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 (6)

• Contact Hamiltonian Mechanics
• Contact Hamiltonian Systems
• An averaging principle for a completely integrable stochastic Hamiltonian system
• Contact variational integrators
• Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on $S^2\times S^3$
• Hamiltonian Systems with Lévy Noise: Symplecticity, Hamilton's Principle and Averaging Principle

Cited by in corpus (1)

• Numerical integration of stochastic contact Hamiltonian systems via stochastic Herglotz variational principle