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<BR> <P>
<P><A NAME="SECTIONREF"><H2>References</H2></A><P>
<DL>
<DT><A NAME="tisean"><STRONG>1</STRONG></A><DD>
The TISEAN software package is publicly available at <a href="../../../../../tppmsgs/msgs0.htm#2" tppabs="http://www.mpipks-dresden.mpg.de/~tisean">http://www.mpipks-dresden.mpg.de/~tisean</a>.
The distribution includes an online documentation system.
<P>
<DT><a name="book"><A NAME="KantzSchreiber"><STRONG>2</STRONG></A><DD>
H. Kantz and T. Schreiber,
``<a href="../../../../../tppmsgs/msgs0.htm#6" tppabs="http://www.theorie.physik.uni-wuppertal.de/Chaos/schreiber/myrefs/book.html">Nonlinear Time Series Analysis</a>''.
Cambridge University Press, Cambridge (1997).
<P>
<DT><A NAME="habil"><STRONG>3</STRONG></A><DD>
T. Schreiber,
<EM><a href="../../../../../tppmsgs/msgs0.htm#23" tppabs="http://xxx.lanl.gov/abs/chao-dyn/9807001">Interdisciplinary application of nonlinear time series methods</a></EM>,
Phys. Reports <b>308</b>, 1 (1999).
<P>
<DT><A NAME="KaplanGlass"><STRONG>4</STRONG></A><DD>
D. Kaplan and L. Glass,
``Understanding Nonlinear Dynamics'',
Springer, New York (1995).
<P>
<DT><A NAME="Ott"><STRONG>5</STRONG></A><DD>
E. Ott,
``Chaos in Dynamical Systems'',
Cambridge University Press, Cambridge (1993).
<P>
<DT><A NAME="Berge"><STRONG>6</STRONG></A><DD>
P. Bergé, Y. Pomeau, and C. Vidal,
``Order Within Chaos: Towards a deterministic approach to turbulence'',
Wiley, New York (1986).
<P>
<DT><A NAME="Schuster"><STRONG>7</STRONG></A><DD>
H.-G. Schuster,
``Deterministic Chaos: An introduction''.
Physik Verlag, Weinheim (1988).
<P>
<DT><A NAME="KatokHasselblatt"><STRONG>8</STRONG></A><DD>
A. Katok and B. Hasselblatt
``Introduction to the Modern Theory of Dynamical Systems'',
Cambridge University Press, Cambridge (1996).
<P>
<DT><A NAME="coping"><STRONG>9</STRONG></A><DD>
E. Ott, T. Sauer, and J. A. Yorke,
``Coping with Chaos'',
Wiley, New York (1994).
<P>
<DT><A NAME="abarbook"><STRONG>10</STRONG></A><DD>
H. D. I. Abarbanel,
``Analysis of Observed Chaotic Data'',
Springer, New York (1996).
<P>
<DT><A NAME="gss"><STRONG>11</STRONG></A><DD>
P. Grassberger, T. Schreiber, and C. Schaffrath,
<EM>Non-linear time sequence analysis</EM>,
Int. J. Bifurcation and Chaos <B>1</B>, 521 (1991).
<P>
<DT><A NAME="abarbanel"><STRONG>12</STRONG></A><DD>
H. D. I. Abarbanel, R. Brown, J. J. Sidorowich, and L. Sh. Tsimring,
<EM>The analysis of observed chaotic data in physical systems</EM>,
Rev. Mod. Phys. <B>65</B>, 1331 (1993).
<P>
<DT><A NAME="kugiumtzis_rev1"><STRONG>13</STRONG></A><DD>
D. Kugiumtzis, B. Lillekjendlie, n. Christophersen,
<EM>Chaotic time series I</EM>,
Modeling, Identification and Control <B>15</B>, 205 (1994).
<P>
<DT><A NAME="kugiumtzis_rev2"><STRONG>14</STRONG></A><DD>
D. Kugiumtzis, B. Lillekjendlie, n. Christophersen,
<EM>Chaotic time series II</EM>,
Modeling, Identification and Control <B>15</B>, 225 (1994).
<P>
<DT><A NAME="Mayer-Kress"><STRONG>15</STRONG></A><DD>
G. Mayer-Kress, ed.,
``Dimensions and Entropies in Chaotic Systems'',
Springer, Berlin (1986).
<P>
<DT><A NAME="casdagli"><STRONG>16</STRONG></A><DD>
M. Casdagli and S. Eubank, eds.,
``Nonlinear Modeling and Forecasting'',
Santa Fe Institute Studies in the Science of Complexity, Proc. Vol. XII,
Addison-Wesley, Reading, MA (1992).
<P>
<DT><A NAME="SFI"><STRONG>17</STRONG></A><DD>
A. S. Weigend and N. A. Gershenfeld, eds.,
``Time Series Prediction: Forecasting the future and understanding the
past'',
Santa Fe Institute Studies in the Science of Complexity, Proc. Vol. XV,
Addison-Wesley, Reading, MA (1993).
