On a Generalization of Hofstadter’s Q-Sequence: A Family of Chaotic Generational Structures
Author
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-25
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Hofstadter Q-recurrence is defined by the nested recurrence Qn=Qn−Qn−1+Qn−Qn−2, and there are still many unanswered questions about certain solutions of it.
In this paper, a generalization of Hofstadter’s Q-sequence is proposed and selected members of this generalization are investigated based on their chaotic generational structures and Pinn’s statistical technique.
Solutions studied have also curious approximate patterns and considerably similar statistical properties with Hofstadter’s famous Q-sequence in terms of growth characteristics of their successive generations.
In fact, the family of sequences that this paper introduces suggests the existence of conjectural global properties in order to classify unpredictable solutions to Q-recurrence and a generalization of it.
American Psychological Association (APA)
Alkan, Altug. 2018. On a Generalization of Hofstadter’s Q-Sequence: A Family of Chaotic Generational Structures. Complexity،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1136230
Modern Language Association (MLA)
Alkan, Altug. On a Generalization of Hofstadter’s Q-Sequence: A Family of Chaotic Generational Structures. Complexity No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1136230
American Medical Association (AMA)
Alkan, Altug. On a Generalization of Hofstadter’s Q-Sequence: A Family of Chaotic Generational Structures. Complexity. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1136230
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1136230