Order reductions of Lorentz - Dirac-like equations

  title={Order reductions of Lorentz - Dirac-like equations},
  author={Juan M. Aguirregabiria and A. Hern'andez and M Rivas},
  journal={Journal of Physics A},
We discuss the phenomenon of pre-acceleration in the light of a method of successive approximations used to construct the physical order reduction of a large class of singular equations. A simple but illustrative physical example is analysed to gain more insight into the convergence properties of the method. 
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  • Bel, Zia
  • Mathematics, Physics
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  • 1985
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  • Parker, Simón
  • Physics, Mathematics
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  • 1993
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  • Flanagan, Wald
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  • J. Phys. A
  • 1997