Rank One Strange Attractors in Periodically Kicked Lorenz System with Time-Delay
Joint Authors
Lin, Yiping
Yang, Wenjie
Dai, Yunxian
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Rank one strange attractor in periodically kicked Lorenz system with time-delay is investigated.
Our discussion is based on the theory of rank one maps formulated by Wang and Young.
First, we develop the rank one chaotictheory to delayed systems.
It is shown that strange attractors occur when periodically kicked delayed system undergoes ageneric Hopf bifurcation.
Then we use the theory to the periodically kicked Lorenz system with delay, and derivation of conditionsfor Hopf bifurcation and rank one chaos along with the results of numerical simulations are presented.
American Psychological Association (APA)
Yang, Wenjie& Lin, Yiping& Dai, Yunxian. 2015. Rank One Strange Attractors in Periodically Kicked Lorenz System with Time-Delay. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1060815
Modern Language Association (MLA)
Yang, Wenjie…[et al.]. Rank One Strange Attractors in Periodically Kicked Lorenz System with Time-Delay. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-14.
https://search.emarefa.net/detail/BIM-1060815
American Medical Association (AMA)
Yang, Wenjie& Lin, Yiping& Dai, Yunxian. Rank One Strange Attractors in Periodically Kicked Lorenz System with Time-Delay. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1060815
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060815
