The effect of radiation on the stochastic web

DOI10.1155/S1026022600000261zbMATH Open0985.37103arXivchao-dyn/9901015MaRDI QIDQ5929112

Publication date: 2000

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Abstract: A charged particle circling in a uniform magnetic field and kicked by an electric field is considered. Under the assumption of small magnetic field, an iterative map is developed. Comparison between the (relativistic) non-radiative case and the (relativistic) radiative case shows that in both cases one can observe a stochastic web structure, and that both cases are qualitatively similar.

Full work available at URL: https://arxiv.org/abs/chao-dyn/9901015

zbMATH Keywords

chaos uniform magnetic field charged particle kicked oscillator radiation reaction relativity stochastic web

Mathematics Subject Classification ID

Quantum chaos (81Q50) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Waves and radiation in optics and electromagnetic theory (78A40)

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