ERRATA (as of March 17, 2019)
Imperfect Bifurcation in Structures and Materials —Engineering
Use of Group-Theoretic Bifurcation Theory, Second Edition,Springer, 2010by Kiyohiro Ikeda and Kazuo Murota
The following corrections should be made on the original book:• Page 20, Fig. 1.13: Should look

• Page 21, Fig. 1.14: Should look1• Page 47, (2.41): Should read(ξi⊤ F u0c + wη1 +N∑)
φ j (w, ef , v)η j , fc0 + ef , v = 0,i = 2, . . . , N.

j=2

• Page 51, two lines below (2.62): Should read, unique solution modulo η1 .
• Page 57, Footnote 13: Should read, When the condition of nondegeneracy(2.83) fails with “< 0,”• Page 70, just below (3.3): Should read, ef = f − fc0 .
• Page 82, the last displayed equation: Should read,{(F x,x )0 = 0 with ξ1 = (1, 0)⊤ ,bifurcation point,0⊤(Fy,y ) = 0 with ξ1 = (0, 1) ,limit point.
• Page 85, Table in Problem 3.1: Should read
ε −0.02 −0.015 −0.01 −0.005 −0.002 0.00
fc / fc0 0.75
0.78 0.83
0.88
0.93 1.00
1.11
1.07• Page 85, Answer in Problem 3.2: Should read, xc = 2−1/3 ε1/3 .
• Page 97, Eq. (4.33), “C” (in each of the three lines): Should read, “−C.”• Page 101, Eq. (4.37): Should read,
α1 + · · · + α5efc ∼ T
ε = −1.0577ε,ξ (∂F/∂ f )0c• Page 109, the first line of Eq. (5.3): Should read, “C(d) = C0 a” instead of“C(d) = −C0 a.”• Page 110, the first line of Eq. (5.8): Should read, “ã” instead of “−ã.”2• Page 115, (5.22): Should read, ϕK (ζ) = K(1 − Φζ (ζ))K−1 ϕζ (ζ).
• Page 161, The last line of the paragraph containing (7.21): Should read, Foreach g ∈ G, T µ (g) is an N µ × N µ unitary matrix.
|G|.

• Page 161, Footnote 6: Should read, The identity (7.20) implies that |RC (G)| ≤• Page 164, The last line of the paragraph containing (7.34): Should read, Incontrast, this is not the case with the cyclic group Cn for n ≥ 3: Ra (Cn ) , R(Cn )over R.
• Page 180, just after (7.93): Should read, Remark 7.13 below, where w denotes the solution to the bifurcation equation that corresponds to u.
• Page 195, the third equation in the first paragraph: Should read, T µ5 (c(π/n)).
• Page 201, Fig. 8.1: Should look

• Page 208, (8.29): Should read,∗,nΣ(ξ(αi )) = Σ(ξ(αi+bn )) = Σ(η(αi )) = Σ(η(αi+bn )) = Din/b,
ni = 1, . . . ,bn,(8.29)

where the integer i∗ (1 ≤ i∗ ≤ n/bn) is determined from i by (i∗ −1)bj ≡ i−1 mod bn,and∗

i,n,n• Page 208, Dn/bin two places below (8.29): Should read, Din/b.
nn• Page 211, Fig. 8.4(a): Should look3

• Page 230, the fourth displayed equation: Should read,e∂2 U(r, αk , ef ) ≈ A1010 ef + 3A2100 r2 + (−1)k−1 (bn − 1)A0,bn−1,00 rbn−22∂r
2(−1)k−1 A0200 r
if bn = 3,
k−123[A2100 + (−1) A0300 ]rif bn = 4,≈  3A r2if bn ≥ 5,2100• Page 245, below (8.121): Should read, where ri∗ and si∗ are constants.
• Page 256, two lines below (9.14): Should read, and τ̂(ψ) = τ̂(ψ; b) is anonlinear function in ψ and b = −A0300 /A2100 · · · .
• Page 263, the second line in subsubsection Case bn = 4: Should read, SinceC(d) is dependent on b = −A0300 /A2100 ,• Page 274, the 7th line from the bottom: Should read,Var[ed] = E[eded⊤ ] = E[V dd⊤ V ⊤ ] = V ·E[dd⊤ ]·V ⊤ = V ·Var[d]·V ⊤ = VWV ⊤ = I p .
• Page 278, the third displayed equation: Should read, E[ζ] = −1.91, · · · .
• Page 278, just below the displayed equation ζ = −τ̂(ψ)y: Should read, wherey = x1/3 and τ̂(ψ) = τ̂(ψ; b) with b = −A0300 /A2100 · · · .
• Page 305, Fig. 11.14: Should look4

• Page 389, the first line of (13.19): Should read, {(+, ν2 , ν3 )Dnh | ν2 , ν3 = +, −}• Page 391, the fourth displayed equation: Should read,{2bnif bn is odd and ν = −,ň =bnif bn is even or ν = +.
• Page 394, the first line: Should read,( )()w1w1
σv :7→.
w2−w2
Should read,• Page 420, from (14.34) to just below (14.35): Should read,±k =mñ − m̃n,d±l ≡ mp+m̃ p̃ (mod d),(14.34)

where the double-sign corresponds, or alternatively by {cos[2π(mξ−m̃ξ̃)], sin[2π(mξ− m̃ξ̃)]} with the wave numbers (m, m̃) satisfying±k =mñ + m̃n,d±l ≡ mp−m̃ p̃ (mod d),where the double-sign corresponds, and · · · .
• Page 448, the fourth displayed equation: Should read,±k =mñ − m̃n,d±l ≡ mp + m̃ p̃ (mod d),5(14.35)

where the double-sign corresponds, and · · · .
• Page 448, the fifth displayed equation: Should read,±k =mñ + m̃n,d±l ≡ mp − m̃ p̃ (mod d),where the double-sign corresponds, and · · · .
• Page 494, the 5th line: Should read, |w1 | = · · · .
• Page 506, [134] in the reference list: Should read, Marsden, J.E. and Ratiu,
T.S. instead of Ratiu, S.R.

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