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1<head>
2<title>References</title>
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5</head>
6
7<body bgcolor="#ffffff">
8
9<h2>References</h2>
10
11<hr>
12<a href="http://cern.ch/mad">MAD Home Page</a>,
13<a href="http://cern.ch/mad8/user/mad.html">MAD-8 User Guide</a>.
14<hr>
15
16<dl>
17<dt><a name=gks><i>1</i></a><dd>
18<i>The Graphical Kernel System (GKS)</i>.
19ISO, Geneva, July 1985.
20International Standard ISO 7942.
21<p>
22<dt><a name=autin><i>2</i></a><dd>
23B. Autin and Y. Marti.
24<i>Closed Orbit Correction of Alternating Gradient Machines
25  using a small Number of Magnets</i>.
26CERN/ISR-MA/73-17, CERN, 1973.
27<p>
28<dt><a name=barber><i>3</i></a><dd>
29D.P. Barber, K. Heinemann, H. Mais and G. Ripken,
30<I>A Fokker--Planck Treatment of Stochastic Particle Motion within
31  the Framework of a Fully Coupled 6-dimensional Formalism for
32  Electron-Positron Storage Rings including Classical Spin Motion in
33  Linear Approximation</I>,
34DESY report 91-146, 1991.
35<p>
36<dt><a name=bartolini><i>4</i></a><dd>
37R. Bartolini, A. Bazzani, M. Giovannozzi, W. Scandale and E. Todesco,
38<I>Tune evaluation in simulations and experiments</I>,
39CERN SL/95-84 (AP) (1995).
40<p>
41<dt><a name=bjorken><i>5</i></a><dd>
42J. D. Bjorken and S. K. Mtingwa.
43<i>Particle Accelerators</i> <b>13</b>, pg. 115.
44<p>
45<dt><a name=moon><i>6</i></a><dd>
46E. M. Bollt and J. D. Meiss,
47<I>Targeting chaotic orbits to the Moon through recurrence</I>,
48Phys. Lett. A 204,373 (1995).
49<p>
50<dt><a name=bramham><i>7</i></a><dd>
51P. Bramham and H. Henke.
52private communication and LEP Note LEP-70/107, CERN.
53<p>
54<dt><a name=slac75><i>8</i></a><dd>
55Karl L. Brown.
56<i>A First-and Second-Order Matrix Theory for the Design
57  of Beam Transport Systems and Charged Particle Spectrometers</i>.
58SLAC 75, Revision 3, SLAC, 1972.
59<p>
60<dt><a name=transport><i>9</i></a><dd>
61Karl L. Brown, D. C. Carey, Ch. Iselin, and F. Rothacker.
62<i>TRANSPORT - A Computer Program for Designing Charged
63  Particle Beam Transport Systems</i>.
64CERN 73-16, revised as CERN 80-4, CERN, 1980.
65<p>
66<dt><a name=chao><i>10</i></a><dd>
67A. Chao.
68<i>Evaluation of beam distribution parameters in an electron
69  storage ring</i>.
70Journal of Applied Physics, 50:595-598, 1979.
71<p>
72<dt><a name=chao1><i>11</i></a><dd>
73A. W. Chao and M. J. Lee.
74<i>SPEAR II Touschek lifetime</i>.
75SPEAR-181, SLAC, October 1974.
76<p>
77<dt><a name=conte><i>12</i></a><dd>
78M. Conte and M. Martini.
79<i>Particle Accelerators</i> <b>17</b>, 1 (1985).
80<p>
81<dt><a name=courant><i>13</i></a><dd>
82E. D. Courant and H. S. Snyder.
83<i>Theory of the alternating gradient synchrotron</i>.
84Annals of Physics, 3:1-48, 1958.
85<p>
86<dt><a name=tfs><i>14</i></a><dd>
87Ph. Defert, Ph. Hofmann, and R. Keyser.
88<i>The Table File System, the C Interfaces</i>.
89LAW Note 9, CERN, 1989.
90<p>
91<dt><a name=donald><i>15</i></a><dd>
92M. Donald and D. Schofield.
93<i>A User's Guide to the <tt>HARMON</tt> Program</i>.
94LEP Note 420, CERN, 1982.
95<p>
96<dt><a name=dragt><i>16</i></a><dd>
97A. Dragt.
98<i>Lectures on Nonlinear Orbit Dynamics</i>, 1981 Summer School on High
99  Energy Particle Accelerators, Fermi National Accelerator Laboratory, July
100  1981.
101American Institute of Physics, 1982.
102<p>
103<dt><a name=edwards><i>17</i></a><dd>
104D. A. Edwards and L. C. Teng.
105<i>Parametrisation of linear coupled motion in periodic systems</i>.
106IEEE Trans. on Nucl. Sc., 20:885, 1973.
107<p>
108<dt><a name=giovanozzi><i>18</i></a><dd>
109M. Giovannozzi,
110<I>Analysis of the stability domain of planar symplectic maps using
111invariant manifolds</I>,
112CERN/PS 96-05 (PA) (1996).
113<p>
114<dt><a name=gxplot><i>19</i></a><dd>
115H. Grote.
116<i>GXPLOT User's Guide and Reference Manual</i>.
