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This VI shows the simplest way to read this entire file, with the simplest error checking.>IUII /ђI(Q(Q(Q/р  A @ @@@ +++++++++++OOOO++OOOO++OOOO++++++++++++++++++++++++++++++++++++++++++ DTHPDB88 ~, @@@ type DBLRead 1 @deny write-onlyF6@P @!status @code@0source error outpF6@P @!status @code@0sourceerror inN>@deny read/writedeny write-only deny none deny mode (2)ZJ@ read/write read-only write-onlywrite-only (truncate) open mode (0)"@2 file path @!convert eol (F)@ type DBL$@@ type DBL @pos offset (0)4(@startendcurrentpos mode (0:2) @offset"@! line mode (F)@! cancelled @!exists4(@startendcurrentpos mode (0:1)@2path@0pattern&@0 default name:*   @!error?@code out@error code (no error:0)@0error source (" ")@0 source out6@P @!status @code@0source error out@0message@type of dialog (OK msg:1)@@P @!status @code@0sourceerror in (no error) @!error?@code out(@error code (no error:0)(@0error source (" ") @0 source out@0message.@type of dialog (OK msg:1)L@@P @!status @code@0sourceerror in (no error)ă@ existing filenew filenew or existing file existing dirnew dirnew or existing direxisting file (use LLBs)new file (use LLBs)new or existing file (use LLBs)select mode (2)@0prompt @2 start path@0Prompt*@select existing files@ bytes/DBL, @@@ type DBLRead 2@ylW((H@8llHH (D Hh 4HTpl,,,@@HtttH R[h*[h*Read 2H$n{n{R[rh[shRead 1HD$nZ{ln[{lTvvvwtype DBLH&z{T 7 7type DBLH" ; ;HDxCdqdqaDcpcpselect existing filesHDHCGTGTHDCTD骾type DBLcDR_ R_ Simple Error Handler.viHDB٥ڥUD՗ bytes/DBLRDFSFSPromptVDSU`SV` Close FileUDS`5S `5 Read FileODS`S`EOFUDRu_Rv_ Open FileWD2?+2?+ File DialogHDA)0*0[Dٝ%ڝ% deny write-onlyHD0A~fm~gmHDA}'V}(VYDmzbmzb open mode (0)HD1]d^dMD^e_eyHD#QtRtHD& 00&FPHPMy Read Binary File.vi HFPHPT8 @ @ G4|;x  l < $P |(  $ DXL 2I'h7~EXcG쳳D#Y v:<D/" HR Z)DU t4 F Zi+Й4  r m|ԙHRZF) X x<$Dl4 F Zqi8t4  r mY|mr@P rB4fHqAp 2 tHVbqtHVbqtHVbq(<4 J uu0t|?p 2 0fHtVcpfHtVcpfHtVcp0 w iUqdo0 W fFt0 s mu%¦0 U iq)do@PCu\V̖p : 0jvcpjvcpjvcp4 2 yҨr0  udop : jvbqjvbqjvbqL : y0zu0z/{.|-}0W@P rB4f݂A0 w idop 2 t݂bqt݂뼼bqt݂떖bq0 W fۂ p 2 0ftcpft뼼cpft떖cp0 U i)Ddo4 J t  8̙0 s m %@¦4 2 t  <0  t  @do@ PC @N8p : t  bq bq bqp : t 0 cp cp cp0 tM$TL : t  0zu0z/{.|-}<     H read/write read-only write-onlywrite-only (truncate) open mode (0)fBDHPMy Read Binary File.viLVINSimple Error Handler.vi\PTH0E4 BDHP#8E,E,E34 / 4$a   , BB0Ct0 = <;x4 /L$au{, (`04 0 aui}ey   xP4 0 iuq}my ( 42p4 0| quy}uy  H4 0 yu}}y  4 0L a}q ` `4 0aqi   D4 0qy 0 4 /$Xa'@   tD|d4"#$4 0P y'}#   P@4 0P`qy'u# t P,t4 0Piq'm#  P4 0P0ai'e#  D P 4 0Pqy  Ppd44 0Paqi  P4 0Phqy | P4 4 /#xaTt} 8  p4 0$,qdtyl 8 (4 0+adqtil  X4 0$qTdy\   @4 0 \#aTqdi\  p  (  84  h4 / $a,  h 8 4 0 v΁{֭  44 0 lvq֭   4 0 $alf֭  8  4 0 y}ƭ    X4 0 lqyuƭ4  (/2. 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Run the Read Binary File example to read the file.: %U>%@I%UUI%@@I%@J@I%@+++++++++++OOOO++OOOO++OOOO++++++++++++++++++++++++++++++++++++++++++LDTHPD)88DK~d.@@ @ NumericWrite 1 @ Numericp4(@startendcurrentpos mode (0:2) @pos offset (0)F6@P @!status @code@0sourceerror in@! header (F)&@ @ Numeric @!convert eol (F)! @deny write-only"@2 file path@0groupN>@deny read/writedeny write-only deny none deny mode (2)@ permissions"@! overwrite (F)F6@P @!status @code@0source error out @offset@2pathL@@P @!status @code@0sourceerror in (no error).@type of dialog (OK msg:1)@0message @0 source out(@0error source (" ")(@error code (no error:0)@code out @!error?:*   @!error?@code out@error code (no error:0)@0error source (" ")@0 source out6@P @!status @code@0source error out@0message@type of dialog (OK msg:1)@@P @!status @code@0sourceerror in (no error).@@ @ NumericWrite 240Dx0<LLl0l00@@@l0@Ll888 UDRH_pRI_p file pathHD)eUreVSpqWrite 1H|"XjYjS""NumericH!(5(5SWrite 2H%޺ߺS$,$,NumericH$* 75* 75VD@ M;@M; Close FileYD>~?