ࡱ> ikh R`8bjbjSAFF0FqAbL L<BLB@NN!NNNNNMFMF!dNNNFNNNNLNNNNNNNNNZ b :  Ye'Yf[ ^~'`pef[!jWNel Ye͑p [[ЏLeHh 2022t^11gO Ye'Yf[ ^~'`pef[!jWNel Ye͑p[[(N N{y [[ )bzN1994t^11g0[[OXb Ye'Yf[pef[f[y NW@xtxvz:N;N[ ZWctN^(uv~T N^b:NN*Ne'}ߍS_N8h_pef[SU\MRl0S:NVl~Nm^TvsQf[ySU\ZPQ!.sv_>e'`[[:Nvh0 NASYt^eg [[\O:NN*Nf[/gNAm0NMbW{QTyf[xvzvs^S :N Yepef[f[yvSU\ZPQN͑!.s0 2022t^10g Ye'Yf[N}TN[[eNJ\[sP[bXTTf[/gYXTO2022.10-2027.09 :NO[[c~_SU\ Rc Ye'Yf[NAmpef[f[yv^ yrdkQ!kO2018t^5g,{N!kOv[[ЏLeHh0 N0[[{t [[e8^ЏL;N1u[[;NNO# [gS_[[;NNO0 [[͑f[/gNRcSf[/gYXTOc[0 [[L?e0NN0~9I{NROXbpef[yf[f[b{t0 N0f[/g;mR [[kt^Nf[bTT>NRr^:W!kf[/gbJTOTVEf[/gO0 [[kt^Nf[bTT>NRN!k[[bXTSRvf[/gt^O0 [[kt^r^ Tf[0R[[NNf[/gxvzTNAmT\O0 f[/g;mRDRSR 1 f[/gODR [[bXTur4Y>NRf[/gO (W~9w:v`Q N ST[[3u 1u[[;NNOnx[/f&TDRNSDR^0ky3uN, NǏ5NCQ0 2 f[/gNAmDR [[bXTSRf[/g;mRbN[ (W~9w:v`Q N ST[[3u 1u[[;NNOnx[/f&TDRNSDR^0ky3uN, NǏ3NCQ0 V0f[/gbgVYR 1 bgVYR ;NVYRV[Tw^ 0Y ~ybVYvbg[bN Sgq Ye'Yf[vvsQVYRhQ [[~NS_v~9VYR0hQ:N VYy~9hQNCQ V[6qyf[NI{VY0V[b/gSfNI{VYbV[yf[b/gۏekNI{VYyv6Ye0 Nwm^6qyf[0ybۏek0bb/gSfNI{VY 3Ye0 Nwm^6qyf[0ybۏek0bb/gSfNI{VY1 Ye'Yf[\O:N,{NVYUSMOvyvSNSv^VYR~9hQv30\O:N,{ Nb,{ NN NVYUSMOvyv SNS Nv^VYR~9hQv100VYR~9N1u[[~N{t ~9O(u cgqf[!h"Rĉ[gbL0 2 e0NWVYR ;NVYRhl g[[DRW[7hve0NWLaboratory of Mathematics for Nonlinear Science Fudan University )Q:NLMNS ^hl The author is a member of LMNS Fudan University W[7h l ghl[[DRvW NNVYR0f[/ge cf[b2011t^12g6R[vg RR:SVYR ;NVYRN0N:S0 TeQNSf[yvSU\ [ N(Wpef[R:Svg R cgq Ye'Yf[v^f[yg RR:SVYRNPN0N:S 0bXT\hl g[[DRW[7hve0NWcN~*,6:<>@FJLRTV^̼yg[O[D[D[Oh1hGCJaJh1h(CJaJo(h1hGCJaJo("h1hR$5CJOJQJaJo("h1h ,5CJOJQJaJo(h1h5CJOJQJaJ"h1h5CJOJQJaJo(ht05CJOJQJaJo(h1h ,5CJOJQJaJ"h1h5CJOJQJaJo(h1hR$5CJOJQJaJ"h1h(5CJOJQJaJo(,<V " V d  ( > $dha$gdS$ & Fdha$gd5H  & Fdhgdidhgdg  & Fdhgd=dhgd=gd:U$a$gdt0 WD`gd , <WD`<gdV      ( , D F d j l n r t      $ & , . 