Note on a Noetherian conservation law and its corresponding general class of nonlinear second‐order ordinary differential equations

DOI10.1002/zamm.201600043OpenAlexW2529413833MaRDI QIDQ6065108

Leonardo Casetta

Publication date: 11 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201600043

zbMATH Keywords

absolute invariancenonlinear second-order ordinary differential equationsNoetherian conservation lawtransformation generators not depending on derivative

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Hamiltonian and Lagrangian mechanics (70Hxx) Qualitative theory for ordinary differential equations (34Cxx)

Cites Work

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• The inverse problem of Lagrangian mechanics for a non-material volume
• A theorem on energy integrals for linear second-order ordinary differential equations with variable coefficients
• A transformation approach for finding first integrals of motion of dynamical systems
• Fractional generalized Hamiltonian equations and its integral invariants
• Fractional generalized Hamiltonian mechanics and Poisson conservation law in terms of combined Riesz derivatives
• Conservation Laws in Systems With Variable Mass
• Hamilton's Principle and the Conservation Theorems of Mathematical Physics

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