Inverse Variational Problem and Symmetry in Action: The Relativistic Third Order Dynamics

DOI10.2991/978-94-6239-109-3_3zbMath1337.49064arXiv1608.03197OpenAlexW2394047081MaRDI QIDQ2806302

Roman Ya. Matsyuk

Publication date: 17 May 2016

Published in: The Inverse Problem of the Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.03197

zbMATH Keywords

symmetry principlesinverse variational problemvector-valued differential formsflat three-dimensional space-timefree relativistic topPoincaré-invariant variational equation

Mathematics Subject Classification ID

Inverse problems in optimal control (49N45)

Cites Work

• Criteria for partial differential equations to be Euler-Lagrange equations
• On the Euler-Lagrange differential in fibered manifolds
• The geometry of ordinary variational equations
• Frenet–Serret dynamics
• Dynamics of relativistic particles with Lagrangians dependent on acceleration
• Lagrangian model of a massless particle on spacelike curves
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