Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/32814
Title: Deciding the point-to-fixed-point problem for skew tent maps on an interval
Authors: KUIJPERS, Bart 
Issue Date: 2021
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
Source: JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 115 , p. 113 -120
Abstract: We consider a family of skew tent maps f(a) on the unit interval, determined by the parameter a, with 0 < a < 1. We give a decision procedure, that on input a and a point x(0) in the unit interval, determines whether or not the sequence x(0), f(a)(x(0)), f(a)(2)(x(0)), ... of iterates of f(a) on x(0) reaches one of the two fixed points of f(a) after a finite number of iterations. (C) 2020 Elsevier Inc. All rights reserved.
Notes: Kuijpers, B (corresponding author), Hasselt Univ, Databases & Theoret Comp Sci Grp, Hasselt, Belgium.; Kuijpers, B (corresponding author), Hasselt Univ, Data Sci Inst, Hasselt, Belgium.
bart.kuijpers@uhasselt.be
Other: Kuijpers, B (corresponding author), Hasselt Univ, Databases & Theoret Comp Sci Grp, Hasselt, Belgium ; Hasselt Univ, Data Sci Inst, Hasselt, Belgium. bart.kuijpers@uhasselt.be
Keywords: Dynamic systems;Decision algorithm;Fixed points
Document URI: http://hdl.handle.net/1942/32814
ISSN: 0022-0000
e-ISSN: 1090-2724
DOI: 10.1016/j.jcss.2020.07.005
ISI #: WOS:000579172100007
Category: A1
Type: Journal Contribution
Validations: ecoom 2021
Appears in Collections:Research publications

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