Special Lie symmetry and Hojman conserved quantity of Appell equations for a Chetaev nonholonomic system

DOI10.1007/s11071-013-0791-1zbMath1281.37024OpenAlexW2049356012WikidataQ59301215 ScholiaQ59301215MaRDI QIDQ2435629

Meiling Zhang, Liqun Jia, Xiaoxiao Wang, Yuelin Han

Publication date: 19 February 2014

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-013-0791-1

zbMATH Keywords

Lie symmetryAppell equationsHojman conserved quantityChetaev nonholonomic system

Mathematics Subject Classification ID

Related Items (5)

Accurate conserved quantity and approximate conserved quantity deduced from Noether symmetry for a weakly Chetaev nonholonomic system ⋮ Conformal invariance of Mei symmetry and conserved quantities of Lagrange equation of thin elastic rod ⋮ A new type of fractional Lie symmetrical method and its applications ⋮ Noether symmetries and conserved quantities for Birkhoffian systems with time delay ⋮ Conformal invariance and conserved quantity of Mei symmetry for Appell equations in a nonholonomic system of Chetaev's type

Cites Work

• A new Lie symmetrical method of finding conserved quantity for Birkhoffian systems
• A Lie symmetrical basic integral variable relation and a new conservation law for generalized Hamiltonian systems
• Conformal invariance for the nonholonomic constrained mechanical system of non-Chetaev's type
• 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 Lie symmetrical method of finding a conserved quantity for a dynamical system in phase space
• Lie symmetries, perturbation to symmetries and adiabatic invariants of Lagrange system
• Method for unsupervised text location based on brightness grading and direction density
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