Методы нелинейной динамики. Постнов Д.Э - 49 стр.

UptoLike

X
(k+1)
= X
(k)
A
k
· F
³
X
(k)
´
.
A
k
=
£
F
0
¡
X
(k)
¢¤
1
F
0
³
X
(k)
´
= J
³
X
(k)
´
=
f
1
x
1
...
f
n
x
1
... ... ...
f
1
x
n
...
f
n
x
n
X=X
(k)
.
X
(k+1)
= X
(k)
h
F
0
³
X
(k)
´i
1
F
³
X
(k)
´
,
F
0
³
X
(k)
´³
X
(k+1)
X
(k)
´
= F
³
X
(k)
´
.
F
0
³
X
(k)
´
P
(k)
= F
³
X
(k)
´
P
(k)
X
(k+1)
= X
(k)
+ P
(k)
.
F (X) = F
³
X
(k)
´
+ F
0
³
X
(k)
´³
X X
(k)
´
+
1
2!
F
00
³
X
(k)
´³
X X
(k)
´
2
+ ...,
F (X)
X
(0)