Chaos and Time-Series Analysis
J. C. Sprott
Errata
- Page xx
- "hundred-thousandth" should be "ten-thousandth"*
- Page 3
- "the next eclipse of the Sun" should be "an eclipse of the Sun"*
- Page 5
- Line 4 should read "...competing nations, the love expressed in
romantic relationships, and countless others."
- Page 20
- In line 23, "latter half of the previous century" should be
"latter half of the twentieth century"
- Page 31
- Line 10 should read "Xn
for which Xn+1
> 1 can be calculated from AX(1
- X) = 1."*
- In line 13, "A > 1"
should
be "Xn+1
> 1"*
- Page 32
- In the third line from the bottom, "fixed point at X = 0.5"
should be "eventually fixed point at X = 0.5"
- Page 39
- In the fifth line from the bottom "alpha < 1" should be
"alpha < 1", and
in the next line "alpha >
1" should be "alpha > 1"
- In footnote 10, "Leibnitz" should be "Leibniz"*
- Page 47
- In footnote 1, "scientist and author" should be "priest and
scientist"*
- Page 58
- Five lines from the bottom, "v0
= 0" should be "x0
= 0"*
- Page 60
- Five lines from the bottom, "sin(wt)" should be "cos(wt)"*
- Page 62
- In line 6, "0 > b
<<
1" should be "0 < b
<< 1"*
- Page 75
- In footnote 4, "(own value)" should be "(proper value)"
- In footnote 4, "Prussian mathematician" should be "German
mathematician"*
- Page 78
- In the 11th line from bottom, "cos" should be "sin"*
- Page 85
- "Winfee" should be "Winfree"*
- Page 94
- "a = 2.107" should be "a = 2.017"*
- Page 96
- In line 6, "8.7.1" should be "8.8.1"*
- Page 97
- JD5 in Table 4.2 should be: x(dddot) = ax(dot) + bx(dot)2 - x2 - xx(ddot) with a = -1 and b = 3
- Page 100
- "place limits on the possible values" should be "calculate the
probability distribution of values"*
- Page 120
- Page 133
- "ratio of two random numbers" should be "ratio of two
independent and
identically
distributed random numbers"*
- Page 149
- In footnote 11, "who extended Cauchy's work" should be "whose
Riemannian
geometry was the foundation of general relativity"*
- Page 153
- Near the middle of the page, "intentionally chosen
parameters..." should be "intentionally or inadvertently chosen
parameters..."
- Page 163
- The two plots in the upper right of Fig. 7.2 are reversed*
- Page 164
- Footnote 2 should read "Eberhard Hopf (1902-1983) was an
Austrian
mathematician,
trained in Germany, who was on the MIT faculty before returning to
Germany
in 1936, where he remained during World War II, after which he returned
to the US in 1947, became a US citizen, and spent his remaining years
at
the University of Indiana."*
- Page 166
- The sentence that starts "Figure 7.5 shows f(X)
for three values of A ..."
should read "Figure 7.5 shows f(f(f(X))), where f(X)
is the logistic map given by Eq. (2.3), for three values of A ..."
- Page 167
- The third (bottom) value
in Fig. 7.5 should be "A =
3.8484" not "A = 3.8284"
- The caption of Fig. 7.6 should have "A = 3.8084" not "A = 3.8284"
- Page 170
- "persists over most of the range 2 < A < 2.271..., with a band of
chaos near A = 2.27, after
which the orbit becomes unbounded as in Fig.
7.8." should be "exists over the range 2 < A < 2.176398..., followed
by a period-7 window and a band of chaos near A = 2.27, after which the
orbit becomes unbounded at A
= 2.271012... as in Fig. 7.8."*
- In the ninth line from the bottom, "touches its basin of
attraction..." should be "touches its basin boundary..."
- Page 180
- In the caption of Fig. 7.20, "A
= 4.6035..." should be "A =
4.6033..."*
- Page 186
- Just below Eq. (8.6), "fi
= dxi/dt"
should be "fi = dqi/dt"
- Page 198
- In Fig. 8.11, the d-axis
should go from 10-2 to 103 and the t-axis should go from 1 to 107
- Page 207
- In Exercise 8.5, the term z2/2
should be w2/2
- Page 208
- In Exercise 8.14, "eqns (8.31) and (8.32)" should be "eqns
(8.33) and (8.34)"
- Page 219
- Equation (9.7) should read B = [12/N/(N^2-1)] SUM [ n
(xn-<x>) ]
- The sentence following eq (9.7) should read "The first and
second half of the detrended data then have small equal and opposite
means."
- Page 225
- Add a period after (1781-1840) in ref 14*
- Page 226
- In footnote 17, "motion of pollen grains..." should read
"motion of particles inside pollen grains..."
- Page 255
- At the bottom of the page, add the sentence: "Running time
backwards does not work at all for Lyapunov exponents derived from the
equations because the trajectory rapidly leaves the vicinity of the
attractor, which becomes a repellor."
- Page 259
- At the end of section 10.5.3, "as large at 5" should be "as
large as 5"
- Page 304
- At the end of line 11, "N
versus L" should be "N versus 1/L"
- Page 311
- In footnote 5, "Prussian physicist" should be "German
physicist"*
- Page 317
- Under item 2, "where is w
is..." should be "where w
is..."*
- Page 325
- In the column labeled "From" in Table 12.1,*
- A.1.5 should be A.1.7
- A.2.3 should be A.2.4
- A.2.4 should be A.2.5
- A.2.6 should be A.2.7
- A.2.7 should be A.2.8
- A.2.8 should be A.2.9
- Page 369
- The vertical scale on Fig. 14.13 should be -1 to 1*
- Page 391
- In the tenth line from the bottom, "farther from the truth"
should be "further from the truth"
- Page 402
- In sixth line from the bottom, "-N < n < 0" should be "0 < n < N"
- Page 411
- In footnote 21, "Czech mathematician" should be "Austrian
mathematician"*
- In footnote 21, "a bit paranoid" should be "seriously paranoid"
- Page 439
- The reference in A.6.2 should be "Gottlieb and Sprott (2001)"
- Page 440
- For A.6.4, the Lyapunov exponents should be 0.0920, 0, -0.0920
- Page 445
- On the top line, there should be a factor of 1/2 in front of
the square root
- Page 449
- Page numbers for Aks and Sprott (2003) should be 161--80*
- Page 466
- "Ledrappier, F. and Young, L. S." should be "Ledrappier, F. and
Young, L. -S."*
- Page 469
- Page numbers for May (1976) should be 459-67
- Page 480
- Publisher of Stewart and Golubitsky (1992) is Blackwell,
Oxford*
- Page 484
- "Winfee" should be "Winfree."*
* These changes were made in the fourth printing of
the book.
Thanks to Chris Woodward, Juergen Jost, Hans Gottlieb, and Del Marshall
for pointing
out several of
these
errors.