117LEP TH Note 57, CERN, 1988.
118<p>
119<dt><a name=lep><i>20</i></a><dd>
120LEP Design Group.
121<i>Design Study of a 22 to 130 GeV electron-positron Colliding Beam Machine
122  (LEP)</i>.
123CERN/ISR-LEP/79-33, CERN, 1979.
124<p>
125<dt><a name=beamparam<i>21</i></a><dd>
126M. Hanney, J. M. Jowett, and E. Keil.
127<i>BEAMPARAM - A program for computing beam dynamics and
128  performance of electron-positron storage rings</i>.
129CERN/LEP-TH/88-2, CERN, 1988.
130<p>
131<dt><a name=helm><i>22</i></a><dd>
132R. H. Helm, M. J. Lee, P. L. Morton, and M. Sands.
133<i>Evaluation of synchrotron radiation integrals</i>.
134IEEE Trans. Nucl. Sc., NS-20, 1973.
135<p>
136<dt><a name=minuit><i>23</i></a><dd>
137F. James.
138<i>MINUIT, A package of programs to minimise a function of n
139  variables, compute the covariance matrix, and find the true errors</i>.
140program library code D507, CERN, 1978.
141<p>
142<dt><a name=keil><i>24</i></a><dd>
143E. Keil.
144<i>Synchrotron radiation from a large electron-positron storage ring</i>.
145CERN/ISR-LTD/76-23, CERN, 1976.
146<p>
147<dt><a name=knuth><i>25</i></a><dd>
148D. E. Knuth.
149<i>The Art of Computer Programming</i>.
150Volume 2, Addison-Wesley, second edition, 1981.
151Semi-numerical Algorithms.
152<p>
153<dt><a name=laskar><i>26</i></a><dd>
154J. Laskar, C. Froeschle and A. Celletti,
155<I>The measure of chaos by the numerical analysis of the fundamental
156  frequencies. Application to the standard mapping</I>,
157Physica D 56, 253 (1992).
158<p>
159<dt><a name=mais><i>27</i></a><dd>
160H. Mais and G. Ripken,
161<i>Theory of Coupled Synchro-Betatron Oscillations</i>.
162DESY internal Report, DESY M-82-05, 1982.
163<p>
164<dt><a name=malika><i>28</i></a><dd>
165M. Meddahi,
166<I>Chromaticity correction for the 108/60 degree lattice</I>,
167CERN SL/Note 96-19 (AP) (1996).
168<p>
169<dt><a name=ruggiero><i>29</i></a><dd>
170J. Milutinovic and S. Ruggiero.
171<i>Comparison of Accelerator Codes for a RHIC Lattice</i>.
172AD/AP/TN-9, BNL, 1988.
173<p>
174<dt><a name=montague><i>30</i></a><dd>
175B. W. Montague.
176<i>Linear Optics for Improved Chromaticity Correction</i>.
177LEP Note 165, CERN, 1979.
178<p>
179<dt><a name=ripken><i>31</i></a><dd>
180Gerhard Ripken,
181<i>Untersuchungen zur Strahlf&#252;hrung und Stabilit&#228;t der
182Teilchenbewegung in Beschleunigern und Storage-Ringen unter strenger
183Ber&#252;cksichtigung einer Kopplung der Betatronschwingungen</i>.
184DESY internal Report R1-70/4, 1970.
185<p>
186<dt><a name=chamonix96><i>32</i></a><dd>
187F. Ruggiero,
188<I>Dynamic Aperture for LEP 2 with various optics and tunes</I>,
189Proc. Sixth Workshop on LEP Performance, Chamonix, 1996,
190ed. J. Poole (CERN SL/96-05 (DI),1996), pp. 132--136.
191<p>
192<dt><a name=teng><i>33</i></a><dd>
193L. C. Teng.
194<i>Concerning n-Dimensional Coupled Motion</i>.
195FN 229, FNAL, 1971.
196<p>
197<dt><a name=voelkel><i>34</i></a><dd>
198U. V&#246;lkel.
199<i>Particle loss by Touschek effect in a storage ring</i>.
200DESY 67-5, DESY, 1967.
201<p>
202<dt><a name=walker><i>35</i></a><dd>
203R. P. Walker.
204<i>Calculation of the Touschek lifetime in electron storage rings</i>.
2051987.
206Also SERC Daresbury Laboratory preprint, DL/SCI/P542A.
207<p>
208<dt><a name=wilson><i>36</i></a><dd>
209P. B. Wilson.
210<i>Proc. 8th Int. Conf. on High-Energy Accelerators</i>.
211Stanford, 1974.
212<p>
213<dt><a name=wrulich><i>37</i></a><dd>
214A. Wr&#252;lich and H. Meyer.
215<i>Life time due to the beam-beam bremsstrahlung effect</i>.
216PET-75-2, DESY, 1975.
217</dl>
218
219<hr>
220<a href="http://cern.ch/mad">MAD Home Page</a>,
221<a href="http://cern.ch/mad8/user/mad.html">MAD-8 User Guide</a>.
222<hr>
223
224<address>
225<a href="http://wwwslap.cern.ch/fci/fci_sign.html">fci</a>,
226January 23, 1997
227</address>
228
229</body>
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