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Contact dynamics, contact Poisson bracket, and symplectic integrator -- Even Arnold nodds (2207.06722v1)
Published 14 Jul 2022 in math-ph and math.MP
Abstract: By introducing an integration factor to the differential one-form of contact dynamics, equations of motion are derived variationally, and contact Poisson bracket and contact Lagrangian are formulated. Discrete symplectic integrator, named hybrid leap-frog method, is found to be a numerical solver of equations of motion for contact dissipative systems.