Perturbation to Mei Symmetry and Adiabatic Invariants for Disturbed El-Nabulsi's Fractional Birkhoff System*

DOI10.1088/0253-6102/64/2/171zbMath1321.37055OpenAlexW2520945840MaRDI QIDQ2948520

Chuan-Jing Song, Yi Zhang

Publication date: 1 October 2015

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/64/2/171

zbMATH Keywords

adiabatic invariantconserved quantityMei symmetryEl-Nabulsi's fractional Birkhoff system

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (6)

Lie symmetry and invariants for a generalized Birkhoffian system on time scales ⋮ Basic theory of fractional Mei symmetrical perturbation and its applications ⋮ A new type of adiabatic invariants for disturbed Birkhoffian system of Herglotz type ⋮ New adiabatic invariants for disturbed non-material volumes ⋮ Noether theory for Birkhoffian systems with nabla derivatives ⋮ Noether Symmetry and Conserved Quantities of Fractional Birkhoffian System in Terms of Herglotz Variational Problem

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