Noether theorem for action-dependent Lagrangian functions: conservation laws for non-conservative systems

DOI10.1007/s11071-019-05036-zzbMath1430.37069arXiv1906.06182OpenAlexW2952717050WikidataQ127708622 ScholiaQ127708622MaRDI QIDQ2296196

J. Paiva, Gastão S. F. Frederico, Matheus Jatkoske Lazo

Publication date: 17 February 2020

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

Full work available at URL: https://arxiv.org/abs/1906.06182

zbMATH Keywords

Noether theoremnon-conservative systemsHerglotz variational problemaction-dependent Lagrangian functions

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06) Variational principles and methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K58)

Related Items (2)

Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems ⋮ A geometric approach to the generalized Noether theorem

Cites Work

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• Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether's first theorem
• Noether's theorem and its inverse of Birkhoffian system in event space based on Herglotz variational problem
• First Noether-type theorem for the generalized variational principle of Herglotz
• Variational methods in nonconservative phenomena
• Noether's theorem for fractional Herglotz variational principle in phase space
• Variational problem of Herglotz type for Birkhoffian system and its Noether's theorems
• The action principle for dissipative systems
• The range of application of the lagrange formalism — I
• The Wave Mechanical Damped Harmonic Oscillator
• Noether Symmetry and Conserved Quantities of Fractional Birkhoffian System in Terms of Herglotz Variational Problem
• Dissipative Dynamical Systems
• On Dissipative Systems and Related Variational Principles
• An action principle for action-dependent Lagrangians: Toward an action principle to non-conservative systems
• Generalized variational principle of Herglotz for several independent variables. First Noether-type theorem

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