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The special non-autonomous Birkhoffian equations with consistent algebraic structure are studied and it has been shown that the special form of integrable Birkhoffian vector fields are equivalent to the Hamiltonian vector fields. For a quasi Hamiltonian equation, conserved quantities are computed from some of the symmetries. Finally the Birkhoffian
evolution equations are constructed.
Mehdi Nadjafikhah, Mansoureh Mirala. (2020) On Birkhoffian systems with Poisson bracket, Punjab University Journal of Mathematics, Volume 52 , Issue No.2.
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