Low Model Analysis and Synchronous Simulation of the Wave Mechanics
Joint Authors
Duan, Wenyuan
Wang, Heyuan
Kan, Meng
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-04
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The dynamic behavior of a chaotic system in the internal wave dynamics and the problem of the tracing and synchronization are investigated, and the numerical simulation is carried out in this paper.
The globally exponentially attractive set and positive invariant set of the chaotic system are studied via constructing the positive definite and radial unbounded Lyapunov function.
There are no equilibrium positions, periodic solutions, quasi-period motions, wandering recovering motions, and other chaotic attractors of the system out of the globally exponentially attractive set.
Strange attractors can only locate in the globally exponentially attractive set.
A feedback controller is designed for the chaotic system to realize the control of the unstable point.
The second method of Lyapunov is used to discuss theoretically the rationality of the design of the controller.
The driving-response synchronization method is used to realize the globally exponential synchronization.
The numerical simulation is carried out by MATLAB software, and the simulation results show that the method is effective.
American Psychological Association (APA)
Duan, Wenyuan& Wang, Heyuan& Kan, Meng. 2016. Low Model Analysis and Synchronous Simulation of the Wave Mechanics. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1111938
Modern Language Association (MLA)
Duan, Wenyuan…[et al.]. Low Model Analysis and Synchronous Simulation of the Wave Mechanics. Mathematical Problems in Engineering No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1111938
American Medical Association (AMA)
Duan, Wenyuan& Wang, Heyuan& Kan, Meng. Low Model Analysis and Synchronous Simulation of the Wave Mechanics. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1111938
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1111938