~ overwrite (F)cD@KM@LMSimple Error Handler.viVD@M@M Write FileTD@M@MNew FileHDH(ڐې[Dq~ q~ deny write-onlyHDh)<]I<^I HDd"HD$&FPHPMy Write Binary File.vi FPHP8(XLh27~t7X@ $(쳳))H <D/"<[QGwx| (@tD4 FP QG`q\s0 7P dKsS޳4 2P dTsLs0 P `Gwdo0t"PLp 2P+  fLpR dzfLpR fLpR 4O PS `q  D`q쳳`qɳ`qɳ`qɳ`qɳHRȕDVx( (D$4 F oș4  r Wk@P rB4FoXA0 w Sodo|lp 2 FTbqFTbqFTbq0 W Drp 2 0FTcpFTcpFTcp0 U oVdo0tt0 s sR¦@P"s:h$( ( 4 J( ~#0 ( #~:do4 2( '6p 2( 0"s.cp"s.cp"s.cpp 2( .s:bq.s:bq.s:bqL :( '60zu0z/{.|-}HR8X> . <   $ H < h 4 F T lt4  r H ݻ\t@ P r TB4 /A0 w H ٿdo |p 2 H bqڼbqږbq0 W T (  4 < p 2 H 0̳cp̳ڼcp̳ږcp0 U T X>do4 J  %-xt0 s T T:¦4 2 )86s0  %<:do@ P T$<: l0Pp 2  0<bq0<bq0<bq 8p 2  0$0cp$0cp$0cp0 t 1 T 8L :  )80zu0z/{.|-}L  8    fBDHPMy Write Binary File.viLVINSimple Error Handler.vi PTH0! 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TD+,)B;P4*BCH  Cpp+4*@H 4*@@IP <D(C-8, +C-4/*D#&E E,E E, D, EL4 D+E440DDF&40DDC&+srUrrqq40++Hh40++4Gh40+4HIh, p-+  0;)(Juq~yy0;)) Kua}qyi,)+DB,88>TCyiy8pD(yyy4/Jy<JKJK40II1<40IJ0< I)hJ4J,,*`&IJ < I&xJh5<I0,*`&& <8'$K (   й  й  й й TahomaTahomaTahoma0SymbolRSRC LVINLBVWO |Save 44RSIDLVSR,BDPW@LIviTCPTMhDSTM|DFDSLIdsVICDversDLDRFPTDCPMpICONicl80DTHPDTRecXLIfpFPHPLIbdBDHPHISTFTAB;X;P 5t;,55t485 5\5D5h50P5@5Ĉ5Ș5#L5#04#5$85$6$6%8H4 %6 %5 &0L6 &|p6 &@6'6'h6'd6(6(L|6(6(6)@6)6)6*$ 7*p7*6+07+h7+46,X6,@(6;5<H7T7$7Logistic Map Subroutine.viLL @@@xn1Values@ Total Points@ m @ Scale++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++99ݽwp1 p1p0@%"Logistic Map Lyapnov Subroutine.vi Logistic Map Lyapunov Scan.vi&#Logistic Map Lyapunov Divergence.vi%"Chaotic Pendulum Winding Number.viVW *먫*j羾뻯着뫪ꫢ)+**:,1?00000003<833A34<3;33;;3;;33333333;3;3;33333;3323;333333333 ?qxy~{??<x>ϳq=1g?<>?<?|{8\8|x??<?={8|菀>胀>̈Ȉ̌̌D̈ @t ?txtĠ@H|玌 H|ħ|ࠊ玌 |犏  H|D  | H x<wp  ÈȈ̈,̂΢~,h(,,Ȉ, ˆ̌bq,,,, ̈̌bq,Σ ̢̢.̂b.̌bq̂΀ Ìb.΢~,,,̂Ȉ 8̈̈,̂΢~, ,, <  x<w pΈ,̌Ȉ€  HH ʌȀ ̌ Ȟ (̈̈H ̌L ̈L΢~,o.,戨̈Ȟ ̀B~̈H̀  Ȉ ̀ Έ, ̈ H/ ̌H ̈ H(̈ (̈̈̈̀ (̈HȈ̎ ČȈȈ( (̌΢~Ȟ€ ̂o ̌̌€  ⪏.,興̌  ꂰ Ȉ̌̌̌Ȉ ̌ƌ`̌̌Ȉ̀ ̀ ̈ Ȉ̈,ᇈ Ȟ Ḧ̀ ̌Ȉ ̌ ̈ho., Ȉ . Ȍ ̀Ȉ(.̀ȈȈ̈̈Ȍ̌Ȉ̌Č̈̈̈̌̌̈(. € ̌ ,̂o ΢~H,̌ H ̀   ̌ ( 8, ( N8Ȉ̈.̈̈̈̈,ᇈ ̌Ȉ( 8(̠*̌̈Ȉ ̌ .Ȉ̌Ȉ̌  ,ᇈ̂ob~Ȟ̌ ̈H̎̈̈̀̌̌ (̈,̌ČȈ(̈̌̌̈ ̌̈̈ ,,ᇈ̌b~,Č̈̈̌ ̈,(*舠Ȉ̈̈̌ ̈̈ `Ḧ̈ Ȟ  ̀o.̀  Ȉ̌̌̌Ȉ ̌` `  * *,̂ǒ   ̠*ȈȌ̌̌Ȍh Œ` ` *  ̌̌̈H (/̌̌̌Ȉ,̈Ȉ (̈̌̈̌̌ /,Ḧ⨂.  ਂ`. H, Ȉ̌̌Œ` ̌ *ꨊ𨨎*`(΢~̀ 訂ȌḦ̌ ̌̌̌,̌Č̈̀ ̀ (/Ȉ̈̈(̈Ȍ̈Œ` /x ̀̌ (̈' ̈ ̀̈ (* ਂ `̀( (Ȉ,ᇈb~,̂Č̈̈̀ `Ȍ*/ȈȌȌ(̌̌ Ȉ(* *(/Ȍ(̌ ̀̌̈̀ / 3  h(*̀ /,Ȉ̀̌̌B~ ̈ ̀*𨂋 hhhX(?Ȱ pxx|||||||||||||||||||||||||RSRC LVINLBVW D <@ÏrWIDQ ُ B~MC7_b I()2LVIN"Logistic Map Lyapnov Subroutine.viVV8  @ Lyapunov@@@ xn1Values@ Total Points@ mZZPD c$ c P   cNP"@P@flg@oRt@eofudfP mp dfdP txdP oldP ext P cZP"@P@flg@oRt@eofudfP Total PointspdfdPtxdPoldPext8 P@@@@ xn1 P   cP"@P@flg@oRt@eofudfP@@ xn1Valuesx@ dfdP@ txdP@ oldP@ ext P   cVP"@P@flg@oRt@eofudfP Lyapunovx dfdP txdP oldP ext` xn1 ` x` xV P$@P@0P` y` yh t( ` Total Points c cD@@ t @ m@ Total Points@ c @ Total Points c@ xn1@ m c@ xn1@ xn1@ m@ xn1! c@@ t@ t ! c ch c c c c c c   c c c( cP4*h^ @33@B@?'?????@6$08N @ @@@ @ @ HP`0(( @ J@DR@ X`$<`@ V`@ \<xh2VIDS"Logistic Map Lyapnov Subroutine.vit{i386icodeIhE{$iE`ETPUEd$==r Ð#Ӏ}#tuEPXC4{8tVW_^C,{0tPR4ZXC$} aE(E!E"ƅƅ$ɍ<HHƅ8thhUEPƅt݅݅ݝƅtfxBƅx݅݅݅ݝƅxfxFElxVW_^9} ƅhfx6ƅlDžy Dž>t?9t$QRRVhh d$ZY=6t 6OɍHHH HHHƅ|ƅ|VW_^VW_^VW_^fxJƅ݅݅݅ݝƅfxNƅ݅ݝƅfxRƅ݅ݝƅfxV+ƅ݅ݝƅfxZ4ƅ݅݅ݝƅfx^;ƅ݅݅ݝƅfxbBƅ݅݅݅ݝƅfxfAElxVW_^VW_^VW_^9} ƅlfx:Elx~QRhhh+d$ZY=VW_^PRZXƅ@}(u ƅ hhUEP8d$ =fxƅDۅƅD}(u ƅhhUEP8d$ fxo}#t}"uH}!v}/uvQRPED$rd$ZY=m=t p h搐ÐE{ iE`ETPUEd$=t=t=t=tE{ E{‰ppVLFX@'PUEd$=uÐT =iT %iT iT %iiT iOiÐx&iÐx&Z2iÐx&uHiÐx&q_pjip @'PUEd$=uÐT) iTs i^T i$T!  3iTR  miT  ivT  i4nxL   * d V& %  , B _ CODEIh(6.0rc5Oldest compatible LabVIEW.(/@)``pZPPFP@ m@ Total Points@@@ xn1Values@ Lyapunov 99ݽwp1 p1p0@++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++DTHPD()88~@ m@ xn1 @ x*@@@ xn1Values"@ Total Points@ !@@ t@ y@ t@ Lyapunov_$4HHpp$$444$4$4$$$$$$pp$$$$$$$$$$$$p$$p MDY'f.Y(f.mH$l+yWl,yWH$.Z/ZXD*c+c Total PointsRvvValuesHxI쉝Ozzxn1H#썽鍾TD׺LyapunovH`IͫͬHD"\i\iHD$r҉s҉ODwŠxŠxn1HD$++HD|$_`HD,Pk]Pl]HD<.