,Conserved quantities and symmetries related to stochastic Hamiltonian systems

• 作 者: Shang Mei Mei Feng-Xiang
• 机 构: Faculty of Science,Beijing Institute of Technology,Beijing 100081,China
• 出 处: 中国物理B（英文版）
• 发表日期: 2007年11期
• 关键词: stochastic dynamical systems symmetries and conserved quantities Ito and Stratan

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.