Conserved quantities of conservative continuous systems by Mei symmetries
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Publication:1696630
DOI10.1007/s00707-017-1973-6zbMath1427.70042OpenAlexW2756491035MaRDI QIDQ1696630
Shun Jiang, Jian-Hui Fang, Xi-Wu Luan, Gang Fang
Publication date: 14 February 2018
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-017-1973-6
Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)
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Preservation of adiabatic invariants and geometric numerical algorithm for disturbed nonholonomic systems ⋮ Mei symmetry and conservation laws for time-scale nonshifted Hamilton equations
Cites Work
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- Perturbations of Lagrangian systems based on the preservation of subalgebras of Noether symmetries
- Noether symmetries and conserved quantities for fractional Birkhoffian systems
- A Lie symmetrical basic integral variable relation and a new conservation law for generalized Hamiltonian systems
- Conformal invariance of Mei symmetry for discrete Lagrangian systems
- Many conserved quantities induced by Lie symmetries of a Lagrangian system
- A new method of fractional dynamics, i.e., fractional Mei symmetrical method for finding conserved quantity, and its applications to physics
- A new type of fractional Lie symmetrical method and its applications
- Form invariance, Noether symmetry and Lie symmetry of Hamiltonian systems in phase space
- Lie symmetries and their inverse problems of nonholonomic Hamilton systems with fractional derivatives
- Conformal invariance of Mei symmetry for the non-holonomic systems of non-Chetaev's type
- Special Mei symmetry and approximate conserved quantity of Appell equations for a weakly nonholonomic system
- Variational problem of Herglotz type for Birkhoffian system and its Noether's theorems
- A new Lie symmetrical method of finding a conserved quantity for a dynamical system in phase space
- A new type of conserved quantity induced by symmetries of Lagrange system
- Noether-type symmetries and conservation laws via partial Lagrangians
- Lie symmetries, perturbation to symmetries and adiabatic invariants of Lagrange system
- Dynamical symmetries and conserved quantities
- A new conservation law constructed without using either Lagrangians or Hamiltonians
- Mei Symmetry and Lie Symmetry of the Rotational Relativistic Variable Mass System
- On the inversion of Noether's theorem in the Lagrangian formalism
