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: 2006.
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____jwbx10{__Z_2_; _ ___
____jwr10݀쀧_UU쓀 . ___98_': _
___
____jwti10《Al쀬_瀏_݀__䀥8, _Ⓚ뀩ဥ瀠瀨ⓀⓀ, _Ⓚ1ǀ
쀀Ⓚ-뀥_8듀
‥. __Ѡj-_-&+8, _vZ-_+81+8_. _\", _`+81_`|1-_`, _Ѧ1+8+8+8+8, _UU1. __-T8ߦ{ͦ+8_E111741, _+-+8_X1+81-+8_8F. _h_1, _>__1+8, _g. __+8_! _1. _`^1755-_>1+8, _C, +8_+8: ߤC-ߕ_
___ ____cmmi10@_8__"V_ ___ ____cmbx10u_K`y_ ___ ____cmr10(r; _t)o: B_w__fe_ ҧ (֍ p@_8t_x+_8u(r; _t)_8 ! ", _ ___
____cmsy10_ru(r; t)__=_rp(r; _t): _U݀j_6u(r; _t)݀p(r; t)|1ǀ쓀
•8瀪r݀_/Ⓚt, _%8Tu(Tr-; _t)__ wr݀瀠Ⓚ1ǀ. _%U瀠_|81ǀဪ瀀8퀓†
, _܀_K瀠|1ǀ•造8Ⓚ퀓, _ -_1ǀ. __Ѡj_UU|+81. Ѷ__, _]_\_쓀䀮81ǀ쀧뀓瀥__p8, _-Ⓚ1ǀ쀦
, _-ᓀ뀢
+8_Pa, _Q_. _2I+8, _9K_2I, 1, ___J+8, . . _Q1_T+8. _: 1_-1827+81845. _Q_UU-+8: _'ߕ `10߹^O! __________cmsy7_4Z݀, __c倠Ⓚ〡L݀10_R. _O_1ǀ㓀
zg_I+(g_"'__10^3_i݀ာ/ဥ^2_|s)ဨ8__Md^2_|s-u=dzp߹^2_s__i-__u=L^2, _倮_نu_10^7_U݀1ǀ/ဥ. _[瀀8, _耮___ီ1ǀ铀___ဠ. _~_8急
瀨Ⓚ㎡ီ8__퀀. _[』Ⓚ怨쀀퀀-ီ_. _q4. Re_UU=__10^4__4___݀ဓ_ԯ瀨ဓ8쀤ဠⓀ耥, _4Ⓚ瀠ဓ_N|1ǀ8, _Oڀဨu(t), _Oڀ瀥8ဨ8, 8Ⓚ_"_ီ耥倠
瀥1ǀ. _܀ᓀ•_"_8, _U31, _R+_ . _T_+8-_+A+81. __e+8. _1_UU5. {-F}em: graph r5. bmpA _>. _q5. Re_UU=__10^6__4___݀_u8, _瀥뀢1ǀက逥-8
_"瀀哀
哀1ǀ瀥ᓀ_"‥瀥, _瀀ဥ耀__逥•8. _x뀓, _D_, _1-_R+8. _i1+8_1+81-1_+8. _Y+8+8_UU+81, +8, , . ____; _5__________________________________________G@_____s_T_
_f݀8_ ဓ倠
怨1ǀ瀥ᓀ_ ᓀ‥_
ᓀ뀀8,
__8_2㓀Ⓚ瀨쀣1+8, _9_q+8111, _+8_-1+8+8-. _n1_+8, __E-, _UU1+8-+8. cѶ__8
瀥1ǀ_G\Ⓚ1ǀⓀဓ퀢怨1ǀⓀ, _ހ뀢-_UU퀢怨뀬1ǀ_+_q_ _#_gx_yW(t)__=F(x); ݀8_Tx(-t)Ӧ|-nӦ-x߹^(1) -u-; _x߹^(2)-; : : : Ѡ; x߹^(+n)
-, _[1_-
