Solutions of the Wheeler-Feynman equations with discontinuous velocities

DOI10.1063/1.4905201zbMath1345.78008arXiv1402.5108OpenAlexW2062055728WikidataQ41502186 ScholiaQ41502186MaRDI QIDQ2821584

Daniel C. De Souza, Jayme De Luca

Publication date: 21 September 2016

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5108

Mathematics Subject Classification ID

Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Motion of charged particles (78A35) Other variational principles in mechanics (70H30)

Related Items (4)

Equations of motion for variational electrodynamics ⋮ Lorentz-equivariant flow with four delays of neutral type ⋮ Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs ⋮ Chemical principle and PDE of variational electrodynamics

Cites Work

• Finite element boundary value integration of Wheeler-Feynman electrodynamics
• Solving neutral delay differential equations with state-dependent delays
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• Variational principle for the Wheeler–Feynman electrodynamics
• Electromagnetic two-body problem: recurrent dynamics in the presence of state-dependent delay
• Electromagnetic Two-Body Problem
• Classical theory of radiating electrons
• Classical Electrodynamics in Terms of Direct Interparticle Action
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