Basic theory of fractional Mei symmetrical perturbation and its applications
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Publication:1640350
DOI10.1007/s00707-017-2040-zzbMath1390.70046OpenAlexW2777598617MaRDI QIDQ1640350
Xiao-Tian Zhang, Shao-Kai Luo, Ming-Jing Yang, Yun Dai
Publication date: 14 June 2018
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-017-2040-z
Hamilton's equations (70H05) Fractional derivatives and integrals (26A33) 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) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)
Related Items (8)
Preservation of adiabatic invariants and geometric numerical algorithm for disturbed nonholonomic systems ⋮ Preservation of adiabatic invariants for disturbed Hamiltonian systems under variational discretization ⋮ Perturbation to conformal invariance and adiabatic invariants of generalized perturbed Hamiltonian system with additional terms ⋮ Adiabatic invariants and Lie symmetries on time scales for nonholonomic systems of non-Chetaev type ⋮ A new method of fractional dynamics, i.e., fractional generalized Hamilton method with additional terms, and its applications to physics ⋮ Mei symmetry and new conserved quantities of time-scale Birkhoff's equations ⋮ Noether symmetrical perturbation and adiabatic invariants for disturbed non-material volumes ⋮ Mei symmetry and conservation laws for time-scale nonshifted Hamilton equations
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