gamma = -4.2765
This is a Poincare section: the attractor is chaotic (C).
The symmetry of the attractor is Z3.
The symmetry has not changed since gamma = -2.5, but between -4.2 and now there
is a Hopf bifurcation to quasiperiodicity followed by a transition to chaos as
the torus becomes ``crinkled.''
(See
blow up of box.)
gamma = -2.2
             
gamma = -2.2 and -2.3
gamma = -2.3
gamma = -2.4
             
gamma = -2.4 and -2.5
gamma = -2.5
gamma = -4.2765   (This figure)
             
gamma = -4.2765 and -4.2766
gamma = -4.2766
gamma = -4.5
             
gamma = -4.5 and -4.6
gamma = -4.6
List of figures
   
Jim Swift's home page
   
NAU Math
   
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