Semi-hyperbolic mappings and robustness of chaotic behaviour
Author
Source
Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series
Issue
Vol. 17, Issue 1 (31 Mar. 2002), pp.85-98, 14 p.
Publisher
Mutah University Deanship of Academic Research
Publication Date
2002-03-31
Country of Publication
Jordan
No. of Pages
14
Main Subjects
Abstract AR
أن الأنظمة الديناميكية المتولدة عن مؤثر من النوع شبه الزائدي تحقق الخاصية التباعدية الاسيه، انظر [4].
و انه من المعروف أيضا بان الخاصية آلتباعدية هي من أهم سمات السلوك التشويشي للأنظمة الديناميكية.
في هذا البحث، نقوم بأئبات أن قلقلة تأخيرية صغيرة لنظام ديناميكي متولد عن معادلة تفاضلية عادية ذات trajectory تكون مشوشة و ذلك بحسب تعريف للتشويش اقترح مؤخرا في [6] من قبل Diamond و آخرون.
Abstract EN
Dynamical systems generated by scmi-hypcrbolic mappings arc known to be exponentially expansive, [4].
It is also known that expansivity is one of the main features of “chaotic behaviour” of dynamical systems.
In this paper, we show that a small delay perturbation of an ordinary differential equation with a homoclinic trajectory' is ‘‘chaotic” in the sense of a recently proposed definition of chaos presented by Phil Diamond el.al.
in [6].
American Psychological Association (APA)
al-Nayif, Anwar A.. 2002. Semi-hyperbolic mappings and robustness of chaotic behaviour. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series،Vol. 17, no. 1, pp.85-98.
https://search.emarefa.net/detail/BIM-377767
Modern Language Association (MLA)
al-Nayif, Anwar A.. Semi-hyperbolic mappings and robustness of chaotic behaviour. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series Vol. 17, no. 1 (2002), pp.85-98.
https://search.emarefa.net/detail/BIM-377767
American Medical Association (AMA)
al-Nayif, Anwar A.. Semi-hyperbolic mappings and robustness of chaotic behaviour. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series. 2002. Vol. 17, no. 1, pp.85-98.
https://search.emarefa.net/detail/BIM-377767
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 97-98
Record ID
BIM-377767