__8; _D 怨_F݀1ǀⓀⓀⓀ쓀_ 倠8. _ǀ1ǀ
ဨ8듀8怨-8_$_T__+_xy_+_Tx-, _TTx-_UU_߹^1)_; : _+_w]div-q_m_#_Ƞx_e(t)__=div_1F=@_8F_c(i) ݱ=@x(i) [f z_c^1)___݀_? 8
瀥1ǀ‥1ǀ 怨F݀뀢1+8. _s+_V_1(), 1+8_UU1. ____; _6__________________________________________R_____s݀8_ဥ瀨. _O哀Ⓚ쓀쀪- __8Ⓚ瀨__a, _-1+8-_r5, _yn. _Lh+8_r5, _r51__+8, _=$1_&q+81, _/T; _6_-_ }+81: ___-_+1+81. _f^+8, _+8_UU. Ѷ__8_
Ⓚ〣1ǀ|〢•‥쀀1ǀ쓀‥-瀥_Ⓚ8瀠쀀哀ဓ. 2ဓ瀨, _Pf_Y 8瀀쓀瀠쀀哀ဓ+8_8_. _h_, +8_6V1_UU(. _. , 1944; M. Born, 1952_[_). Ѷ__逥_S1+8_S--_o1+8+8(E. _+L֠}'orenz, _1963_[_); +8__>-Al_KT_KT-߹^2)_t. ___1+8__, _UU1_UU+81_UU. Ѷ__뀩_\8Ⓚ〦ဓ1ǀ쀪哀怨-_E>哀: _销1ǀ쓀〣8-_g1(+8), _l*_u+8(D. _ _R-uel_le, _%F. T; akens, 1971). _? Ҁ8, _o, _uⓀ
_Ғ8(瀨ᓀ耥†怨)怨. _F1_=+81. _4j-_@-+8, _D_@-+81_-. _F+8+8_1. _\, _"-_r: +8(1); _e+8_ 1_ : _2-+8_lu1_lu_? 1. _+8+8_UU, . Ѷ___s〦쀥怨8-+8__~(! ). _BѠj, _AL11_զ+8, _-_+8_UU(S. _Newhouse, D. R-uel_le, F. T; akens, 1978_[_). ؉__ff_xs_ z_c^2)___݀_8瀨Ⓚ瀀哀(, _A-_L+8. _~_. ); _-u\"1. _#x_jf1+81\"-_M1, _"_+8-_@+8, __1, +8_UU1, +8. ____; _7__________________________________________i______s___݀1ǀ_㓀8㓀ဓ뀥, _T __1ǀ_, 瀢瀥•ီ8. _}ဨ䀨怨___
哀8, _ JⓀ뀥___Ⓚ
쀀厡1ǀ瀥ᓀ_瀠, _8逥 ; _P1ǀ듀‥-, ___+811. _P1-1__c+8_}, _u1+8+8__, _b-1_. _T+8, ___, 1_v+8, _! >+8_v(-+8_UU)1+8. ߤU|Ѷ____8
〤쓀倬•ီ8_{ဥ1ǀ뀩〬. _q: 1ǀ-_`0瀮8
(1ǀ뀢8倮뀥-1ǀ_, _-+8_\"-). _S~_____e8
瀥1ǀ‥1ǀ, _j_†1ǀ•㓀-_Հ+8-Al_4D. _-+8_-1-n-+8_UU(-n__>3)ئ+8. Ѷ____81ǀ•ီ+8. _E__, _-, +8-Al_e-__+}1+8, _-_+8_Z-tӦ1+8-t__T_c, 8_\_T_|. __j쓀1ǀ〤-逥_I8_݀. T1()_++81+8, _T-1_-L. _@+8+8_#A1, _-E+8. _a__#A+8_#A-_, _+8, _a-1_=_1, _+. . _-_-_Ӧ. _-_|+8+8_2+81-_2, _-, __+81_*D, . _*D. _+8+1ӦӬ_1: ݀‥瀨-
_ꀯ瀥1ǀီ8瀥•-_v+8-+8_, _, _1-Al_c. _o8_O*怨瀨‥쀀‥‥, _Pf_UU8瀪哀瀀〦
. Ѷ__81ǀ_]Ⓚ㓀Ⓚ瀨
瀥1ǀ倮-_UU8
Ⓚ瀥瀥_1݀+1: ___݀__n-•ီ8n___1__݀〓
