Ikeda Attractor
Ikeda Attractor
Ikeda Attractor
Instructions:
Applet draws Ikeda attractor in X-Y plain for different values of U parameter. System is conservative for U = 1, for lower values of U system is dissipative.
You can enlarge a fragment of attractor by dragging a rectangle with mouse. Applet will redrawn rectangle automatically.
Description:
Ikeda attractor is generated by transforamtion:
Z -> A + B.Z.exp{i[0.4 - 6/(1 + 2Z.2Z)]}
Z = X + iY
or using real variables:
Xn+1 = 1 + U(Xncos(t) - Ynsin(t))
Yn+1 = U(Xnsin(t) + Yncos(t))
t = 0.4 - 6.0/(1 + Xn2 + Yn2)
You can also analyse Bifurcations and Lapunov exponents for above transformations.
Ikeda Bifuractions
Lapunov exponents for Ikeda
back to main page