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arXiv · 2102.08837

Formulation of Stochastic Contact Hamiltonian Systems

Pingyuan Wei·Zibo Wang
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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.

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Pingyuan Wei, Zibo Wang. 2021-02-17. Formulation of Stochastic Contact Hamiltonian Systems. https://doi.org/10.1063/5.0047920

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