óڦijMDԣۖգxMDxHDh(HD(jwjwHD&MD ySE   False HD(wwMDgtgtyMDZgZgtHD$J E-u F-uQD1-2*yHDd$-:-:HDI@M@MXD0=0= Total PointsQD/+<D/,<Dln(m)2FPHP"Logistic Map Lyapnov Subroutine.viFPHPD J8~ܐI# ()J, by7< XLP|247@PX~\|8(HX4 F4 X&g/0 4 g&~\do4  24 k*zXp 64 0fr'cpfr'cpfr'cp0t46p 24 r~'bqr~'bqr~'bqL :4 k*z00zu0z/{.|-}|4  2 -[@Pd,@(T(4 F )d0  )_dop 6 0*cp*cp*cpp 2 *bq*bq*bqL : -30zu0z/{.|-}0$HR Du tD  d 4$$d D4 F0 u4  r$ @P r0B4xA0 W0 0 s0 ¦p 2$ bqbqbq0 w$ dop 2$ 0cpcpcp( $ X4 J t y| 0 U0 do@P0 X2p : t 0cpcpcp4 2 t 0  t dop : t bqbqbqL : t 0zu0z/{.|-}0  00N |@ @ PC L(  T ( $4 F  0  Ȧdo4  2 ̪p :  0ǛӧcpǛӧcpǛӧcp0  tM p :  ӛߧbqӛߧbqӛߧbqL :  ̪۰0zu0z/{.|-}l    D    ,  D ,  D 2BDHP"Logistic Map Lyapnov Subroutine.vict@BDHPDH*8clclcs ~ܐI^I,I$H*qoqo4,  ^^`^0 ^40 @ 8jzrh4 B8[j @p 4  @ PxpԋD, t(0 m&,<4 , J<p00 $QaY t0 R $xT @$t8 ( l 8 $ 4 'ŔѤˠ @ 4    $ 8 @84 " nwr,   p@ "$- |T XT *PNO  |x 4 $,(   @-T-4  2 qӊ4 J vËL : lr0z0z/{.|-}0 3 pԋ @*xX,*J4* X0@* ,<4$4 B, @xxX0&N^VTX}ˠl4*  t0@#d D-؛^~n P4 B ^ @ (  @  4*Q QT *JhNOl | F @ ( 8( ( t 0& ( N^V   4' (    @ @ @ ( @  @ (-T H- (  " H-4" ( nwr , ([[d\L0 J @  0$ (< ,XlTp@P Ni_@4  2 Oj^|,*(R@P@D0 3L 4/ P!Ah  "   @P)l9,))`44)*$L : Pe\k0z0z/{.|-}0 3 Ni_< @*x <<X4*\"4/Xh4 CP )F!tt   400#h p40D"hlD  tDDJJ|l  @ (- ,  @$@pH 4  2L ´4 ,$| LV H  @ A?  40!h x,#@* 40 %'1,hL :L 0z0z/{.|-}4 JL Ӥ|,??4  p\BB40 p'1<6h40$'1,h4 DD<l 4,L` @ @@ 0mL <LD @ 0m` ,<4$0m ,<4, \\ @  @,pD??? @, D \ 6ˠ6<l hgdp,D@P @, t\,h<H4 J d0 3 p64  2 00m,wp&r&r6L : 0z0z/{.|-}0m,tgwo @, @ 0m,,(gwo4 !` !0m,gwo4 FF 4 I$ (l4 >Y  4"`  ( )d4 @V "H ,8( (W-93!?( @ (N!J4O$NX @PK|+<@X0 3"H +<xVzV4]_ @P3@hy$D$$,0x$99\8-28:%d$ua~-@=$$ @$H:=$ @$H:>+4  2# ix8X,PQWP+h+,($b,% aaDa4%dab  0@P/u/>4/%d&lڹh &&<,;0&L0X&L/4%d&<  ;&L/60X4/'?On4/%d'j"B+2( +2(22211243$3l!4%d(d8d! 524%d4=t  rUr*r4  2, 0 3, 4 J,  ,:,@ @4)*$0%d_|* (0*Q(,% K*tP< B*D+1 B*+1*+ +H @@% '+1%d*0.% +,2QYU 'P:++40'P'=l2?y8 B*D:.H,<$1% P 4  B*D%,80-% ,3nQwZrU0X B*-T,8,d,- @@%  ,8, T>4*-$0 9 B*-.H-,-- @@% #d.H-4*.,C -0-% -40 3% u4  2% v0-% A^/834 J% fu L :% w0z0z/{.|-},*D&?%H @*D0$//,/ ./@.x &(<`;4%d'7  &0$D 4%d7LB 4/%d;l#&;;;; ;&;; ;%;;40;;DF&40;;XC&40&&Hh40&%Gh40&,Ih&p(+  0;$H#Juq~yy0;$H#Kua}qyi:yiy8 (D?AOpPx4' (V-93!BhA4/ (U!ui ?xF@Bh ?xA8HBh ?x Hl 0@FP 8.D>d6T@P?4 B@ D.vHK"K\Bh40?xpQepjiJI B*DU$O@A4 YP # B*Dap.8AlAOA B*N.8 B0A8DBh4PQd8 ?\ !E B0 @DBh:yyyMH@ }}Ĭ-0B0AN !0B0@O 4 6BB0A 4/ E>gEIEIJ EjMHMhMHMhM LFPM8 LAMPxM40LM[,.A963j L"N$840LMY6$A.;)j40LM\,$6.1)j\"1)33)4*NO !A @@% ".8OM0-% ? _BKF B* O@OpN33< NK-x-T  @@% AO@Px,+H--OPx,,.H.O@PxMh Op< + X<,K\-AOppA;)F;F 4V4VFF,tT|pFP6T63@PT>OS/@,T ST@TT4  2SX ?N4 JSX />L! :SX @L0z0z/{.|-}0! 3SX >O,!*DS0SX` !@*DU$TT!TA4!%dUUX !U$FF![D[!H83..H!!,334!/ Wl!/!W!X !WX 4!0WWD.!/4!0WWX-!/ !WXHWBh !W\WBh!WJ4! X,X &![D![!XH))!A8`! QrQqr ` Q4!/ Vn!%4!0ZX|+~%4!0ZX,t~y% !Z\ZBh*먫*ﯨﯨ;ꨣ1080000<8334<333;;;;;;3? ?=<Ϗ=?q?{?x<8?1c&""?cffffਪ?? x 胀~̈Ġtt8tĠt `8H ħH|  ħ? x<w p π 08̈,̂΢~,,,bq,b.0# 0(̈,̂Ȉ, 8̈$LN~$h($$ ÌȈ̈,̂΢~, ,, < h, xȬ p H̎Ȉ (Ȉ̈( Ȉ̪ʈ, ̈̎ʌȀȈ ̻ˈ, ψ,̈ ̌ ̠// ̀Όp̈H ̈̀Č  h  *(̈̌ ̀̌  ̌ ̌̌ (̈   /(̬B~ ̀ hhhX(?Ⱦ pxx|||||||@|||||||||RSRC LVINLBVW5` 5`D <ns?zGLW& ُ B~d&@K`X~g*LVINLogistic map iterate sub.vi66   @ xn+1@ xn@ Map order@ mLLP c$ c P    P c VP"@P@flg@oRt@eofudfP Map orderpdfdPtxdPoldPext P   cPP"@P@flg@oRt@eofudfP xnx dfdP txdP oldP ext P   cRP"@P@flg@oRt@eofudf P xn+1x dfdP txdP oldP ext c NP"@P@flg@oRt@eofudfP mx dfdP txdP oldP ext c< @ xn @ m c@ xn1@ Map order c  c c, c@4Dh^Xdht@d?H@ 0$t&$(@@$@(@$@(@$@0*VIDSLogistic map iterate sub.vii386xlcodeDtE{xlE`ETPUEd$==QÐ#Ӏ}#tdEPXC,@C$${(tVW$(_^C4(} yE(E!E"ƅƅƅɍLƅHthhUEPø08?>>޳|x<8|~zy~q<臀?菀胀̌̌̈ĠHtt8HtĠtĠtxH| `8H ħH| H ħ   xȬ pp  p Ȉ È̌bq,,b...,΢~,3 ˆ̌.,h(. ÈĽNbq$$Lb.@L.L. 8̈̌bq,,b.̀.. 