Ⓚ-_$8n_x_1_$݀瀀哀
1ǀ-__瀥1ǀ8(–瀀哀Ⓚဠ‥쀀 ___ff_xs_ z_c^3)___݀뀢1ǀ_Հ•n-뀥〡\
8-1ǀ"; _Q_N8㓀Ⓚ쓱D_5 z_c^4)___݀_UU瀨ဓ퀓, ဓ쓀Ⓚ8怨. a__c^5)___݀瀥__Ux݀, __U〬8, __U-1_UU. _____10___ ____________________________________________s݀_UU8쓀__o. ϱx_jg+1__Ǔ=_q_[1_8+(R_L_R_1_݀+8-x__ #(=0Ӧ+8, __d -R_
>R_1
__|_8Ⓚ瀨. _f1Ⓚ〢, _, 倮㓀, _, Ⓚ-_\q8(2), _^8. . __1ǀ쓀耠(뎡)_w쓀뀥8瀪; ___UU+8, _UU. Ѷ__〪 __Ȁ8怨(2)(ᓀ〦瀀뀬_UU瀨x_j__݀R_L__8R_1_|s)8__m"x_jg+2__Ǔ=__x_+j_o+_82(-R_L_R_1_|s)x_j_2(1+ __)x3_፴j_|s: _z_(3)݀_Zဥ8Ⓚ瀪㓱x___h=__0: ݀R__vR_1_L-x__ k=_v0Ӧ. _z__UU+8? v_"x: (1); (2)_[__ _=____^_(2)_i. _, _n+8-_y|+8_y, _UU+8. Ѷ___U怨8Ⓚ_U\
瀥1ǀ"ᓀ-_y1: ___8瀪ဓ‥쀀哀x^(1)a݀x߹^(2)ئ. _e+8_--x߹^(1)____Vx^(2)>T݀㓀1ǀ1ǀ〤듀Ꭱ_UU2; Ⓚᓀ
瀀(R_L__8R_1_|s)^1=2 . ___8 _\3Ⓚ怨㓀뀢_+8. _1-_1, __+8(-R_)_T1+8; __T-R_1_|s-; _R_2-; : : : _1+8_M2, _)_t1+8, _|g-+81_1. _8], _T TR__ff_xs_ z_c^6)___݀䀨怨_耯R_SϷ__@_-R_1_U[+81_{-R_, _&E-x߹^2_; Z+j_x+1Ӧ-x_+jvͦ(+8_UU(2)). a__c߹^7)Ѷ__݀, _̝_1ǀ듀8쓀
, _̝2-Al. _t݀ 1ǀ__UU+8-Al_ئ. _____11___ ______________________________________І_____s݀1ǀ急_nⓀ瀠8쀀뀬ဢ• ဠ쀀
8 __
_UU(M. _J. F; eigenb}'aum, 1978_[_) RH___8_e瀥•1, _-__+8(-R_), _Lr_1+8_{; +8, _--_W_+8, _W1_UU+8. RHѶ__뀡_fހ1ǀ8‥•1ǀ㓀ဓ逨厡ီ. _m_I: 瀨8쀀瀠
‥-xӦ-_-$\1", __Wj-dѦUUf__(-x; _-)-=dxj_ m->1; _-$+8_++8. _{-+8, _1_-, _; ___-__+811, __p. __L_+8-+8_--f__(-x; _-)-; Ӧ. . __1(1): -x_+jg+1__r+81-x_+j_6-; Ӧ. +8_-|1; _1_UU -_`_x_jg+1__Ǔ=__f__(x_j_6; __)=1_8__x2_፴j_|s; _z_(5)_ٍ݀8_. R_|‥쀀뀩, _d1(-1_q+8)-R_߹^8)_-; . __[_1; _+1]_ģ݀8瀨등x; ݀_݀02ဥ‥怨8_UU(5)†⓱x݀‥. RH____L (5)+8|-x__ =1_>v__x^2__፺__. E8_Ⓚ瀪ⓀⓀ㓀Ⓚ瀨__V[>__1_|s; ݀8__1 Z|瀥_7_; ݀8_7㓀
Ⓚ___=_2_x____=_1; ݀倀ဠ厡_倮__1_0=_u-3-=4-: Ӧ+8|1-; ͦ_TV+8: _0H2-. _h1+8, _\L+8_[S1, __-+8; _)-_UU+8. N__ff_xs_ z_c^8)___݀瀥, _8_㓀
