@article{9c277b871fb64fed9b0c63570d8bfe0b,
title = "Conserved quantities and symmetries related to stochastic Hamiltonian systems",
abstract = "In this paper symmetries and conservation laws for stochastic dynamical systems are discussed in detail. Determining equations for infinitesimal approximate symmetries of Ito and Stratonovich dynamical systems are derived. It shows how to derive conserved quantities for stochastic dynamical systems by using their symmetries without recourse to Noether's theorem.",
keywords = "ITO and Stratanovich dynamical systems, Stochastic dynamical systems, Symmetries and conserved quantities",
author = "Mei Shang and Mei, {Feng Xiang}",
year = "2007",
month = nov,
day = "1",
doi = "10.1088/1009-1963/16/11/003",
language = "English",
volume = "16",
pages = "3161--3167",
journal = "Chinese Physics",
issn = "1009-1963",
publisher = "IOP Publishing Ltd.",
number = "11",
}