File:Logi5T1500.png

LogisticSequence versus real argument for various values of parameter.

$F(x)=\mathrm{LogisticSequence}_s(x)$ versus $x$ for

$s\!=\!3$, red dashed

$s\!=\!3.4$, green solid

$s\!=\!3.8$, blue dotted

C++ generator of curves
using namespace std; typedef complex z_type; //#include "conto.cin" int main{ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d; FILE *o;o=fopen("logi6.eps","w");ado(o,164,24); fprintf(o,"62 2 translate\n 20 20 scale\n");
 * 1) include 
 * 2) include 
 * 3) include 
 * 4) define DB double
 * 5) define DO(x,y) for(x=0;x<y;x++)
 * 1) include
 * 1) define Re(x) x.real
 * 2) define Im(x) x.imag
 * 3) define I z_type(0.,1.)
 * 1) include "ado.cin"
 * 2) include "efjh.cin"
 * 1) define M(x,y) fprintf(o,"%6.3f %6.3f M\n",0.+x,0.+y);
 * 2) define L(x,y) fprintf(o,"%6.3f %6.3f L\n",0.+x,0.+y);

fprintf(o,"1 setlinejoin 2 setlinecap\n"); for(m=-3;m<6;m++){if(m==0){M(m,-.04)L(m,1.06)} else{M(m,0)L(m,1)}} for(n=0;n<2;n++){      M(  -3,n)L(5,n)} fprintf(o,".008 W 0 0 0 RGB S\n");

maq(3.4); DO(m,1004) { x=-3.+8.*sqrt(.001*m); y=Re(F(x)); if(m==0)M(x,y) else L(x,y);} fprintf(o,".01 W 0 .7 0 RGB S\n");

maq(3.); DO(m,1004) { x=-3.+8.*sqrt(.001*m); y=Re(F(x)); if(m==0)M(x,y) else L(x,y);} fprintf(o,".015 W 1 0 0 RGB [.03 .04] 0 setdash S\n");

fprintf(o,"1 setlinejoin 1 setlinecap\n");

maq(3.8); DO(m,1004) { x=-3.+8.*sqrt(.001*m); y=Re(F(x)); if(y>-2) { if(m==0)M(x,y) else L(x,y);} } fprintf(o,".015 W 0 0 1 RGB [.001 .025] 0 setdash S\n");

fprintf(o,"showpage\n%c%cTrailer",'%','%'); fclose(o); system("epstopdf logi6.eps"); system(   "open logi6.pdf"); getchar; system("killall Preview"); }