net/web2/biomates */ draw2d( title = "All orbits of 14 critical points for f(z)=z^15 -z ", terminal = png, file_name = concat("~/",string(iLength),"b")...
critical orbits for discrete map f(z)=",fs ," where m=e^{2*pi*i*3/4}= -i "), terminal = png, user_preamble = "set angles degrees; set grid polar 15;...
z f = 1 / 4 {\displaystyle z_{f}=1/4} ( here big blue dot) then compute/draw orbits: critical orbit ( images of critical point = forward iteration of...
points): r0: external ray 0 goes from (+) infinity along critical orbit towards critical point z=0 ( horizontal segment). Here bifurcates. segment r1 has...
plane with Julia set for Blaschke fraction f(z) = rho * z^2 * (z-3)/(1-3z) MBD_LCM andl LCM only for parabolic basin and critical orbit of parabolic basin...
points): r0: external ray 0 goes from (+) infinity along critical orbit towards critical point z=0 ( horizontal segment). Here bifurcates. segment r1 has...
p_size, A); /* forward orbit of critical point */ for (i=1;i<i_Max ; ++i) { z = f(z); //if (cabs2(z - zp) < AR2) {break;} // if (cabs2(z - zp) < PixelWidth2)...
plane with Julia set for Blaschke fraction f(z) = rho * z^2 * (z-3)/(1-3z) LCM for all 3 basins and critical orbit of parabolic basin File basins.pgm saved...
complex double z = z0; printf("draw forward orbit \n"); PlotBigPoint(z, A); /* forward orbit of critical point */ for (i=1;i<iMax ; ++i) { z = f(z); fprintf...
because zp0 = zcr = 0 z = f(z); } return iColorOfUnknown; } /* attracting petals ( gray curves) take 2 points: last point of critical orbit and fixed point...
_=_z^15_-_z.png){kind=link}
=z^4-iz.png){kind=link}
_=_z^2_+0.25.svg){kind=link}
_=_z*z_+_0.35.png){kind=link}
_=_rho_*_z^2_*_(z-3)_over_(1-3z)_with_LCM_and_critical_orbit.png){kind=link}
_=_z*z_+_0.35.svg){kind=link}
_=_z*z_-0.6978381951224250+0.2793041341013660_(_components_and_attracting_cycle).png){kind=link}
_=_rho_*_z^2_*_(z-3)_over_(1-3z).png){kind=link}
=1_over_z3+z*(-3-3*I).png){kind=link}
_=_z*z_+_0.25.png){kind=link}