Delay equations and radiation damping

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Delay equations and radiation damping

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Title: Delay equations and radiation damping
Author: Chicone, Carmen Charles; Kopeikin, Sergei M.; Mashhoon, Bahram; Retzloff, David
Keywords: general relativity
quantum cosmology
Date: 2001-05-02
Publisher: arXiv
Citation: arXiv:gr-qc/0101122v3
Abstract: Starting from delay equations that model field retardation effects, we study the origin of runawaymodes that appear in the solutions of the classical equations of motion involving the radiation reaction force. When retardation effects are small, we argue that the physically significant solutions belong to the so-called slow manifold of the system and we identify this invariant manifold with the attractor in the state space of the delay equation. We demonstrate via an example that when retardation effects are no longer small, the motion could exhibit bifurcation phenomena that are not contained in the local equations of motion.
URI: http://hdl.handle.net/10355/6982

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