Fimin Nikolay Nikolaevich
World Jour. of Phys., 2 (1):153-160
Fimin Nikolay Nikolaevich : Keldysh Institute of Applied Mathematics of Russian Academy of Sciences
DOI: https://doi.org/10.56439/WJP/2024.1114
Article History: Received on: 13-Sep-23, Accepted on: 05-Apr-24, Published on: 29-Apr-24
Corresponding Author: Fimin Nikolay Nikolaevich
Email: oberon@kiam.ru
Citation: Fimin Nikolay Nikolaevich (2024). Hydrodynamic substitution and dynamics of non-Hamiltonian systems. World Jour. of Phys., 2 (1 ):153-160
The possibility of transforming the system of ordinary differential equations
to the system of hydrodynamic Euler-type equations
with application of hydrodynamic substitution
for the Liouville transport equation for
phase density equivalent to the original system of equations.
Conditions for integrating of Euler-type equations are obtained by modifying
Hamilton-Jacobi method for non-Hamiltonian dynamical systems.