| Title |
Hénon-Heiles Single Particle Dynamics at IOTA |
| Authors |
- S. A. Antipov
University of Chicago, Chicago, Illinois, USA
- S. Nagaitsev
Fermilab, Batavia, Illinois, USA
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| Abstract |
A Hénon-Heiles system is a simple, classical nonlinear Hamiltonian system offering a wide range of particle dynamics from regular orbits to resonant behavior to chaotic trajectories. Initially proposed to describe the motion of stars around a galactic center, it remains a vivid topic in Dynamics and Mathematical Physics since its discovery in 1964. Although the system and its modifications have been extensively studied numerically, its dynamics has never been observed in a controlled experiment. In this report we show that it is possible to create the Hénon-Heiles Hamiltonian using sextupoles in a realistic accelerator lattice. We propose a special sextupole channel to create the desired potential at the IOTA ring and study the 3D single particle dynamics by frequency map analysis and Poincare cross-sections. The proposed experiment would allow real world testing of regular and chaotic motion with a controlled strength of the nonlinearity.
|
| Paper |
download WEOAB1.PDF [0.830 MB / 4 pages] |
| Slides |
download WEOAB1_TALK.PDF [4.685 MB] |
| Export |
download ※ BibTeX
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※ EndNote |
| Conference |
IPAC2017, Copenhagen, Denmark |
| Series |
International Particle Accelerator Conference (8th) |
| Proceedings |
Link to full IPAC2017 Proccedings |
| Session |
Contributed Oral Presentations, Beam Dynamics and Electromagnetic Fields |
| Date |
17-May-17 09:30–10:30 |
| Main Classification |
05 Beam Dynamics and Electromagnetic Fields |
| Sub Classification |
D02 Non-linear Single Particle Dynamics - Resonances, Tracking, Higher Order, Dynamic Aperture, Code |
| Keywords |
sextupole, lattice, experiment, synchrotron, electron |
| Publisher |
JACoW, Geneva, Switzerland |
| Editors |
Volker RW Schaa (GSI, Darmstadt, Germany); Gianluigi Arduini (CERN, Geneva, Switzerland); Juliana Pranke (ESS, Lund, Sweden); Mike Seidel (PSI, Villigen, Switzerland); Mats Lindroos (ESS, Lund, Sweden) |
| ISBN |
978-3-95450-182-3 |
| Published |
May 2017 |
| Copyright |
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