# Chaos and Time-Series Analysis

## Errata

• Page xx
• "hundred-thousandth" should be "ten-thousandth"*
• Page 2
• In line 16, "allowed scientists of solve" should be "allowed scientists to solve"
• 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 16
• Line 13, "extremely predictable motion" should be "extremely predictable rocket motion"
• Page 20
• In line 23, "latter half of the previous century" should be "latter half of the twentieth century"
• In the third line from the bottom, "the following the year" should be "the following year"
• 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 41
• In the ninth line from the bottom, "on the left" should be "on its left" and "on the right" should be "on its right"
• 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, "Porsch" should be "Posch"
• In line 7, "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 112
• In the first line, "For a shearless flow" should be "For a shearless map"
• Page 119
• In footnote 4, "an Arab mathematician" should be "a Persian mathematician"
• 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 187
• Item 6 should end with "perpendicular to the flow in the constant-energy surface."
• 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 227
• Near the middle of the page, "H > 0.5 then tend to" should be "H > 0.5 they tend to"
• Just below the above, "but in three dimensions it will never..." should be "but in three (or higher) dimensions it will never..."
• Page 230
• In the first line, "has a probability" should be "has a Gaussian probability distribution"
• Page 255
• The reference to Gencay and Dechert 1996 should be Dechert and Gencay 1996
• 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 262
• In line 7, "nearly equally" should be "nearly equal"
• Page 273
• At the end of 4 add "and is usually not an integer"
• 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 330
• Equation (13.5) should have an additional factor of 2/A on the right-hand side
• Page 368
• In the fourth line, "A2 + B2" should be "X2 + Y2"
• 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 395
• On line 15, "has integer values in the range" should be "is an even integer in the range"
• On line 21, "four allowed values of P corresponding to 1 < Delta E < 4" should be "two allowed values of P corresponding to Delta E = 2 and Delta E = 4"
• 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 436
• In A.5.14, "dz/dt = -Uxy + V" should be "dz/dt = Uxy + V"
• 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 459
• The Gencay and Dechert (1996) paper should be Dechert, W. D. and Gencay, R. (1996) The topological invariance of Lyapunov exponents in embedded dynamics. Physica D 90, 40-55 (and put in alphabetical order on page 456)
• 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 473
• "Porsch" should be "Posch"
• Page 480
• Publisher of Stewart and Golubitsky (1992) is Blackwell, Oxford*
• Page 481
• On second line from the bottom, "Comtes" should be "Comptes"
• Page 484
• "Winfee" should be "Winfree"*
• Page 495
• "Hopf, Heinz" should be "Hopf, Eberhard"
* 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 many of these errors.