Algebraic structure and Poisson brackets of single degree of freedom non-material volumes

DOI10.1007/s00707-018-2119-1zbMath1392.70013OpenAlexW2787640804MaRDI QIDQ725188

Wen-An Jiang, Zhao-Wang Xia, Kun Liu, Li-Li Xia

Publication date: 1 August 2018

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-018-2119-1

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03)

Related Items (4)

Conformal invariance and conserved quantities of nonmaterial volumes ⋮ New adiabatic invariants for disturbed non-material volumes ⋮ Noether symmetrical perturbation and adiabatic invariants for disturbed non-material volumes ⋮ The dynamical equation of relative motion for non-material volumes

Cites Work

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• Poisson's theory of Birkhoffian system
• Algebraic structures and Poisson integrals of relativistic dynamical equations for rotational systems
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• The generalized Hamilton's principle for a non-material volume
• A Riccati-type solution of Euler-Poisson equations of rigid body rotation over the fixed point
• A generalization of Noether's theorem for a non‐material volume

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