Методы нелинейной динамики. Постнов Д.Э - 70 стр.

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d
k
x = 0.5 d
k
k
lim
k→∞
d
k
d
k+1
= α = 2.50280...
d
1
' (α)
d
k+1
d
1
= f(µ
1
, 0) ' lim
k→∞
(α)
k
f
2k
(µ
k+1
, 0).
f
2k
(µ
k+1
)
k
2
k
2
k1
f
k1
f
(2
1
)
f
(2
2
)
f
(2
3
)
µ
1
= 3.24 µ
2
= 3.50.. µ
3
= 3.55...
x = 0.5
n
x = 0 µ = 0
x
z = x x
ν = µ 3 x
= 1
1
µ
x
n+1
z
n+1
+ 1
1
ν + 3
,
µx
n
(1 x
n
) (ν + 3)(z
n
+ 1
1
ν + 3
)(1 z
n
1 +
1
ν + 3
)
f(ν, z
n
)
z
n+1
= (ν + 1)z
n
(ν + 3)z
2
n
.