GIOTTO: A CODE FOR THE NONLINEAR ANALYSIS OF AREA-PRESERVING MAPPINGS-Reference-Cited by-同舟云学术

GIOTTO: A CODE FOR THE NONLINEAR ANALYSIS OF AREA-PRESERVING MAPPINGS

Published:1995-10 Issue:05 Volume:06 Page:651-661
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

SERVIZI G.¹,BORTOLOTTI D.²,TODESCO E.²,GIOVANNOZZI M.³,VRAHATIS M. N.⁴

Affiliation:

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

2. INFN, Sezione di Bologna, Via Irnerio 46, Bologna, I-40126, Italy

3. CERN, PS Division, Geneva, CH 1211, Switzerland

4. 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183195000551

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