x 1 = X, x 2 = dX / dt.
.., .. : . // .: . . . .-. ., 1988. 386 .
(259)
, . . , , - , . . , , , , (. 1).
. , , (. 11.1). . . ( ).
. 11.1. (D T > 0)
, , ; , , . y q ( z) :
v , g , a , k , l , D (D > 0). ( ) , y y .
(1.1)
k . [8],
,
(1.4) |
(1.2) . Ra . Rc k = 1/√2
, , , . , , , - (1.1). , .
y q
|
|
1 2 , , X, Y, Z , . (1.5) (1.1) , , X, Y, Z. . , (1.1) .
.
s = v /k ,
(. 2).
X, Y, Z (1.5). X , Y , Z .
(1.6) , N = 3/2.
,
, (1.7) .
, , t → ∞. (, ), .
(. 11.2). b k 2 = 1/2 . . . (. ) r ≈ 24,74. r = 28 .
. , . , . .
, , . (1.1) X = Y = Z = 0
r > 0 (1.8) .
l < 0, . , . .
. 11.2. r = 28 [3] | . 11.3. | . 11.4. |
r > 1 . . rc = 1 .
r = 1 .
|
|
(1.10) |
. r = 1 . , . 11.3 11.4. (1.9) . , .
r > 1 (. 11.4) (1.10). . r l . . 11.5, .
. 11.5. r > 1
, . r ≈ 13,926 (. 11.6). .
r > 13,926 . r ≈ 24,74.
. . r > 24,74 , , (. 11.7). . . (. . 11.2). .
. 11.6. r ≈ 13,926 | . 11.7. |
, , - . . (, , ). .
, , . , , . , , , . , , , , , . , .
, . , , . . . . [10], (. 3).
1. [1] [2] . , . [3-6]. . [7].
|
|
2. . . .
3. , , , , , . . . , (1.6), , .
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