Formulation of Stochastic Contact Hamiltonian Systems

Abstract

In this work we devise a stochastic version of contact Hamiltonian systems, and show that the phase flows of these systems preserve contact structures. Moreover, we provide a sufficient condition under which these stochastic contact Hamiltonian systems are completely integrable. This establishes an appropriate framework for investigating stochastic contact Hamiltonian systems.

References in corpus (2)

• An averaging principle for a completely integrable stochastic Hamiltonian system
• Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on $S^2\times S^3$