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Journal of the London Mathematical Society 1988 s2-37(121):164-181; doi:10.1112/jlms/s2-37.121.164
© 1988 by London Mathematical Society
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© The London Mathematical Society

Boundary of Topological Chaos for Bimodal Maps of the Interval

R. S. Mackay and C. Tresser

Mathematics Institute, University of Warwick Coventry CV4 7AL
LA 190, Pare Valrose, 06034 Nice Cedex, France

Received 15 January 1987.

We find the kneading invariants for all maps on the boundary of topological chaos in the spaces of Cp maps of the interval with two turning points, p ≥ 1. This gives an example of a space of systems where the boundary of complicated dynamical behaviour is itself quite complicated.


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