0 4 󬠬|󷬷qfqfh1hmUCJaJh1h=CJaJh1hjM:CJaJo(h1h/cLCJaJo(h1hmUCJaJo(h1h ,CJaJo(h1h ,CJaJh1h=CJaJo(h1hy=BCJaJo(h1h:UCJaJo(h1h7CJaJo(h1h(CJaJo(h1hR$CJaJo((4 6 P T \ h p r t x | ÷zl`THh1h*CJaJo(h1hJCJaJo(h1hy=BCJaJo(h1h(5CJaJo(h1h=5CJaJo(h1h=5CJaJh1hmUCJaJh1hmUCJaJo(h1hM;CJaJo(h1h5JCJaJo(h1hR$CJaJo(h1hu CJaJo(h1h.G}CJaJo(h1h(CJaJo(h1h=CJaJo(   " , . 2 8 > B F J N R T V b d n p ѹѹѹѮѮщ}qeqYh1h!CJaJo(h1hjM:CJaJo(h1hGCJaJo(h1h5H5CJaJh1h5H5CJaJo(h1hlCJaJo(h1hy=BCJaJh1hJCJaJh1h5HCJaJo(h1hXCJaJo(h1h5HCJaJh1h.G}CJaJo(h1h=CJaJh1h=CJaJo(    " & ( * , . 0 < > F ĬĔ}f}NfN7f,h1hGB*CJOJPJQJaJo(ph/h1hg5B*CJOJPJQJaJo(ph,h1hgB*CJOJPJQJaJo(ph,h1hSB*CJOJPJQJaJo(ph/h1hl5B*CJOJPJQJaJo(ph/h1hw |5B*CJOJPJQJaJo(ph/h1h 5B*CJOJPJQJaJo(phh1hgCJaJh1h5HCJaJo(h1h:CJaJo( 4 T \ ^ f j p һҤv^GGҤһҤ,h1hSB*CJOJPJQJaJo(ph/h1hg5B*CJOJPJQJaJo(ph,h1hfB*CJOJPJQJaJo(ph,h1hjM:B*CJOJPJQJaJo(ph,h1hgB*CJOJPJQJaJo(ph,h1hoB*CJOJPJQJaJo(ph,h1hy=BB*CJOJPJQJaJo(ph,h1hlB*CJOJPJQJaJo(php r x z | ~ "46zҽ饎Ҏ~n~n^n~~nNNn@h1hgCJOJQJo(h1hg5CJOJQJo(h1h@PCJOJQJaJo(h1hgCJOJQJaJo(h1hoCJOJQJaJo(,h1hSB*CJOJPJQJaJo(ph/h1hg5B*CJOJPJQJaJo(ph)h1h@PB*CJOJPJQJaJph,h1hgB*CJOJPJQJaJo(ph,h1h@PB*CJOJPJQJaJo(ph z "46zRF dh$IfgdIykd$$Ifl0F#s? t0644 laytV$dh$Ifa$gdIydhgdS $dha$gdS $dha$gd@Pz|~.2txոոոոըxxոdd'h1hgCJKHOJQJ^JaJo(h1hSCJOJQJaJo(h1hvsCJOJQJaJo(h1hT2CJOJQJaJo(h1h-.CJOJQJaJo(h1hoCJOJQJaJo(h1hw |CJOJQJh1hgCJOJQJaJo(h1hgCJOJQJo(h1hUB&CJOJQJ z~pd dh$IfgdIykd$$Ifl0F#s? t0644 laytV$dh$Ifa$gdUB&sd$dh$Ifa$gdIy dh$IfgdIykd$$Ifl0F#s? t0644 laytVH0J0P0R0wiU@@@$dh$7$8$G$H$Ifa$gdV0dh7$8$G$H$WD`0gdmU