Ikeda - Lapunov exponents
Ikeda - Lapunov exponents
Instructions:
Applet draws Lapunov exponents for different derivatives of Ikeda transformations and their combinations.
fx is the 'x' derrivative.
fy is the 'y' derrivative.
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 attractor and Bifurcations for above transformations.
Ikeda attractor
Bifurcations for Ikeda
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