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Cond.99ݽwp1 p1p0@++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DTHPD\88 | ~<@ # g points@ g Start  @ g EndF6@P@ Initial Angle@ Initial VelocityInitial@ yO &@O Initial@ 0$@O@ Initial AngleInitial@ 2"P@ @  H<@P@ @ Pendulum Winding Diagram@ g @@ New X@ x@ time startD8@P @ 2bw0 @ w0^2 @ gw0^2@ wd Parameters"@@ X0"@ h (step rate)@ time end&@ Drive frequency f @ Damping rate bfV@P@ Pendulum frequency f0@ Damping rate b@ Drive frequency f Parameters*@ Pendulum frequency f0~n@ 8@P @ 2bw0 @ w0^2 @ gw0^2@ wd Parameters@ fd @ gamma@ f0 @ beta @ beta@ f0 @ gamma@ fd&@ Initial Velocity"@ Initial Angle"@ # Init. Cond. @ time start@ time end@ h (step rate)@@ X08@P @ 2bw0 @ w0^2 @ gw0^2@ wd Parameters@@ New X"@ Input Element @Index(@@ Input Element@4@p"P@ @ referenceL@@P @!status @code@0sourceerror in (no error)F6@P @!status @code@0source error out @ XScale.Minimum @ XScale.Maximum@!Multiple!L$$$$$4$4L4LL$0@\@,,HH ,,,,4L`x, H,$$LL,H,$@$HH$$,$H {D*]+] # g pointsH\.(Z/(ZlD*M+Mg StartH^.Z/ZjD*G+Gg EndH$[.Z/ZMD2+?22,?2gdD]2u+]3u+Pendulum Winding DiagramMD$gHD [HD\ǓԮǔԮM D$wÏ{ō WN0.H]E/R[E0R[DKWLW8To run, press the arrow button in the upper left corner.vDptp t***Use the middle button to expand the scale.VD X!X ParametersaD2q3qPendulum frequency f0HN6b7bH_6b7bsD2_3_Damping rate b]D 2$k 3$kDrive frequency fHP]*67b*77bTD&K'KMultipleH$^+^,^SDD#Q>D$Q>InitialYDV/chV0ch Initial AngleHZi8vdi9vd\D|,o|-oInitial VelocityH8^8d9dVD.c/c In degreesYD.n/n # Init. 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PTH0 gmath.hlpODE Runge Kutta 4th Order<睒DQDQEQEQ<DHH@D@#33033303030033333003333303303300300300033########################################################################################################################### DTHPDX988 ~l"@ h (step rate)@pz@  @@ dy/dx@@ y@ x@@ Parameters$@ Initialize CalculateAction Derivatives@ time endF6@P @!status @code@0source error out&@0 password ("")L@@P @!status @code@0sourceerror in (no error) @options@2vi path4(@papplication reference (local)"@@ X0 @@ New XD8@P @ 2bw0 @ w0^2 @ gw0^2@ wd Parameters@ wd @ gw0^2 @ 2bw0@ eps@ time startF6@P @!status @code@0sourceError IO @@ dy/dx@@ y@ x*@@ Parameters0$@ Initialize CalculateActionz@  @@ dy/dx@@ y@ x@@ Parameters$@ Initialize CalculateAction, @O @ 2bw0 Parameters@ x1 @kmax @@ yout@ x2"@@ xp&@@ ystart.@@ @ Numericyp@nok@ Max Steps@ h1 @ hmin @nbadxl    @ x1@ eps @kmax@pz@  @@ dy/dx@@ y@ x@@ Parameters$@ Initialize CalculateAction Derivatives@@ yout@ x2@@ xp@@ ystart@@ @ Numericyp@nok@ Max Steps@ h1 @ hmin @nbad @ w0^2,Gh0t0,Lh|\0,Xh|X||T TDͫͬtime endH 9׳YD A A h (step rate)H8 ,5 ,5VD7 7 time startH8 6 6NDf s-f!s-X0H8y y N|*1|+1 HT8,X-XQLYLYNew XH8_}l_~lNgtgt H7zzWD77 DerivativesOD 2!2epsH7"N#NVD%% ParametersPD3@3@2bw0HL7FSFSPDYfYfw0^2H7lylyQDgw0^2H6ޒNDwdH6޸HD8  HD89  HD9O\]O \]HD8HDD8HD<0LYLY SDvi pathHD7**HDH8'O(ORD<[=[ActionHD8_f`fVD odeinit.viUD$3$3 Max StepsHD\9' 42'42PDkmaxHD6HD7 , , HD7op6FPHP&Adaptive Step Runge Kutta 4th Order.vi"FPHP B8"""@PL̡  4 FX ̪,t4  2X ߪݳ0t@ 2X @ݡpcpclg@ 2X ododkh0 X ݨܳ0,6|@P /B | 4 F  B4t4  2  -6ݳ8t@ 2 @%pcpclg@ 2 %/ododkh0  /8ܳ0,|X4|0,t |h@P9 hd4 F 8X0 is the vector of the start condition L :  0z0z/{.|-}D /X0 is the vector of the start condition , @ L :X 0z0z/{.|-}L :  +0z0z/{.|-}, 4h 0(   <  pL 5h is the fixed step rate. 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Stop Pendulumx!dfdP!txdP!oldP!extb P         @P b P         @P  cRP"@P@flg@oRt@eofudf P Anglex dfdP txdP oldP ext P   cVP"@P@flg@oRt@eofudfP Hold offp dfdP txdP oldP ext P   cRP"@P@flg@oRt@eofudf P Timex dfdP txdP oldP extb P         @P b P         @P  c P"@P@flg@oRt@eofudf8P@"P@ @ Phase Space0x@"P@ @ dfd0P@"P@ @ txd0P@"P@ @ old0P@"P@ @ ext c RP"@P@flg@oRt@eofudf P!stopx!dfdP!txdP!oldP!ext P @vP0@PP@P!!!!l@bP0   !!!    $@P0!!!B@8PP P    P   cP"@P@flg@oRt@eofudf6PP@ Initial Angle@ Initial VelocityInitialpP  dfdPP  txdPP  oldPP  ext P   c TP"@P@flg@oRt@eofudf P Offsetx dfdP txdP oldP ext cZP"@P@flg@oRt@eofudfP! Apply Offsetx!dfdP!txdP!oldP!ext( ` y`Disabled Index (row)hmilliseconds to wait4 P@@@ h@ History Data 0h0Message h OffsetV P$@P@0P4 P@@@ (@  hIndex `IndexR P@@@"P@ @ 4 P@@@ 4 P@@@ ,(@"P@ @ V P$@P@0P c c$ cX cpl@P@ Pendulum frequency f0@ Damping rate b@ Drive frequency f@ Drive strength g Parameters@ $@O@ Initial AngleInitial @ c @ Offset@p reference c@ c@! 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0 K cx>@ 2 J!Rffmfm]v@ _`4 0Щ TDЩ @ 2 L!(4 3p^vŜQ 0H7 ZL : t "(0zu0z/{.|-}4 $ Q 4  2 t "PҴp : t 0~cp~cp~cpp : t bqbqbq0  t Tdo0 : tTl|.@8h B,\ T xl,0d 4 JX4 sw =Xt@lx T \L H p4 *kAD0 0K4OxODF("RL< iLYp4< 0t@lx T\ *&P@@@xn1vBDHP#Logistic Map Bifurcation Diagram.viLVINLogistic Map Subroutine.viFPTH0^BDHPDr8^R^~\.7ܓgrn#"G,TMS0Tt0@ (\8+# h4 B8 &8o4/ڧj44 p8 xX4/N n)i X 40j40j40 j l 4$7    4L 4 B hQwQ 40 itnh40 T_idh40 $_idh 40 P #  Px X84$4 @h%| 05h64L<4/%#&  PDX47 H4tT KYTK<,@8(&\  @@|,QQ$N` 0$l \ld 0N , @D, @L< 0&% @M84" !|h <8@P!lj/{JB4 J [AjJ{%+@%+` %&$++@ %&$+!L%+4%0&+@cdxomin %&N,, 4%0&+,?mZxdr_n4%0&+AcZmdh_nL% :%  io0z0z/{.|-},%,E% %,%,&| %@-,,4%,-L%-r%5l4%(? d% 2/h33H/WaveformGraph (strict)t~B 4&0$&]&&/4&/&2 &/0/0L &.@//4&04& B.@ݵz 0'.@.Jݵ '.@0/40'.@/TLݾ0'.@.K&3,0'.@0|M&3,'0 '.@0L0 '.@/0 '.@E0Ex8'.@1(N31'0,'1[7L'3|?t5'1 '@71<1'4 3'@H'< '.@C3)l,'/4/00028'.@/P33d'03'4 34'  27L F=,(3Q4` (4,44(4 (@M34 4(  24`  G,@)P3H3O0) 34` HL) :4` !0z0z/{.|-}0) 37L G )"CD(4 )$7%1 ) @M(4 )$4)%|H)n@)P1<G1hZ)5L54)L]l )L H)x) h!d!)YY)p)Da}}})) (# J#Jd$ $ J)@ڬ))'ڬ) $T$T6))l2,)#7F(4)Q@ L) :7L  0z0z/{.|-}p). ::I) 5696)?@554)/A%Ei)Bh)B)BhBB4)0AAT+@5i4)0AAS5@:i )A?@BB)B )ACDB5 )AN,B4B4)0ABG+50i4)>C  4)CCx \)CD~0~0)5LB)C4)/D#&)Ex)E)ExE4)0DDV&4)0DDU& )DEEEx)Ex0 )DMED4 )\ 04)EF$ )E@)1GGTQqDI V)IpI)G)H4) KFBQRR  *GHH0H *F%GG*H04*3FG,RQqa *FHPH *FN,HH04*3FG@Hfqk4*3FHQ\V*H *FJ\HI4*3FG\fa4*" G J*)H *"J\I 1 * @7I 1*kCkC94*JJ *IpI,*#JI *IpH̬*J\VV*G8,*L <|(I <*  \ 5I*%akddk,*15lI,*4 5E<* D$ P.@h\*M4*EM< 4*LW ,*+BH04*NO  l*N,%J\CD ?@. -$'$@< (LL*  t!L,5LIp*N,  aY@ : aWYMh_aMhM  1[ 1W:a4*/P%E%y<*Q*Qp*QQp4*0P(P\Y0;"5<4*0P(PpX0 ;5< *P( PQL* |x&&HAP(F *P(?@PB*Q*BhQpL*P(FA,!L&&Hx| YU<DHURKFn#"G4-D[TYE4Fn#"G45B$)l^L7 G*722 (  S@n == ?=S  й  й  й йw[ $$1  ##j=TahomaTahomaTahoma00Symbol1SymbolRSRC LVINLBVW tP 4pRSID64J6}6\z7L6!>l`">_#?0,$?|Lc%? 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P P P P P    P    P P P P P    P P P P P4 P@@@ ` y(@ `fh Element Data c c4 c>:@0P@ @@ Element Data"P@ @ "P@ @ 0P@ @@ Element Data@ @ @ @ @ m Start@@@ xn1Values c@ m cD@ Total Points@ ! c@# Points at each m  @ m End@ m Start@@ Element Data @ m End@ # m points c\ c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c ch c cH) Z~   2@@@ Plot 0 BBBPlot 1BB BPlot 2 B@ @ ?mxn and lLLLLn@ n@ +@ n?PbM>6C-? ə?ə??zG{?u@ @Q$td$pxP x4@P @ t@p @ @     Hj@  @ t@p x @p^ lZ hL *  xVIDSLogistic Map Lyapunov Scan.viVIDS"Logistic Map Lyapnov Subroutine.viPTH0i386tXcodefE{XE`ETPUEd$=tW=2Ð#Ӏ}#t8EPXC,C$t} uE(E!E"ƅƅɍHHH HHHHH H$ƅthhUEP`ƅptPtRlZXPlXƅPldXfxB?ƅlQRP$hPh$ hu軍d$ZY= ƅfxFƅDž=t =tQRPhqd$ZYk QRP $WhhhEwd$ZY= t?Nj VW_^ƅfxJl ƅDž0=t 0h=t 0=tQRPhpd$ZYk408QRP8$WhhhXvd$ZY=0?4NjhtpR@Z Dž@DžDP@<X2DtPQYX VW_^<<ƅfxNI ƅ EXaE`ET.UR@␐}zt}zƅfxR- ƅDžH=t HH=tQRPhod$ZYkLHPQRPP$Whhhtd$ZY=t?LǍVW_^ƅfxV ƅDž`=t `=t `=tQRPh*nd$ZYkd`hQRPh$Whhhsd$ZY=?dNjtpRpZ DžpDžtPplX2ttPQYX VW_^llƅfxZg Elx 9} ƅQRhhP$h~d$ZY=QRhhP$h~d$ZY=QRhhP$hb~d$ZY=QRhhP$h+~d$ZY=fx" ƅƅfx& ƅƅfx* ƅDžxxx|EQRP|$WhP$pd$ZY=?4?SQRVWPEEXPE EXQRhhuhPED$Xh}d$ZY=tMEEQRhhuhPED$Xh|d$ZY=t_^ZY[ÐuP$P$Fd$ =uP$P$d$ =uP$P$d$ =ƅ}(u ƅ hhUEP8d$ =fx.}#t}"uH}!v}/uvQRPED$Dd$ZY==t p h搐ÐE{ gE`ETPUEd$=t=t=t=tE{ E{‰ppVLFX@'PUEd$=uÐTr<hTrhTr;0hTrJGhiTrOahOTrW{h5Tr@hTr4LhTrhTr x*!)19A%Sj4Nh8B_ACODEf(6.0rc5Oldest compatible LabVIEW.;T\HpPPP@ m Start@# Points at each m @ m End@ # m pointsR@@&P@ @@ xn1 Logistic Map Bifurcation Diagram@ m99ݽwp1 p1p0@++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++DTHPDW88~@ # m points@ m Start  @ m End$@# Points at each m@ Lyapunov@ "@@ xn1*@@@ xn1Values2"P@ @ bR@@&P@ @@ xn1 Logistic Map Bifurcation Diagram@ m@f!