symmetries for It (o) over cap and Stratonovich dynamical systems have been obtained. It has been shown that approximate conservation laws can be found from the approximate symmetries of stochastic dynamical systems which do not arise from a Hamiltonian. The results have been applied to an example. (C) 2004 Elsevier Inc. All rights reserved.