쀀1ǀ瀀倮Ⓚ1ǀ_됀+81. _4y1-+81__/倀
_(ⓀⓀⓀ㓀뀓_88뀬), _? 0瀀쓀뀓듀: _瀠_T듀ဥ瀥8(ᓀ1-x_+j___݀ဥ-1ǀ_U듀8瀪x_jg+1V). _ƀ1ǀဓ_Uဓ•
__逥8쓀〓
|ဓ瀪-_sY1ǀ퀪〬8逥 怨(†瀪_\1+8"_|-_UU, ). _____12_________________________________________敍_____s___݀8_UU(5), 瀨_X덍_றx_jg+2__Ǔ=__1_8__+2_2_|sx2_፴j_S__3x4_+j-; _z_(6)ͦ_G+1+8|+8-x_+j_6-: Ӧ __•_UU1ǀ8뀬_ǟ^9)_Ux_j_ķ! __x_j_6= _0_|s;
_0_C=1=(1_8__)݀8_UU㎦_x_jg+2__Ǔ=__1_8___1_|sx2_፴j; _/+8_UU(5)-Ӧ___1_C=__? (_)_2_2_|s(__8_1): _z_(7)݀8__㓀怨ᓀ1ǀ†뀬__〬‥__ _1_C=__1=(1____1_|s); _: : : ; ݀-瀨_UUဓ8쀀哀: rx_jg+2__ O\__________cmmi5m_=__1_8___m_x2_፴j_|s; __m _=? (__m_1__): _z_(8)__=݀뀥_Xa8瀪(8)•瀠ⓓ2^m_-怨_ǟ^10) . _zꀏ1ǀ쀪㓀ဥ
8_CⓀⓀ, _6(5), _61ǀ㓀瀨, _62^m_-怨_(m_^=1; _2-; 3-; : : : UO)+81-_+m d=_^__1 HT=3-=4-: ئ-1_K-__+m M+8-Ӧ_UU\__1_C=__-? (__2_|s)-; __2=-? (__3_|s)-; _: : : Ѡ; ___+m_1_'=? (__m_)-: ͦ, _+8_t_-m____! __1݀ဓ‥쀀쓀
哀瀨ဥ倮瀀㎦____1 SD|__1 _=_ѱ? (__1_x); ݀__1=_(1_+Pp P__fe_____E3_)=2_1; __37: ݀__瀀㓀㓀81ǀ†뀥1ǀ‥: _qL _+m
-J! _F z; Ӧ
_P)=1-=(1_8___1_x)____2; __8: ___݀_ʗ
, _V8㓀倮Ⓚ__m c2݀__1 C|݀-耨_UUm: ݀__m _=__? (__m+1_݀哀哓__1 ŷ__8__m
݀倮__6__1
ŷ__8__m+1_= _2_'_: _: : _|j
_+m_1__j_x(jxj_DQ_1; _x݀(5), (6)). _S/1ǀ-_Wဤ哀(8)Ⓚ䀠
瀥1ǀ뀢쓀쎦_UU急쀀哀퀪〬81ǀ哀 怨. _____13______________________________________________s݀8__=_F_? ^0_9(__1_x)=4_k+ߢPp +_ߢP__fe_____E3_____F_5; __73: ݀〣1ǀဓ, ___1 䐷__k__m
ޮ__F_`^m_~; ݀. . _VY瀥 ____m
_݀8__㓀㓀瀥1ǀ. _B]†㓀__8‥듀㓀ဓ‥쀀뀬1ǀ
