Lie Symmetrical Perturbation and Adiabatic Invariants of Generalized Hojman Type for Relativistic Birkhoffian Systems

DOI10.1088/0253-6102/47/1/006zbMath1355.35008OpenAlexW2072157757MaRDI QIDQ2959139

Shao-Kai Luo, Yong-Xin Guo

Publication date: 7 February 2017

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

Full work available at URL: https://doi.org/10.1088/0253-6102/47/1/006

zbMATH Keywords

relativityBirkhoffian systemexact invariantadiabatic invariant of generalized Hojman typeLie symmetrical perturbation

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (9)

Preservation of adiabatic invariants and geometric numerical algorithm for disturbed nonholonomic systems ⋮ A new Lie symmetrical method of finding a conserved quantity for a dynamical system in phase space ⋮ Lie symmetry and approximate Hojman conserved quantity of Appell equations for a weakly nonholonomic system ⋮ A Lie symmetrical basic integral variable relation and a new conservation law for generalized Hamiltonian systems ⋮ A new type of non-Noether exact invariants and adiabatic invariants of generalized Hamiltonian systems ⋮ Lie symmetries, symmetrical perturbation and a new adiabatic invariant for disturbed nonholonomic systems ⋮ Lie symmetrical perturbation and a new type of non-Noether adiabatic invariants for disturbed generalized Birkhoffian systems ⋮ Special Mei symmetry and approximate conserved quantity of Appell equations for a weakly nonholonomic system ⋮ A new type of fractional Lie symmetrical method and its applications

Cites Work

• Relativistic variation principles and equation of motion for variable mass controllable mechanical system
• Form invariance and Noether symmetrical conserved quantity of relativistic Birkhoffian systems
• Lie symmetries and conserved quantities of Birkhoffian system
• Nonuniformity of Adiabatic Invariance for Nonlinear Oscillators

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