dh7$8$G$H$gdSdhgdSkd$$Ifl0F#s? t0644 laytV:>@FXbdfhjİ׉yjyZyJ:J:Jy:h1hy=BCJOJQJaJo(h1hDCJOJQJaJo(h1h%gCJOJQJaJo(h1h@PCJOJQJaJh1hgCJOJQJaJo('h1hgCJKHOJQJ^JaJo($h1hmUCJKHOJQJ^JaJ'h1hmUCJKHOJQJ^JaJo($h1he%'CJKHOJQJ^JaJ'h1he%'CJKHOJQJ^JaJo('h1h-.CJKHOJQJ^JaJo(0 0(0,0H0J0P0R0X0Z0`0j000000000001 1"1ϿϭϟqaQh1hG5CJOJQJaJh1h-.5CJOJQJaJh1hvsCJOJQJaJo(h1h-.CJOJQJo(h1hs"CJOJQJaJo(h1hs"CJOJQJo(h1h-.CJOJQJaJo(Uh1hmUCJOJQJaJo(h1hgCJOJQJaJo(h1hy=BCJOJQJaJo(h1hoCJOJQJaJo([[yfNX[ch09hnc[[~9O(u`Q ~9VYR ct^^ۏL0VYRhQ e N:S N:Sf[/gNW VEW TQHr>yQHr ~9hQNCQ  10.52 [Y*N\Ove0NW ~9VYR^ c1/N{0VYR~9N1u[[~N{t ~9O(u cgqf[!h"Rĉ[gbL0 N0ؚ~f[DRSR ؚ~f[^:Nؚ!hYe^byxb@bvxvzNXT NSbZSXTZSXTNXT0 ؚ~f[N,(Wt^RƖ-N~NT[[3u09hnc[[t^^~9O(u`Q (W~9EQv`Q N [[dƖ-N3uY t^Q_NSۏLS_eEQ3u0 3u[[ؚf[NHQkXQ3ufN ~_gKNTkXQ~bJT0T|^ۏNekߍ*vQbg f[(W[[DR NShvf[/gbg _{hl[[DRW[7hLaboratory of Mathematics for Nonlinear Science Fudan University )Q:NLMNS 0 SR N[[bXTkNkt^gYS3uNy 9hnc3u`Q [[;NNOeQ NXT TUS v^Tf[bZQ?eT-^OۏLb0[[^SeweQ NXT[cf[/gNAm0 VYT/n0S~n0o0W:Svf[DR^:N4NCQVQf[vDR^:N3NCQ0eg[[ve:NN*Ng SegbL FO/fNt^Q_{gbL[k %NezMR 0egVQؚf[ve9+OO[ NǏ1.5NCQ u;m%m4 cgqkNk)Y500CQvhQ~NS>ezMR 0 9hnc[[t^^~9`Q DRf[peϑ1u[[;NNOnx[0 DR^vSf\Oncf[!hbN[[~9vpeϑv^Sgqf[bf[N*Ng vDR^Ǐ[[;NNOnx[ v^cNf[bZQ?eT-^O[ǏT[e0 mQ0ЏLeHh~pef[yf[f[b2022t^11g22eZQ?eT-^OǏ SeHh^bk0 2022t^11g22e Ye'Yf[^~'`pef[!jWNelYe͑p[[ 2010t^9g6R[2018t^5g,{N!kO     R0X0Z0`0j00$Xdh$7$8$G$H$IfWD`Xa$gdV$dh$7$8$G$H$Ifa$gdV$hdh$7$8$G$H$IfWD`ha$gdV0000^I.