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Wandering Intervals for Lorenz Maps with Bounded Nonlinearity
Author(s) -
Berry D.,
Mestel B. D.
Publication year - 1991
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/23.2.183
Subject(s) - mathematics , bounded function , surjective function , lorenz system , nonlinear system , irrational number , mathematical analysis , pure mathematics , geometry , physics , quantum mechanics , attractor
A Lorenz map satisfying a bounded nonlinearity condition is shown not to admit wandering intervals unless it renormalises to a non‐surjective circle map (gap map) with irrational rotation number.
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