瀥ဪ瀨ဓ: (9)_UUߧ--{}__+m+2_~__8__m+1_= ___݀__E1ǀ瀥ᓀᓀ8, _B〦〪뀢ᓀ, _B_݀-1ǀ_D 怨瀨ဓ8쀤ဠ, _ီ•Ⓚ•_D1_-+8, _+'+8+8_F_1-R_1_x-: Ӧ, _, _ئ1+8(9), (10)(-_UU-`), +8__+m_-: Ѷ__݀뀥_TH〦Ⓚ倮1ǀ哀-8__ۀ急ဠ: _Ҁ1ǀ瀀•怨, _듀8__倮Ⓚ__1 . ݀(9), (10); _V1ǀⓀ1ǀ-+8_g z: Ӧ, _2, _g. Ѡj_ -(1+8_ -_ --_-z+8(5))-_=](_$-_c)1ǀ†-8_UU1 z: , 1_j+8-x_+j_! =_0Ӧ(-). Ѷ__瀠8쀀, __nⓀ_3Ⓚ쀪瀥ﱑ_`_݀ z, __n쀀-_bN+8_bN1-_1+8-x_+jg+1_s; Ӧ, _T_ͦ-xӦ(+8)1-@__G_듀8쓀 怨‥x䍑_ b__T : ݀‥[_1; _1]݀ 怨g[ٓ(x)_Y݀Ⓚ퀪〬, __+8_Y-g(-x)__=1__1; _528x^2_(ဓ_Y瀨8쓀퀪-〬_1ǀ〬; _)8Ⓚ뀡ဓ㓀
(13)81ǀⓀ쀀_UUg[). a__g_^14)___݀8_㓀[_1; _1]; ݀ဓ뀡-_+8-x; Ӧ1-_&. _+8 _0l, _[Y+8_UU1+8+8-x__=0-: _____16__________________________________________Aߪ_____s݀8_UUီ뀩䀨瀥1ǀ‥. _____81ǀ_⇀ဥ퀓듓2^m+1_-怨, _倮-_ီ, _ր瀨哀x_m+1_(t)݀8t(怠厡1ǀ8__T_0_Ӏ逨-8_UU(14)倮Ⓚ怨ဓ逥㍐%T^15) ; : _Nߕ _#- v1-=
zv2߰_*݀IU0 Q_+8. _Z=1-_+_-x_+m+1_(-t)Ӧ-T_+m+1_=_: 2-T_+m_-: Ӧ1, -=__ff_xs_ z_g_^15)__7݀1ǀ쀪__7怨逥•Ⓚ哀8哀瀥___(8哓(__m_1__; ___m_)݀(__m; ___m+1_)); ݀
哀8(14)__+8, _-1(15)+8. +8_u-; Ӧ\1-"; _A_h+8. a__g_߹^16)Ѷ__݀1ǀ_P8Ⓚ怨, _Qဓ1ǀ•_d 怨__m_(t). _䀑. 〔〬_n. |_d , _g1983, . 141, . 343[LosAlamosScience, _UU1980, v. _q1, p. 4]. _____17__________________________________________[ҍ_____s݀_6vᓀ81ǀ瀠†1ǀkP! _m_; ݀-! _+m _|C_ѷ-s __l2`! _m_=2; _l_x=__1; 3; 5; : : : r___݀8_UUx_m+1_(t)݀? yx_m+1_(t)__= 1_K_w__fe__p (֍2T_mG__T___m_덍_FcZ_)0$ʓ[__m+1(t)_8___m+1_(t+T_m_)]ei_@Ll `t=Tdt%݀造8_yۀ〓쓀1ǀ㓀•__m+1_(t_Q9+T_m_)__=__m+1(t). _Y_yۀ〣8, 瀨___m_(t)݀8怨: _~__m+1_(t)_i___+m_(-t); _i+8_, _T11-kP! _+m QS. rѶ__쀀_ć瀨__m+1_(t)݀ီ, _ T
, 8쀪〡8_l2`! _m_=2|뀥瀠, _Ś1ǀ(m_я+1)-_. 1_+8+8-_=_ZI_m+1_= 됟 (֍ z_r2"q+ 됟 (֍
z_r4_֟^_ 됟 (֍ z_r2"q+ 됟 (֍
z_r4_֟^_C_I_m; "p6݀_UU瀠8쀀X__; cI_m_=I_m+1____10; __8: _u_(20)_____18__________________________________________oe_____s݀j_À, _! ހ+81, _! __ဓ_怨8, _橀耠Ⓚ†ဓ逥-怨_x, _܀逥Ⓚ怨, 瀨ဓ. _ܥ(M. _2J. F; eigenb}'aum, _1979_[_)_UU^17)__R_0__(_UU+81_UU). Ѷ___^
瀀