@ y$@@ LyapunovJ:@0P@ @@ Element Data&P!!!!<0P@ @@ Element Data(@@ Element Data"@ Total PointsfV8  @ Lyapunov@@@ xn1Values@ Total Points@ mpd@ZP0   !!!jZP0   !!!0"@ Element Data $$$$$4$4LL4pLL$00$LHllpd<PPPPPP````4 Hy.Z/ZwD*c+c # Points at each m{D,*9],+9] # m pointsH)?.LZ?/LZlD*M+Mm StartH0c.Z/ZjD*G+Gm EndHpg .Z /ZMDq~&q ~&mlDkYkZ  Logistic Map Bifurcation DiagramMD$ mHD tHDXl D$[ѧ[  xn and lN0.HP>#O$ODKWLW8To run, press the arrow button in the upper left corner.vDrr***Use the middle button to expand the scale.Ho8J9JHVsWsH\?HL|}HUdeH0`HDP<**H\.*,V+,VH#H8fH UNkOkHS ) )HVtuHqHDdH4(E)EH`|DRjRj000Logistic Map Bifurcations and Lyapunov ExponentsD0o0o888To run, press the arrow button in the upper left corner.HD) % %HDhHDtx33 HDl?iRviSvMD\BiI\CiIyHDml1yHl2yHND HDpuuHD4L(UM(UHD-M[%p 6H 09E*cp9E*cp9E*cp@P\_00Hd$L :H >-M30zu0z/{.|-}((\ 4 F )N(n0  )_do4  2 -[ p 6 0*cp*cp*cp( ( @L : -30zu0z/{.|-}0  p )_do@P T_|4 F p )HR p 2 *bq*bq*bq0 p4  2 p  -[,p 6 p 0*cp*cp*cpp 2 p *bq*bq*bqL : p  -30zu0z/{.|-}p ^qxQ&*"*8 = Hx<@ PlpT 9,z |(  `(\

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A?333333?First Trajectory BSecond Trajectory BnxnLLjLLro@Y@$@??????zG{?gyCalculated Separation BBBActual SeparationBB Bn SeparationLLLLɛ<V@X=+@Y<V?@Y@$@??@Y<V$x$08t4@P  x@ @ v @ @,    @ v r F    8   " ^ b @ T T T @ @ `  x@    D Z T   8 ~VIDS#Logistic Map Lyapunov Divergence.viVIDS"Logistic Map Lyapnov Subroutine.vitPTH0$S"i386"+Bcode|{$E{$+BE`ETPUEd$=tG=,Ð#Ӏ}#t(EPXC,x} uE(E!E"ƅɍlHHH HHHHH H$H(H,H0H4H8Ht?9t$QRRVhh d$ZY=96t 6>t?9t$QRRVhh虪 d$ZY=6t 6>t?9t$QRRVhhD d$ZY=6t 6$ɍHHH HƅƅVW _^VWx_^VWx_^VW_^fxRTƅۅ`ݝƅfxVcƅ݅݅ݝƅfxZjƅ݅݅ݝƅfx^qƅ݅݅݅ ݝƅfxbpƅ݅݅݅ݝƅfxfo`xVW _^VW_^VW_^VW _^VW_^`9} `ƅtQRhhP$h d$ZY=PQRhhP $h詰 d$ZY=3QRhhP$hr d$ZY=QRhhP$h; d$ZY=QRhhP$h d$ZY=fxƅxDžDžN6PXDžDžuY݋{1PXzu<PXPX݋{1PXzuJ ƅ =tƃT DžT T ƅfxB ƅƅfxF+ ƅDžX X X \ EQRP\ $WhP $ d$ZY=>?t]?uP$P$"d$ =uP$P$d$ = ƅ}(u ƅ hhUEP8d$ =fxJS tTEl@9tJz=BE`ETQRPRd$ZYÐl@BE`ETQRPu<d$ZYÐ}ztƅɍƅƅfxj ƅDž TDPT|  ?BE`QRhhP $U d$ZY=}zuQR &Ed$ZYÐQR R Ed$ZYQR Ed$ZYÐQR &Ed$ZY =tQRP"d$ZYDž ÐQR&EZY ET QQR Q lEd$ ZY Dž OAtrDž PE XDž |Dž Dž l Dž Dž 4Dž 2 t Džp Džl Dž Dž 4Dž 2 Dž Dž Dž Ð}z =u =uƅfxn Elx+ƅfxN EP@PtTEl@9tJf@BE`ETQRPRd$ZYÐl@BE`ETQRPu<d$ZYÐ}zt׀}#t}"uH}!v}/uvQRPED$ "d$ZY==t p h搐ÐE{ @BE`ETPUEd$=t=t=t=tE{ E{‰ppVLFX@'PUEd$=uÐH.P@ @@ Initial x0D8@.P@ @@ Initial x0RB@@"P@ @ Trajectory SeparationRB@p,@"P@ @ dup referenceJ:@@"P@ @ TrajectoriesN>@p,@"P@ @ referenceL@@P @!status @code@0sourceerror in (no error)F6@P @!status @code@0source error out @ YScale.Maximum*@ X Scale.Range:Maximum@ y @ YScale.Minimumq  ,,HH,,,,,H,Lh LH DDddD  mD$*1R$+1R # pointsH,k7.DZ7/DZND* 3+ 3m HLc.Z/ZpDT+afT,af l CalculatedHtxg/t[g0t[VD*T+T Initial x0Hy.Z/ZD*|+|3Initial Separation Between Neighboring TrajectoriesHXu.Z/ZXDWo Wo  TrajectoriesHD$Wo|o|MD$~~ nN D$ xnHDv‘]rrSecond TrajectoryaDӂӂTrajectory SeparationHD$rMD$ nV D$/tHZ SeparationHD\]]dq5dq5Actual SeparationaDe'f'Trajectory SeparationD"v#v888To run, press the arrow button in the upper left corner.Dπ π```Calculates two initially close Logistic Map trajectories, and plots the separation between them.HDpgHDTn"o"HD$nDde"Logistic Map Lyapnov Subroutine.viXD!Z"Z Total PointsHDl?FYGYHD\))HD<AAMD[3h:[4h:xHDok"x9k#x9HDPT5o6oHD] 2 3aDLLTrajectory SeparationHDd.R;u.S;uaD+v+vX Scale.Range:MaximumHD0LiRviSvMDYyfYzfy jn jl ź ×    2FPHP#Logistic Map Lyapunov Divergence.viFPHPDpK8~|{$$8f`Xl<!][ XLPx/t J47|804H$L   H@P#I_@r| (@lt4 F #)2S 0  2)I_do4  2 6-E[Q p 6 01=*cp1=*cp1=*cp@PH!_0$L : 6-E30zu0z/{.|-}(,4`4 FH ) 40 H  )!_do4  2H -[9p 6H 0 *cp *cp *cpL :H -30zu0z/{.|-}p 2H !*bq!*bq!*bq@P S*ygD7D|(\  pp 2 =I*bq=I*bq=I*bq4 F S*bg|L : f.u40zu0z/{.