$xdh$7$8$G$H$IfWD2`xa$gdo$dh$7$8$G$H$Ifa$gdVkd0$$Ifl\j BF# 3 0#644 laytV0000$dh$7$8$G$H$Ifa$gdo$Xdh$7$8$G$H$IfWD`Xa$gdV$xdh$7$8$G$H$IfWD2`xa$gd`b00 1:112^PPE1$ & F dh7$8$G$H$a$gdi $dha$gdw | dh7$8$G$H$gdSkd$$Ifl\j BF# 3 0#644 laytV"1$1(14181:1B1F1N1P111111111112222ʸxxiZJZJZJZJZZJZh1hoCJOJQJaJo(h1hoCJOJQJaJh1htCJOJQJaJh1htCJOJQJaJo(h1hCJOJQJaJo(h1hXCJOJQJaJo(h1hG5CJOJQJaJ"h1hl5CJOJQJaJo("h1ht5CJOJQJaJo("h1h5CJOJQJaJo("h1hG5CJOJQJaJo(2222V3X3333344.424P4V44455555 5(5*55˼8xhXXXh1h*CJOJQJaJo(h1hCJOJQJaJo(h1hoCJOJQJaJo(h1htCJOJQJaJo('h1h5lzCJKHOJQJ^JaJo(h1hmUCJOJQJaJo(h1h%CJOJQJaJ'h1h%CJKHOJQJ^JaJo(h1hlCJOJQJaJo(h1h%CJOJQJaJo(2X33l66:7778B8D8H8zidgd:$dhWD `a$gd$dhWD `a$gdt0$dhWD `a$gdt0 $dha$gdt0$dh7$8$G$H$a$gdZ,)$ & F dh7$8$G$H$a$gd1<$ & F dh7$8$G$H$a$gd$ & F dh7$8$G$H$a$gd & F dhgd% 5555555666j6l66687:7<7>7H7˻ۻ۫|m]K;h1h~dCJOJQJaJo("h1h~d5CJOJQJaJo(h1h~d5CJOJQJaJh1h1<CJOJQJaJh1h1<CJOJQJaJo(h1hCJOJQJaJh1hCJOJQJaJo(h1hCJOJQJaJo(h1h*CJOJQJaJo(h1h%CJOJQJaJo(h1htCJOJQJaJo('h1hTCJKHOJQJ^JaJo(H7J7N7R7V7Z7^7`7d7f7j7l77777777777777888@8ߥwhXh1h5CJOJQJo(h1hoCJOJQJaJht0CJOJQJaJo(h1h*CJOJQJaJ"h1h~d5CJOJQJaJo(h1h~dCJOJQJaJht0CJOJQJaJh1hdCJOJQJaJh1hlCJOJQJaJo(h1h~dCJOJQJaJo(h1hw |CJOJQJaJo(@8B8D8F8H8J8L8N8P8R8T8V8X8Z8\8^8`8h-jh-Uh1hCJOJQJo(h1h5CJOJQJH8J8N8P8T8V8Z8\8^8`8$dhWD `a$gdgd: :&P 182P:p(. A!"#$%S $$If!vh#vs#v? :V l t065s5? ytV$$If!vh#vs#v? :V l t065s5? ytV$$If!vh#vs#v? :V l t065s5? ytV$$If!vh#vs#v? :V l t065s5? ytV$$If!vh#v #v#v3#v :V l0#65 5535 ytV$$If!vh#v #v#v3#v :V l0#6,5 5535 ytVx2 0@P`p2( 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p8XV~ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@66666PJ_HmH nHsH tHJ`J (cke $1$a$ CJKH_HaJmH nHsH tH$A $ ؞k=W[SOBi@B nfhCݓvUA 6F͌n|QsAX\ >8O( b\'X77?ڐ!@5?2XY}XFKp GH%Vވ b׫|G_9Ѣ`(B-)( b"{G|07`]PEB_?1r!?S`m-ʥV_\ĵJNS.j4Cw\+ZxC筲/-xkP//z֯A)_BJP5f CFr]]*Q Yv)CeCP@$=9I!_vHB%(fV va ߒ602- "O9IdͿ Z}r'=ySZ%{W<wo~ omͩv{_8}:oq3]ac.`/& 1%@)+-Z ȁcۏ9T" X;adwuƝ^lnmM]\('PbKe#bc{lcwK 6qKzV6B$L\!