Conserved quantities and symmetries related to stochastic Hamiltonian systems

• 来源期刊: 中国物理B（英文版）
• 关键词: stochastic dynamical systems symmetries and conserved quantities Ito and Stratanovich dynamical systems
• 年，卷（期）: 2007,（11）
• 页码范围: 3161-3167
• 页数: 7页
• 语种: 英文

摘要

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.