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R R R R
T
i
0 2 3 4 51
1 2 3 4 5
t, sec
t, sec
˙˛` º
˙˛` ˇ˜¯˚
τ
0
S TP Q
(a)
(b)
2π
3%
2π ∆t ' 150
±5%
D
eff
10
−2
RR
RR
5%
RR
∆ = |hf
H
i − f
F
|/f
F
= 3% f
H
/f
F
∆
lim
t→∞
|mΦ
1
(t) − nΦ
2
(t)| < M = const,
m, n Φ
1,2
(t)
m = 7 n = 6
∆t ' 50 2π
∆t ' 100
m : n = 7 : 6
m = 1, n = 1
3 : 1, 5 : 2 8 : 3
x = y x y
x = y
x → y x → −y
x = y
x = −y
x
n+1
= f(x
n
) + γ(f(y
n
) − f(x
n
)),
y
n+1
= f(y
n
) + γ(f(x
n
) − f(y
n
)),
x
n
y
n
γ
x
n+1
= f(x
n
) = (a − 1)x
n
− ax
3
n
,
a
(γ = 0) 0 < a < 2
C
0
x = 0 a = 2 µ = a −1
+1 C
0
C
0
C
1
C
2
x
1
=
p
(a − 1)/a
x
2
= −
p
(a − 1)/a
a C
1
C
2
a = 3.3
a = 3.6
x ↔ y x ↔ −y
x = −y
x = y
x = −y
u =
x + y
2
,
v =
x − y
2
.
x
n+1
+ y
n+1
2
=
1
2
[f(x
n
) + f (y
n
)] ,
x
n+1
− y
n+1
2
=
1
2
[(1 − 2γ)(f(x
n
) − f(y
n
))] .
x =
x − y
2
+ ∆x, y =
y − x
2
+ ∆y,
∆x ∆y f(x)
f(y) (x − y)/2
f(x) = f
x −y
2
+ f
0
x − y
2
x −
x − y
2
,
f(y) = −f(−y) = −f
x − y
2
− f
0
x − y
2
−y −
x − y
2
.