Henon Unstable Manifold for b = -0.5


Movies from unstable manifolds for complex Henon map


X = x^2 + c + b y
Y = x
Parameter b = -0.5 is fixed, and Re(c) moves from 0.8 to -1.9.



Parameter space pictures are generated by SaddleDrop of Karl Paradantonakis.


c-slice of parameter space for primary critical point.


c-slice of parameter space for secondary critical point.



parameter Im(c) = 0.00 is fixed.


parameter Im(c) = 0.01 is fixed.


parameter Im(c) = 0.02 is fixed.


parameter Im(c) = 0.03 is fixed.


parameter Im(c) = 0.04 is fixed.


parameter Im(c) = 0.05 is fixed.


parameter Im(c) = 0.06 is fixed.


parameter Im(c) = 0.07 is fixed.


parameter Im(c) = 0.08 is fixed.


parameter Im(c) = 0.09 is fixed.


parameter Im(c) = 0.10 is fixed.


parameter Im(c) = 0.11 is fixed.


parameter Im(c) = 0.12 is fixed.


parameter Im(c) = 0.13 is fixed.


parameter Im(c) = 0.14 is fixed.


parameter Im(c) = 0.15 is fixed.


parameter Im(c) = 0.16 is fixed.


parameter Im(c) = 0.17 is fixed.


parameter Im(c) = 0.18 is fixed.


parameter Im(c) = 0.19 is fixed.


parameter Im(c) = 0.20 is fixed.


parameter Im(c) = 0.21 is fixed.


parameter Im(c) = 0.22 is fixed.


parameter Im(c) = 0.23 is fixed.


parameter Im(c) = 0.24 is fixed.


parameter Im(c) = 0.25 is fixed.


parameter Im(c) = 0.26 is fixed.


parameter Im(c) = 0.27 is fixed.


parameter Im(c) = 0.28 is fixed.


parameter Im(c) = 0.29 is fixed.


parameter Im(c) = 0.30 is fixed.


parameter Im(c) = 0.31 is fixed.


parameter Im(c) = 0.32 is fixed.


parameter Im(c) = 0.33 is fixed.


parameter Im(c) = 0.34 is fixed.


parameter Im(c) = 0.35 is fixed.


parameter Im(c) = 0.36 is fixed.


parameter Im(c) = 0.37 is fixed.


parameter Im(c) = 0.38 is fixed.


parameter Im(c) = 0.39 is fixed.