Henon Unstable Manifold for b = -0.3

Movies from unstable manifolds for complex Henon map

X = x^2 + c + b y
Y = x
Parameter b = -0.3 is fixed, and Re(c) moves from 1.0 to -2.0.

Prameter space picture by SaddleDrop of Karl Papadantonakis.
Parameter a (= -b) = 0.3. -1.5 < Real(c) <1.0. -0.5 < Imag(c) < 1.0.
With the principal critical point.

With the secondary critical point.

parameter Im(c) = 0.0 is fixed.

parameter Im(c) = 0.02 is fixed.

parameter Im(c) = 0.04 is fixed.

parameter Im(c) = 0.06 is fixed.

parameter Im(c) = 0.08 is fixed.

parameter Im(c) = 0.1 is fixed.

parameter Im(c) = 0.12 is fixed.

parameter Im(c) = 0.14 is fixed.

parameter Im(c) = 0.16 is fixed.

parameter Im(c) = 0.18 is fixed.

parameter Im(c) = 0.2 is fixed.

parameter Im(c) = 0.22 is fixed.

parameter Im(c) = 0.24 is fixed.

parameter Im(c) = 0.26 is fixed.

parameter Im(c) = 0.28 is fixed.

parameter Im(c) = 0.3 is fixed.

parameter Im(c) = 0.32 is fixed.

parameter Im(c) = 0.34 is fixed.

parameter Im(c) = 0.36 is fixed.

parameter Im(c) = 0.38 is fixed.

parameter Im(c) = 0.4 is fixed.

parameter Im(c) = 0.42 is fixed.

parameter Im(c) = 0.44 is fixed.

parameter Im(c) = 0.46 is fixed.

parameter Im(c) = 0.48 is fixed.

parameter Im(c) = 0.5 is fixed.

parameter Im(c) = 0.52 is fixed.

parameter Im(c) = 0.54 is fixed.

parameter Im(c) = 0.56 is fixed.

parameter Im(c) = 0.58 is fixed.

parameter Im(c) = 0.6 is fixed.

parameter Im(c) = 0.62 is fixed.

parameter Im(c) = 0.64 is fixed.

parameter Im(c) = 0.66 is fixed.

parameter Im(c) = 0.68 is fixed.

parameter Im(c) = 0.7 is fixed.

parameter Im(c) = 0.72 is fixed.

parameter Im(c) = 0.74 is fixed.

parameter Im(c) = 0.76 is fixed.

parameter Im(c) = 0.78 is fixed.

parameter Im(c) = 0.8 is fixed.

parameter Im(c) = 0.82 is fixed.

parameter Im(c) = 0.84 is fixed.

parameter Im(c) = 0.86 is fixed.

parameter Im(c) = 0.88 is fixed.

parameter Im(c) = 0.9 is fixed.