<P>
<DT><A NAME="dyndis"><STRONG>18</STRONG></A><DD>
J. Bélair, L. Glass, U. an der Heiden, and J. Milton, eds.,
``Dynamical Disease'',
AIP Press (1995).
<P>
<DT><A NAME="freital"><STRONG>19</STRONG></A><DD>
H. Kantz, J. Kurths, and G. Mayer-Kress, eds.,
``Nonlinear analysis of physiological data'',
Springer, Berlin (1998).
<P>
<DT><a name="box-assisted"><A NAME="neigh"><STRONG>20</STRONG></A><DD>
T. Schreiber,
<EM><a href="../../../../../tppmsgs/msgs0.htm#24" tppabs="http://www.theorie.physik.uni-wuppertal.de/Chaos/schreiber/myrefs/neigh.ps.gz">Efficient neighbor searching in nonlinear time series analysis</a></EM>,
Int. J. Bifurcation and Chaos <B>5</B>, 349 (1995).
<P>
<DT><A NAME="takens"><STRONG>21</STRONG></A><DD>
F. Takens,
``Detecting Strange Attractors in Turbulence'',
Lecture Notes in Math. Vol. 898, Springer, New York (1981).
<P>
<DT><A NAME="embed"><STRONG>22</STRONG></A><DD>
T. Sauer, J. Yorke, and M. Casdagli,
<EM>Embedology</EM>,
J. Stat. Phys. <B>65</B>, 579 (1991).
<P>
<DT><A NAME="marcus"><STRONG>23</STRONG></A><DD>
M. Richter and T. Schreiber,
<EM><a href="../../../../../tppmsgs/msgs0.htm#25" tppabs="http://xxx.lanl.gov/abs/chao-dyn/9807035">Phase space embedding of electrocardiograms</a></EM>,
Phys. Rev. E <b>58</b>, 6392 (1998)
<P>
<DT><A NAME="Casdagli"><STRONG>24</STRONG></A><DD>
M. Casdagli, S. Eubank, J. D. Farmer, and J. Gibson,
State space reconstruction in the presence of noise,
Physica D <B>51</B>, 52 (1991).
<P>
<DT><A NAME="fraser"><STRONG>25</STRONG></A><DD>
A. M. Fraser and H. L. Swinney,
<EM>Independent coordinates for strange attractors from mutual
information</EM>,
Phys. Rev. A <B>33</B>, 1134 (1986).
<P>
<DT><A NAME="pompe"><STRONG>26</STRONG></A><DD>
B. Pompe,
<EM>Measuring statistical dependences in a time series</EM>,
J. Stat. Phys. <B>73</B>, 587 (1993).
<P>
<DT><A NAME="milan"><STRONG>27</STRONG></A><DD>
M. Paluš,
<EM>Testing for nonlinearity using redundancies: Quantitative and
qualitative aspects</EM>,
Physica D <B>80</B>, 186 (1995).
<P>
<DT><a name="kennel92"><A NAME="kennelFNN"><STRONG>28</STRONG></A><DD>
M. B. Kennel, R. Brown, and H. D. I. Abarbanel,
<EM>Determining embedding dimension for phase-space reconstruction using a
geometrical construction</EM>,
Phys. Rev. A <B>45</B>, 3403 (1992).
<P>
<DT><A NAME="kennel"><STRONG>29</STRONG></A><DD>
<a href="../../../../../tppmsgs/msgs0.htm#26" tppabs="http://hpux.cs.utah.edu/hppd/hpux/Physics/embedding-26.May.93">http://hpux.cs.utah.edu/hppd/hpux/Physics/embedding-26.May.93</a>
<P>
<DT><A NAME="abla"><STRONG>30</STRONG></A><DD>
<a href="../../../../../tppmsgs/msgs0.htm#27" tppabs="http://www.zweb.com/apnonlin/">http://www.zweb.com/apnonlin/</a>
<P>
<DT><A NAME="PC"><STRONG>31</STRONG></A><DD>
I. T. Jolliffe,
``Principal component analysis'',
Springer, New York (1986).
<P>
<DT><A NAME="svd"><STRONG>32</STRONG></A><DD>
D. Broomhead and G. P. King,
<EM>Extracting qualitative dynamics from experimental data</EM>,
Physica D <B>20</B>, 217 (1986).
<P>
<DT><A NAME="numrec"><STRONG>33</STRONG></A><DD>
W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling,
``Numerical Recipes'', 2nd edn.,
Cambridge University Press, Cambridge (1992).
<P>
<DT><A NAME="Vautard"><STRONG>34</STRONG></A><DD> R. Vautard, P. Yiou, and M. Ghil,
<EM>Singular-spectrum analysis: a toolkit for short, noisy chaotic
signals</EM>,
Physica D <B>58</B>, 95 (1992).
