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Continuity of Entropy for Bimodal Maps
Author(s) -
Alsedà Lluís,
Mañosas Francesc,
Mumbrú Pere
Publication year - 1995
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/52.3.547
Subject(s) - iterated function , topological entropy , entropy (arrow of time) , mathematics , interval (graph theory) , statistical physics , pure mathematics , mathematical analysis , physics , combinatorics , thermodynamics
We characterize the continuity of the topological entropy of bimodal maps of the interval and of the circle in terms of the behaviour of the iterates of the turning points and of the value of the topological entropy of the map under consideration. In the case of bimodal circle maps of degree one we also study the continuity of the entropy in terms of their rotation intervals.