## Representations of the Whitehead manifold $$Wh^ 3$$ and Julia sets.(English)Zbl 0878.57015

Summary: When one extends to the Whitehead manifold the collapsible pseudo-spine representation theorem for homotopy 3-spheres, the tight transversals to the set of double lines present chaotic dynamical behaviour of a very well-known type. This behaviour is generated by a dynamical feedback loop which also generates Julia sets.

### MSC:

 57M30 Wild embeddings 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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### References:

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