8(21)-x_+jg+1_-=_b&-x_+j_ (_H-x_+j_=__0). __vR_0 $٦+8_&+8_&-_+=, _+8\"1(+8_UU1|Al_ئ). Ѷ____8쀀
〓 哀쀧ဤ쓀-1ǀ厡瀥. _N 1ǀ_즀8쀀
哀Ⓚ
-
_=1ǀ. _Kj8_=耥 (21)-䀥怨쀀8. _NЀ_p-x_+j_#_, _UU-x_+jg+1_Ϭ__8x_j__݀dx=dt݀뀢t: _~_8dx=dt__=(R_L__8R_0_|s)+x2: ݀____! , _8倮倮㓀瀪1ǀx_1__s݀x_2_|s, __1ǀ_x38듀瀪x__5=0_x3݀, _뀡耨哀1ǀᎡ(R_L__8R_0_|s)^1=2 , _UU
(21). _qǀ? w0e__ߓ=__(R_L__8R_0_|s)_1=2_arctg, _6[x(R_R_0_|s)_1=2_˓] ___
܍u? rx___2__)u? rx___-1-? -; _: ͦ+8~___߷___(R_L__8R_0_|s)_1=2_˱; _~݀瀥_N_81ǀဨ; _U8쀀쓀哀〡뀢_UUᓀ8
瀀
. ____81ǀ急†뀬ᓀ
倮瀠, 8_UU. _____20__________________________________________H_____s_Ⓚ_T㓀 쎟_K_gBig_UUwhirlshave_UUlittlewhirlsthatfeedontheirveloG_city*, ___Rand_UUlittlewhirlshave_UUlesserwhirlsandsoontoviscosity__|_UUinthemolecularsense. _IRichar}'dson_L. _qN݀8 _h=-_t+8, _1-_[+8(Al-_r_); _^1ǀ쎡_s81ǀ㓀_s8_s_s_s. _; !Ѡj-+8_1, __i1-+8_; . _i. +8_V. __, _*#, -_UU+8. %+Ѷ___=
1ǀဪ
, _07瀠逥8Ⓚ-8_~; 㓀1ǀ耨
ᓀ
8瀪_U•. _rk†1ǀ11+8_U+8. _T_+8_u_1-u: ͦ+8_v[-v[-߹^0_T-=_-v_Ug__u݀㓀
1ǀဪ, _-+8_S, _T7-Al-Al___UU1. %+Ѷ__81ǀ_fu+81-1_. _lt+8+8_@p1, _- x__ff_xs_ z_g_^18)Ѷ__݀_•8쀀
, __, 1ǀ8듀က哀8ဠ怨ဪ-_____21__________________________________________a_____s݀_Vu=l__݀1ǀဪ
u(_u)l2`: ݀•8쀀, __瀠8Ⓚ__YⓀ8
듀, _EZ+8_Z$1_Z$. _511_Z$+8_UU1-u: _Ѷ__݀1ǀ8뀥_WA〓ဠ怨, _Wီ••1ǀ耨瀠†, _W瀠-_E+81+8. _Rl-_1+8, _-_V1+8. _v~1-_1+8-. _Ѷ___ʀဠ
듀8 _ʀဤ쓀瀥_倠8〓ဠ怨1ǀ
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_倠"8쀨: Kadano __L. P. _'ocaccia_&x\T*urbulence: _b_auniversalproblem. "PhysicsW*orld, 9(8)___35-40_UU(1996). _q[4]___ . _5. Al, _5. . ___\8
瀥1. Ѡj2", -Ѷ__8, _UU\Ⓚ", 1996. _____30__VI__; ______0_s_v6_ _? 8_': _ ___
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