Delay Equations and Radiation Damping

Details Delay Equations and Radiation Damping Delay Equations and Radiation Damping

2001-01-30

arxiv.org/abs/gr-qc/0101122v3

Phys.Lett. A285 (2001) 17-26

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 1 figure, a paragraph added on page 5; 3 references added

Scientific paper

10.1016/S0375-9601(01)00327-9

Starting from delay equations that model field retardation effects, we study the origin of runaway modes 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.

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