Lagrangian dynamics by nonlocal constants of motion

DOI10.3934/dcdss.2020216zbMath1461.37054arXiv2006.14844OpenAlexW3105949535WikidataQ126396187 ScholiaQ126396187MaRDI QIDQ827474

Gaetano Zampieri, Gianluca Gorni

Publication date: 12 January 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.14844

zbMATH Keywords

global existencehomogeneous potentialsMaxwell-Bloch equationsexplosion in the pasthydraulic fluid resistancenonlocal constants of motionnonstandard separation of variablesviscous fluid resistance

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

Related Items (5)

The Geodesics for Poincaré’s Half-Plane: A Nonstandard Derivation ⋮ Nonlocal Constants of Motions of Equations of Painlevé – Gambier Type and Generalized Sundman Transformation ⋮ Conserved currents from nonlocal constants in relativistic scalar field theories ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• A quasi separable dissipative Maxwell-Bloch system for laser dynamics
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• Classical Noether theory with application to the linearly damped particle
• Lie symmetries and Noether symmetries
• Revisiting Noether's Theorem on constants of motion
• Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]

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