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Giotto: A Code For The Nonlinear Analysis Of Area-Preserving Mappings

Author

Listed:
  • G. SERVIZI

    (Department of Mathematics, University of Bologna, P.za di Porta S. Donato 1, Bologna, I-40126, Italy)

  • D. BORTOLOTTI

    (INFN, Sezione di Bologna, Via Irnerio 46, Bologna, I-40126, Italy)

  • E. TODESCO

    (INFN, Sezione di Bologna, Via Irnerio 46, Bologna, I-40126, Italy)

  • M. GIOVANNOZZI

    (CERN, PS Division, Geneva, CH 1211, Switzerland)

  • M. N. VRAHATIS

    (Department of Mathematics, University of Patras, Patras, GR-26110, Greece)

Abstract

An interactive code for the analysis of nonlinear area-preserving mappings is described; several facilities allow the user to draw phase portraits, make zooming, and use colors. The perturbative approach of normal forms and all the standard tools for the analysis of the nonlinear dynamics (Fourier spectra, Lyapunov exponents, fixed points …) are implemented in a user-friendly graphic environment based on X-window and OSF-Motif. Both simple models and more involved mappings which describe the betatronic motion in a particle accelerator can be implemented.

Suggested Citation

  • G. Servizi & D. Bortolotti & E. Todesco & M. Giovannozzi & M. N. Vrahatis, 1995. "Giotto: A Code For The Nonlinear Analysis Of Area-Preserving Mappings," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 6(05), pages 651-661.
    • Handle: RePEc:wsi:ijmpcx:v:06:y:1995:i:05:n:s0129183195000551
    DOI: 10.1142/S0129183195000551
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