<P>
<DT><A NAME="INO"><STRONG>35</STRONG></A><DD>
A. Varone, A. Politi, and M. Ciofini,
<EM>CO<IMG WIDTH=6 HEIGHT=11 ALIGN=MIDDLE ALT="tex2html_wrap_inline6701" SRC="img39.gif" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/chaospaper/img39.gif"> laser with feedback</EM>,
Phys. Rev. A <B>52</B>, 3176 (1995).
<P>
<DT><a name="hk"><A NAME="Hegger+"><STRONG>36</STRONG></A><DD>
R. Hegger and H. Kantz,
<EM><a href="../../../../../tppmsgs/msgs0.htm#28" tppabs="http://www.mpipks-dresden.mpg.de/publ/year96/9607002/9607002.ps.gz">Embedding of sequences of time intervals</a></EM>,
Europhys. Lett. <B>38</B>, 267 (1997).
<P>
<DT><A NAME="Ruelle"><STRONG>37</STRONG></A><DD>
J. P. Eckmann, S. Oliffson Kamphorst, and D. Ruelle,
<EM>Recurrence plots of dynamical systems</EM>,
Europhys. Lett. <B>4</B>, 973 (1987).
<P>
<DT><A NAME="Casdagli_recurr"><STRONG>38</STRONG></A><DD>
M. Casdagli,
<EM>Recurrence plots revisited</EM>,
Physica D <B>108</B>, 206 (1997).
<P>
<DT><A NAME="string"><STRONG>39</STRONG></A><DD>
N. B. Tufillaro, P. Wyckoff, R. Brown, T. Schreiber, and T. Molteno,
<EM>Topological time series analysis of a string experiment and its
synchronized model</EM>,
Phys. Rev. E <B>51</B>, 164 (1995).
<P>
<DT><A NAME="webber"><STRONG>40</STRONG></A><DD>
<a href="../../../../../tppmsgs/msgs0.htm#29" tppabs="http://homepages.luc.edu/~cwebber">http://homepages.luc.edu/~cwebber</a>
<P>
<DT><A NAME="stp"><STRONG>41</STRONG></A><DD>
A. Provenzale, L. A. Smith, R. Vio, and G. Murante,
<EM>Distinguishing between low-dimensional dynamics and randomness in
measured time series</EM>,
Physica D <B>58</B>, 31 (1992).
<P>
<DT><A NAME="TAR"><STRONG>42</STRONG></A><DD>
H. Tong,
``Threshold Models in Non-Linear Time Series Analysis'',
Lecture Notes in Statistics Vol. 21, Springer, New York (1983).
<P>
<DT><A NAME="Arkady"><STRONG>43</STRONG></A><DD>
A. Pikovsky,
<EM>Discrete-time dynamic noise filtering</EM>,
Sov. J. Commun. Technol. Electron. <B>31</B>, 81 (1986).
<P>
<DT><A NAME="sugimay"><STRONG>44</STRONG></A><DD>
G. Sugihara and R. May,
<EM>Nonlinear forecasting as a way of distinguishing chaos
from measurement errors in time series</EM>,
Nature <B>344</B>, 734 (1990); Reprinted in [<A HREF="citation.html#coping" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/chaospaper/citation.html#coping">9</A>].
<P>
<DT><A NAME="Eckmann"><STRONG>45</STRONG></A><DD>
J.-P. Eckmann, S. Oliffson Kamphorst, D. Ruelle, and S. Ciliberto,
<EM>Lyapunov exponents from a time series</EM>,
Phys. Rev. A <B>34</B>, 4971 (1986); Reprinted in [<A HREF="citation.html#coping" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/chaospaper/citation.html#coping">9</A>].
<P>
<DT><A NAME="fsid0"><STRONG>46</STRONG></A><DD>
J. D. Farmer and J. Sidorowich,
<EM>Predicting chaotic time series</EM>,
Phys. Rev. Lett. <B>59</B>, 845 (1987); Reprinted in [<A HREF="citation.html#coping" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/chaospaper/citation.html#coping">9</A>].
<P>
<DT><A NAME="auerbach"><STRONG>47</STRONG></A><DD>
D. Auerbach, P. Cvitanović, J.-P. Eckmann, G. Gunaratne, and I. Procaccia,
<EM>Exploring chaotic motion through periodic orbits</EM>,
Phys. Rev. Lett. <B>58</B>, 2387 (1987).
<P>
<DT><A NAME="biham"><STRONG>48</STRONG></A><DD>
O. Biham and W. Wenzel,
<EM>Characterization of unstable periodic orbits in chaotic attractors and
repellers</EM>,
Phys. Rev. Lett. <B>63</B>, 819 (1989).
<P>
<DT><A NAME="so"><STRONG>49</STRONG></A><DD>
P. So, E. Ott, S. J. Schiff, D. T. Kaplan, T. Sauer, and C. Grebogi,
<EM>Detecting unstable periodic orbits in chaotic experimental data</EM>,
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