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A program to compute Birkhoff normal forms of symplectic maps in 4

  • Published:1995-04 Issue:1-2 Volume:86 Page:199-207
  • ISSN:0010-4655
  • Container-title:Computer Physics Communications
  • language:en
  • Short-container-title:Computer Physics Communications

Author:

Bazzani A.,Giovannozzi M.,Todesco E.

Publisher

Elsevier BV

Subject

General Physics and Astronomy,Hardware and Architecture

Reference13 articles.

1. Nonlinear Problems in Future Particle Accelerators;Scandale,1990

2. LHC: the Large Hadron Collider Accelerator Project,1993

3. Lie series and invariant functions for analytic symplectic maps;Dragt;J. Math. Phys.,1976

4. Normal form methods for complicated periodic systems: a complete solution using differential algebra;Forest;Part. Accel.,1989

5. A normal form approach to the theory of nonlinear betatronic motion;Bazzani,1994

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1. Hamiltonian theory of the crossing of the 2Qx−2Qy=0 nonlinear coupling resonance;Physical Review Accelerators and Beams;2022-10-24

2. Manipulation of transverse emittances in circular accelerators by crossing nonlinear 2D resonances;The European Physical Journal Plus;2022-05-16

3. Hamiltonian maps and normal forms for intense beams;Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment;2006-06

4. Analysis of a model for resonant extraction of intense beams by normal forms and frequency map;Physical Review Special Topics - Accelerators and Beams;2001-11-28

5. Resonant Normal forms for four Dimensional Symplectic Mappings and Applications to Nonlinear Beam Dynamics;Hamiltonian Systems with Three or More Degrees of Freedom;1999
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