Electromagnetic two-body problem: recurrent dynamics in the presence of state-dependent delay

DOI10.1088/1751-8113/43/20/205103zbMath1195.37031OpenAlexW2036017336MaRDI QIDQ3565198

Jayme De Luca, Antony R. Humphries, Nicola Guglielmi, Antonio Z. Politi

Publication date: 2 June 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/43/20/205103

zbMATH Keywords

electromagnetic theory, generalelectro- and magnetostaticsbifurcation theory of functional differential equationsholomorphic families of dynamical systems, the Mandelbrot set, bifurcationsnumerical methods in optics

Mathematics Subject Classification ID

Electromagnetic theory (general) (78A25) Numerical bifurcation problems (65P30) Bifurcation theory of functional-differential equations (34K18) Electro- and magnetostatics (78A30) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

Related Items (9)

Equations of motion for variational electrodynamics ⋮ Parameterization method for unstable manifolds of delay differential equations ⋮ Local bifurcations in differential equations with state-dependent delay ⋮ Uniqueness of solutions and linearized stability for impulsive differential equations with state-dependent delay ⋮ Resonance Phenomena in a Scalar Delay Differential Equation with Two State-Dependent Delays ⋮ Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs ⋮ Finite element boundary value integration of Wheeler-Feynman electrodynamics ⋮ Solutions of the Wheeler-Feynman equations with discontinuous velocities ⋮ Singular Hopf bifurcation in a differential equation with large state-dependent delay

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