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The Attractors of the Common Differential Operator Are Determined by Hyperbolic and Lacunary Functions
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-04-13
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
For analytic functions, we investigate the limit behavior of the sequence of their derivatives by means of Taylor series, the attractors are characterized by ω-limit sets.
We describe four different classes of functions, with empty, finite, countable, and uncountable attractors.
The paper reveals that Erdelyiés hyperbolic functions of higher order and lacunary functions play an important role for orderly or chaotic behavior.
Examples are given for the sake of confirmation.
American Psychological Association (APA)
Bayer, Wolf. 2009. The Attractors of the Common Differential Operator Are Determined by Hyperbolic and Lacunary Functions. International Journal of Mathematics and Mathematical Sciences،Vol. 2008, no. 2008, pp.1-19.
https://search.emarefa.net/detail/BIM-457468
Modern Language Association (MLA)
Bayer, Wolf. The Attractors of the Common Differential Operator Are Determined by Hyperbolic and Lacunary Functions. International Journal of Mathematics and Mathematical Sciences No. 2008 (2008), pp.1-19.
https://search.emarefa.net/detail/BIM-457468
American Medical Association (AMA)
Bayer, Wolf. The Attractors of the Common Differential Operator Are Determined by Hyperbolic and Lacunary Functions. International Journal of Mathematics and Mathematical Sciences. 2009. Vol. 2008, no. 2008, pp.1-19.
https://search.emarefa.net/detail/BIM-457468
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457468