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Dynamical systems methods in accelerator physics: The dynamic aperture problem

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Dynamics and Stochastic Processes Theory and Applications

Part of the book series: Lecture Notes in Physics ((LNP,volume 355))

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References

  1. R. Alves Pires and R. Dilão, Non-linear phenomena in circular accelerators II: beam-beam interaction and ionic impurities, in preparation.

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  2. E. D. Courant and H. S. Snyder, Theory of the alternating gradient-synchrotron, Ann. of Phys. 3 (1958) 1–48.

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  3. R. Dilão, Non-linear phenomena in circular accelerators I: a model with a non-linear diffeomorphism of the plane, CERN SPS/88-47.

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  4. W. Engel, Ganze Cremona-Transformationen von Primzahlgrad in der Ebene, Math. Ann. 136 (1958) 319–325.

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  5. M. Hénon, Numerical study of quadratic area-preserving mappings, Quart. Appl. Math. 27 (1969) 291–312.

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  6. P. Schmüser, Basic course on accelerator optics, CERN Yellow Report 87-10, 1987.

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Author information

Authors and Affiliations

  1. PS Division, CERN, CH-1211, Geneva 23, Switzerland

    Rui Alves Pires

  2. CFMC, Av. Prof. Gama Pinto 2, 1699, Lisboa Codex, Portugal

    Rui Dilão

Authors
  1. Rui Alves Pires
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  2. Rui Dilão
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Editor information

Ricardo Lima Ludwig Streit Rui Vilela Mendes

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© 1990 Springer-Verlag

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Pires, R.A., Dilão, R. (1990). Dynamical systems methods in accelerator physics: The dynamic aperture problem. In: Lima, R., Streit, L., Vilela Mendes, R. (eds) Dynamics and Stochastic Processes Theory and Applications. Lecture Notes in Physics, vol 355. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-52347-2_35

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  • DOI: https://doi.org/10.1007/3-540-52347-2_35

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52347-5

  • Online ISBN: 978-3-540-46969-8

  • eBook Packages: Springer Book Archive

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