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Boundary of Topological Chaos for Bimodal Maps of the Interval
Author(s) -
Mackay R. S.,
Tresser C.
Publication year - 1988
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-37.121.164
Subject(s) - chaos (operating system) , interval (graph theory) , boundary (topology) , mathematics , space (punctuation) , topological space , topology (electrical circuits) , pure mathematics , dynamical systems theory , mathematical analysis , physics , computer science , combinatorics , computer security , operating system , quantum mechanics
We find the kneading invariants for all maps on the boundary of topological chaos in the spaces of C p 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.