|-}4  2 f.u\,tp : 0am+cpam+cpam+cpp : my+bqmy+bqmy+bq0  b*y`do006t@P Ѓ_ $l| @( , ` p @P Į} ~| ( T d 4 F  )U`J0  )_do4  2 -[Q p 6  0*cp*cp*cp0   p 2  *bq*bq*bqL :  -30zu0z/{.|-}4 F L )}a0  L )_do4  2 L -[p 6 L 0*cp*cp*cp0  L4p 2 L *bq*bq*bqL : L -30zu0z/{.|-} |8$ |#tp ^qF Wh| `i@ :L!v]v]od0 T|4 F Vp po0 C FNp>@ :J!1fmfm]v0 k! ~?> |;@ :K!nenegl p0 20(jo @ O`40j>j} 4 60n}@O@4roDro 0 20-jm 4 30^}0 2-Ż 4 3^i4 6  Hx0 2(Ø 0  o>4 $q 90V0  xiݳ,H < H\00 Dtp^qpY$ } @ 4 N| ԃt0 k|! ?>0 C| :>4 6@O@4|ɛɱ @ :|J!1fmfm]v@ :|L!v]v]od@ :|K!nenegl@O`4|0\h  0 2( 0 2- 4 3^:0 2- 4 3^.u4n4 6e0 2( 0 | Ƈ>4 $|cr60 | ݳ8h|B4 F|R d(4L  < pT@p4 !wR 4! 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Ignore Array`Dimension Size`Dimension Size` image depth`0 default name`0 Caption.Text` precision (6)V P$@P@0PV P$@P@0P((P"P002h2path c c$ c, cpl@P@ Pendulum frequency f0@ Damping rate b@ Drive frequency f@ Drive strength g Parameters@ c @ @@ New X @ time start8@P @ 2bw0 @ w0^2 @ gw0^2@ wd Parameters@ h (step rate) @ time start@ time end c @2 start path@0prompt@ existing filenew filenew or existing file existing dirnew dirnew or existing direxisting file (use LLBs)new file (use LLBs)new or existing file (use LLBs)select mode (2) c! c@2path@0pattern@2path@0[exception source] c@@P @!status @code@0sourceerror in (no error) c2@p @@ Element Data reference c @!exists@! cancelled c@ time end8@P @ 2bw0 @ w0^2 @ gw0^2@ wd Parameters@[error code] (0)$@@[user-defined codes].@@0ser-defined descriptions] @depth c@compression (default) @!error? c@0[error source] (" ")@0message @xception action] (none:0)@[exception code]@type of dialog (OK msg:1) c@0 source out@code out6@P @!status @code@0source error out c6@P @left@top @right @bottombounds c8@p @@ Element DataIntensity Graph! c @@P @!status @code@0sourceerror in (no error) c@@ New X @ Get Image@ Get Image @colors@@colors @bounds@@image @image@ h (step rate)@ image depth@bg color6@P @!status @code@0source error out c c@ w stop (rads/sec)8@P @ 2bw0 @ w0^2 @ gw0^2@ wd Parameters @@ Element Data c @ gamma@ fd @ f0@ Drive strength g @!Store c@ q stop (rads)@@ Drive strength g:6@@@ Element DataBasins of Attraction@ q start (rads)@ q stop (rads)@ w start (rads/sec)"@!use system decimal point (T) c@# angles @# w@ w stop (rads/sec) @!Store@ Damping rate b@@ Drive frequency f@ Pendulum frequency f0@0 c c c| c cL c cL c cD c c c: c c c c@ c  c  c  c  c  c c c c c cx c8 c c c c c c c c c cX 5 k $ZrP????QN,,@r@ 8@7ߎ@>u-F?rSv !nKC@r@)@?ٙNn@???j?@qw Amplitude:SgID**************************************************************************************KoC !n@N@ !n@>?htj~@*VTV*.pngg=~ `dDPX dhpx  |  T`p  0 < P\^  5B5d@ @F @X @ @ @ @d @~ @ @ @x @|h T p fd PH  h T   @F @Xal @  T X &j @H  ` <0 t j   h  P >  @F @X0 h T  @  @ @Xh T  @ 0  @  0 @   @  b~jrz0  p   x | 4 D60  ` <.  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('C(s&}((*(_"" #%"M*/$*)*G#"% &i$#5+##)*[''555555% zJ1-GQg}./>/|//CODE(C8(6.0rc5Oldest compatible LabVIEW., 066p0PPP l@P@ Pendulum frequency f0@ Damping rate b@ Drive frequency f@ Drive strength g Parameters@# angles@# w@ w start (rads/sec)6@@@ Element DataBasins of Attraction@ q start (rads)@ q stop (rads)@ w stop (rads/sec) @!Store99ݽwp1 1`p     ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++DTHPDH88~xl@P@ Pendulum frequency f0@ Damping rate b@ Drive frequency f@ Drive strength g Parameters*@ Pendulum frequency f0 @ Damping rate b&@ Drive frequency f&@ Drive strength g@# angles$@ w start (rads/sec)@# wF6@@@ Element DataBasins of Attraction"@ Element Data, @@ Element Data&@ w stop (rads/sec) @ q start (rads) "@ q stop (rads)D8@P @ 2bw0 @ w0^2 @ gw0^2@ wd Parameters@ fd @ gamma@ f0 @ beta~n@ 8@P @ 2bw0 @ w0^2 @ gw0^2@ wd Parameters@ fd @ gamma@ f0 @ beta@ @@ New X"@@ X0"@ h (step rate)@ time end@ time start @ time start@ time end@ h (step rate)@@ X08@P @ 2bw0 @ w0^2 @ gw0^2@ wd Parameters@@ New X@ y @Index!