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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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File | Description | Size | Format | |
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2018-JCSS-Tent-Maps.pdf | Peer-reviewed author version | 386.07 kB | Adobe PDF | View/Open |
1-s2.0-S002200001830237X-main.pdf Restricted Access | Published version | 294.26 kB | Adobe PDF | View/Open Request a copy |
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