{VERSION 3 0 "SUN SPARC SOLARIS" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "with(plots):with(plo ttools):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "f:=c->x ->x^2+c;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGR6#%\"cG6\"6$%)opera torG%&arrowGF(R6#%\"xGF(F)F(,&*$)9$\"\"#\"\"\"\"\"\"T$F5F(F(6$F'F2F(F( F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "f(1)(x);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#,&*$)%\"xG\"\"#\"\"\"\"\"\"F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 126 "orbit:=proc(c,x,n)\n local i,l;\n l:=[x];\n for i from 1 to n do\n l:=[op(l),evalf(f(c)(l[nops(l)] ))];\n od;\nRETURN(l);\nend;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&or bitGR6%%\"cG%\"xG%\"nG6$%\"iG%\"lG6\"F-C%>8%7#9%?(8$\"\"\"F59&%%trueG> F07$-%#opG6#F0-%&evalfG6#--%\"fG6#9$6#&F06#-%%nopsGF<-%'RETURNGF " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 " orbit(0.3,0,10);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7-\"\"!$\"\"$!\"\" $\"#R!\"#$\"%@X!\"%$\")T%R/&!\")$\"+3s8Wb!#5$\"+QdutgF3$\"+H(Q!*o'F3$ \"+7RKuuF3$\"+%z^le)F3$\"+<()GP5!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 367 "plotor bit:=proc(c,S,n,VIEW,CLR)\n local 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"6#>%(epsilonG$\"\"\"!\"&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%+isconstantGR6#%\"lG6#%\"iG6\"F*C$?(8$\"\"\"F.-%%nops G6#9$%%trueG@$2%(epsilonG-%$absG6#,&&F26#F-F.&F26#F.!\"\"-%'RETURNG6#F ?-FA6#\"\"!F*F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 325 "guess period:=proc(l) \nlocal i,n,k;\n i:=nops(l)-1;\n while (abs(l[i]-l[n ops(l)])>epsilon) and (i>1) do i:=i-1 od;\nif abs(l[i]-l[nops(l)])<=ep silon then n:=nops(l)-i; \n for k from 0 to n-1 do\n if isconstant([ seq(l[k+i*n],i=1..floor(nops(l)/n)-1)])=-1 then RETURN(-1);fi ;\n od;\n RETURN(n); else RETURN(-1);\nfi;\nend;" }}{PARA 12 "" 1 " " {XPPMATH 20 "6#>%,guessperiodGR6#%\"lG6%%\"iG%\"nG%\"kG6\"F,C%>8$,&- %%nopsG6#9$\"\"\"!\"\"F5?(F,F5F5F,32%(epsilonG-%$absG6#,&&F46#F/F5&F46 #F1F62F5F/>F/,&F/F5F6F5@%1F;F:C%>8%,&F1F5F/F6?(8&\"\"!F5,&FJF5F6F5%%tr ueG@$/-%+isconstantG6#7#-%$seqG6$&F46#,&FMF5*&F/F5FJF5F5/F/;F5,&-%&flo orG6#*&F1\"\"\"FJ!\"\"F5F6F5F6-%'RETURNG6#F6-Fbo6#FJFaoF,F,F," }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 232 "diagram:=proc(cv,step)\n local l,pts,i,c;\n pts: =[];\n for c from cv[1] to cv[2] by step do\n l:=orbit(c,0,200);\n \+ l:=[seq(l[168+i],i=1..32)];\n pts:=[op(pts),[seq([c,l[i]],i=1..32)]]; \n od;\n plot(pts,style=point,color=green);\nend;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "27 0 0" 0 }{VIEWOPTS 1 1 0 3 2 1804 }