Dynamics of a New Hyperchaotic System with Only One Equilibrium Point
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-28
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A new 4D hyperchaotic system is constructed based on the Lorenz system.
The compound structure and forming mechanism of the new hyperchaotic attractor are studied via a controlled system with constant controllers.
Furthermore, it is found that the Hopf bifurcation occurs in this hyperchaotic system when the bifurcation parameter exceeds a critical value.
The direction of the Hopf bifurcation as well as the stability of bifurcating periodic solutions is presented in detail by virtue of the normal form theory.
Numerical simulations are given to illustrate and verify the results.
American Psychological Association (APA)
Li, Xiang& Wu, Ranchao. 2013. Dynamics of a New Hyperchaotic System with Only One Equilibrium Point. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-509480
Modern Language Association (MLA)
Li, Xiang& Wu, Ranchao. Dynamics of a New Hyperchaotic System with Only One Equilibrium Point. Journal of Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-509480
American Medical Association (AMA)
Li, Xiang& Wu, Ranchao. Dynamics of a New Hyperchaotic System with Only One Equilibrium Point. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-509480
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509480