Lie symmetry and approximate Hojman conserved quantity of Appell equations for a weakly nonholonomic system

DOI10.1007/S11071-012-0657-YzbMath1268.37075OpenAlexW2074094250WikidataQ59294307 ScholiaQ59294307MaRDI QIDQ354953

Yuelin Han, Meiling Zhang, Liqun Jia, Xiaoxiao Wang

Publication date: 22 July 2013

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

Full work available at URL: https://doi.org/10.1007/s11071-012-0657-y

zbMATH Keywords

Lie symmetryAppell equationsapproximate Hojman conserved quantityweakly nonholonomic system

Mathematics Subject Classification ID

Nonholonomic dynamical systems (37J60)

Related Items (5)

Accurate conserved quantity and approximate conserved quantity deduced from Noether symmetry for a weakly Chetaev nonholonomic system ⋮ Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms ⋮ 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 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
• 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
• Nonholonomic mechanical systems with symmetry
• Lie symmetries, perturbation to symmetries and adiabatic invariants of Lagrange system
• Lie Symmetrical Perturbation and Adiabatic Invariants of Generalized Hojman Type for Relativistic Birkhoffian Systems
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