@f@tB2@p @@ Element Data referenceF6@p @@ Element Data dup referenceL@@P @!status @code@0sourceerror in (no error)F6@P @!status @code@0source error out&@ YScale.Multiplier"@ YScale.Offset&@ XScale.Multiplier"@ XScale.Offset"@ precision (6)0&@0 Caption.Text*@@ Color Table@"@! Ignore Array @Dimension SizeD8@p @@ Element DataIntensity Graph@ Get Image@ image depth@ image depth@bg color@bg color @image @@image @colors&@@colors @boundsF6@P @left@top @right @bottomboundsă@ existing filenew filenew or existing file existing dirnew dirnew or existing direxisting file (use LLBs)new file (use LLBs)new or existing file (use LLBs)select mode (2)@2path*@compression (default)*@@ color table @depth0$@@flattened image data@4@P @left@top @right @bottomrect*@2path to PNG filel` x  6@P @!status @code@0source error out@2path@compression (default)@@ color table @depth@@P @!status @code@0sourceerror in (no error)$@@flattened image data4@P @left@top @right @bottomrect@2path to PNG file0$@@[user-defined codes]&@[error code] (0)>.@@0ser-defined descriptions] @!error?.@0[error source] (" ")@code out @0 source out.@type of dialog (OK msg:1)@0message, @xception action] (none:0)&@[exception code](@0[exception source]   @[error code] (0)$@@[user-defined codes].@@0ser-defined descriptions] @!error?@0[error source] (" ")@code out@0 source out@type of dialog (OK msg:1)@0message@@P @!status @code@0sourceerror in (no error) @xception action] (none:0)@[exception code]@0[exception source]6@P @!status @code@0source error out@0prompt @2 start path&@0 default name@0pattern @!exists@! cancelled0$@P0!!!*P0!!!2"@!use system decimal point (T) @!Store)T|$$8888$$$H8H8X88 88,8,,,8,,,|T  88,8,< ,,8,,,,,,,,,,\,t\ (,,,\\\\\  ,\ (,8,8,,,,(888(88XL,<<`  ,@PHHHHHHxH8x8xHH8xxxx   8 T p  4 8 x < 8 < L < h  @ h ( <d| <,X|8 L LH<l L L, ,$,,,, L L VDZ:grZ;gr ParametersaDtLtMPendulum frequency f0HԊP|Q|HLR~S~sDN{O{Damping rate b]DrrDrive frequency fHגtDڨ Drive strength gHȫȬgD# wH  vDw start (rads/sec)H̑%2%2TDFqGq# anglesHJ vK v`DNfNfBasins of AttractionHD 4$A%AMD$qM D$wHD C!CUD$w AmplitudeHDz{HHD ZZTD\\g=1.2800rDF G  q start (rads)H&J3v&K3vuD8E8Ew stop (rads/sec)H(KXKXqD9FF9GF  q stop (rads)HLJYvLKYvQDqb~}qc~}StoreH$ghD@A8To run, press the arrow button in the upper left corner.D4a5aBCCFor certain parameter values in the approximate vicinity of 1.29%2>HD,XD۩۪ Element DataoDmzmz#Setup Numeric Pendulum Paramters.viTDTaTatime endHDdqdqVD time startHD$HD8zzHD@oL|coM|cYDjwjw h (step rate)MD_]ld_^ldyHDBICIQD-J.JIndexHDؓQDIndexHDV]W]MDwY^wZ^t`D!N!NBasins of AttractionHD̒X_Y_MD[`\`fHD  HD  HDt  ZDDimension SizeXDiviv Ignore ArrayZDw w Dimension SizeZDDimension Size]D~~Write PNG File.vi`DF5SF6SBasins of AttractionHD4{{WDkVxkWx image depthdD|;|<General Error Handler.viHD)6)6XD&& default namefDg=XDab Caption.TextHD i pj pYD5q6q precision (6)HDԋ8E8EHD(5(5 HDHDUpVpSE False HDP' ' PD    pathRE*97Z*:7Z True rD""&Adaptive Step Runge Kutta 4th Order.virD"l"l&Adaptive Step Runge Kutta 4th Order.vi 22 >> FH DH tv txStore Date in File8FPHP(Chaotic Pendulum Basins of Attraction.vi.FPHPD8. -.~(C+GTHP1n$kFtXL-l.LH/\( L47,  H|Θ<S j9@P4 @0  do(| <,\ 4 N Y9hsx, \0 7 n=0  j9do(H\4 F sK|@Ps@x,4Note that omega0 is 2pi f0.p 2 @Lbq@Lbq@Lbq4 2 O}p 6 0@Lcp@Lcp@Lcp0  Kdo@PB؃>|LL : OU0zu0z/{.|-}4 2 Qp 6 0BNcpBNcpBNcp(,` h,4 F M|\0  M؃do@PqP4Note that omega is 2pi f.( $  dp 2 BNbqBNbqBNbqL : QW0zu0z/{.|-}p 6\ 0cpcpcpp 2\ bqbqbq4 F\ qP4 2\ 𑪠l@P <b( d l 4 F  @4 2 Ǫ,L :  Ǫְ0zu0z/{.|-}L :\ 0zu0z/{.|-}0 \ do0  ædo0 ~4 F 0 |0 <  7dop 6  0›Χcp›Χcp›Χcpp 2  ΛڧbqΛڧbqΛڧbq4  2  4p 6 0cpcpcpL :  0zu0z/{.|-}@ PT7d z4 F<  4  2< $3p 6< 0+cp+cp+cp0 ( <p 2< +7bq+7bq+7bqL :< $30zu0z/{.|-}@P:{@(|( Td4 F@ Er0 @ E{do4  2@ Iwp 6@ 0:Fcp:Fcp:Fcp0@Dp 2@ :Fbq:Fbq:FbqL :@ IO0zu0z/{.|-}|D0 dhp 2 bqbqbq,@ :lK!nenegl4 Fl Mg@ :lJ!fmfm]v@ :lL!j~v]v]od|  0 kl! \> \0 2(23 @`4l0:S:S4 6#B@O@4lgIgI0 2->? 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