ޖov{uF]n# ]L-7Bc".$C΄M\KHt)Z,Kf~APܜaߥFrIF.;1dFą84(twk>VϮšQw[Yۙ!®R#nq̎8R{ccާuX>IlcWbFv fNall \ᙠ8B|=V>LI}:^ DVSn<<s< /,ݔyoZ"-XETsbc~h0pd<F7qsGqǭتUtՒfn~i0> LDCY,XW#HGe lܸd|0duޑChϐPڑw>ufІE%=qvQ90`ǙȰR@x pf]6H:EuvVd^(gpL%Ste5@(ً0$$E$} Ns;{/,,+P-jYTk~" q0TPϢ>#̙V=ˀ<ݥvH[$tIhO-xj<4.<= mR+Q.5qͯ!e(C82Q#W.Dxҗ<}/SY.d0u.:i5ܣ$jYhkV\[򡑃A!K3Ɗtz >λZ`%N88zt"Hr8 ^So YsiZvwQ:uDM;YS.}jd{jSnuҮ{Q4iU5U̲0ks\7X\ 5i/Z77'd]u j1bXU͞ڽc3IU2S;緬G8:?g-, gs~unfC(MrT Jxi D=deCn PK! ѐ'theme/theme/_rels/themeManager.xml.relsM 0wooӺ&݈Э5 6?$Q ,.aic21h:qm@RN;d`o7gK(M&$R(.1r'JЊT8V"AȻHu}|$b{P8g/]QAsم(#L[PK-![Content_Types].xmlPK-!֧6 0_rels/.relsPK-!kytheme/theme/themeManager.xmlPK-!Rtheme/theme/theme1.xmlPK-! ѐ' theme/theme/_rels/themeManager.xml.relsPK] - ,P 4 p z"125H7@8`8 !"$%& zR00002H8`8  #'@ @ 0(  B S  ?H0(  /GHJMPRUYZ\i >BCT[\_}  #,bejpu~<@Y^w./@ABEJPno "$&(*,-13=?CVilu!  "%23MQ       ! " $ % ' ( * . */ST[\|}  #efpu <@Z^w "$&(*,-12=?GV23PQ    . /T\ =@[^x{-?R ! " $ % ' ( * . y{ .  oxMb[y ڗf]c)4 |4.^#|4&=(,|KFlzNьP*r<PGrь{ڗf ^`OJQJo( 8^8`OJQJo( ^`OJ QJ o(o  p^ `OJQJo(  @ ^ `OJQJo( x^x`OJQJo( H^H`OJ QJ o(o ^`OJQJo( ^`OJQJo($H\^H`\5CJOJQJ^JaJo(hH() \^`\hH) \^`\hH. 4\^4`\hH.  \^ `\hH) | \^| `\hH.  \^ `\hH. \^`\hH) h\^h`\hH.$\^`\5CJOJQJ^JaJo(hH() 0^`0o(0 \^`\hH. \^`\hH. 4\^4`\hH)  \^ `\hH. | \^| `\hH.  \^ `\hH) \^`\hH.$\^`\5CJOJQJ^JaJo(hH()H\^H`\)\^`\.\^`\.4\^4`\) \^ `\.| \^| `\. \^ `\)\^`\.\^`\OJQJo(hHl   ^` o(hH \^`\OJQJo(hHu\^`\OJQJo(hHl4\4^4`\OJQJo(hHn \ ^ `\OJQJo(hHu| \| ^| `\OJQJo(hHl \ ^ `\OJQJo(hHn\^`\OJQJo(hHu\^`\OJQJo(hHl   ^` o(hH \^`\OJQJo(hHu\^`\OJQJo(hHl4\4^4`\OJQJo(hHn \ ^ `\OJQJo(hHu| \| ^| `\OJQJo(hHl \ ^ `\OJQJo(hHn\^`\OJQJo(hHu$\^`\5CJOJQJ^JaJo(hH() H\^H`\hH) \^`\hH. \^`\hH. 4\^4`\hH)  \^ `\hH. | \^| `\hH.  \^ `\hH) \^`\hH.\^`\OJQJo(hH   ^` o(hH \^`\OJQJo(hHu\^`\OJQJo(hHl4\4^4`\OJQJo(hHn \ ^ `\OJQJo(hHu| \| ^| `\OJQJo(hHl \ ^ `\OJQJo(hHn\^`\OJQJo(hHu\^`\OJQJo(hHl (\(^(`\o(hH.0^`0o( p\p^p`\OJQJo(hHl \ ^ `\OJQJo(hHn \ ^ `\OJQJo(hHu\ \\ ^\ `\OJQJo(hHl\^`\OJQJo(hHn\^`\OJQJo(hHu\^`\OJQJo(hHlH\H^H`\OJQJo(hHn\^`\OJQJo(hHu\^`\OJQJo(hHl4\4^4`\OJQJo(hHn \ ^ `\OJQJo(hHu| \| ^| `\OJQJo(hHl \ ^ `\OJQJo(hHn\^`\OJQJo(hHu\^`\OJQJo(hHl (\(^(`\o(hH.0^`0o( p\p^p`\OJQJo(hHl \ ^ `\OJQJo(hHn \ ^ `\OJQJo(hHu\ \\ ^\ `\OJQJo(hHl\^`\OJQJo(hHn\^`\OJQJo(hHu$\^`\5CJOJQJ^JaJo(hH() t0^t`0o(0 \^`\hH. \^`\hH. 4\^4`\hH)  \^ `\hH. | \^| `\hH.  \^ `\hH) \^`\hH. zNPGrP)4 .^#|KF&=y ]cb{M p_        p_&4       p_         .%       p_         .%                        p_&4       '}u cvsY&`5HtoP/F"V` 1<A' v b;%UB&e%'7(J)Z,)7})v01 2T2we2^4Xw6 77B8K8jM:M;p`;z<g =@? '@^Ay=BSB%CE+bFkGZHmH5J6K/cLN~O@PkT:U4LWXjXY)Zh[M]X^J;aKqa^9bkc~dwd%gi\)klljnpbt5lz{w |?| *|.G}A~[~%W)X[y3zT[/^}M-G+efb;'b^'"/?gn:zA[=W_i G-'zio*X ,78yJdf^Q:-.TiCh d*=V6GeJ[g7R=AOS!Sft08(_X`bfVGmUlAD,s\+hs"Iy_oNc!R${? "q]Xyg ! @****- 0Unknown G.[x Times New Roman5^Symbol3. *Cx Arial;([SOSimSun;CMR8eckSO;= N[_GB23129,|8I{~ Light? |8DengXianI{~;^MWingdings?= .Cx Courier NewA$BCambria Math hNe_«{eGN\\A-!),.:;?]}    & 6"0000 0 0 00000 =@\]^([{  0 0 00000;[ir   3q@P ?(2! xxdM # Ye'Yf[ ^~'`pef[!jWNel Ye͑p[[ЏLRlIHh2010GMicrosoft Office User<         Oh+'0 <H h t  'Dѧѧģ뷽صʵа취ݰ2010G Normal.dotmMicrosoft Office User18Microsoft Office Word@T @j@g@bzh\ ՜.+,0 X`| 'fudan university    !"#$%&'(*+,-./023456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWYZ[\]^_abcdefgjRoot Entry F0}lData )1Table1LWordDocument