Theoretical Analysis and Circuit Verification for Fractional-Order Chaotic Behavior in a New Hyperchaotic System
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-26
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A novel nonlinear four-dimensional hyperchaotic system and its fractional-order form are presented.
Some dynamical behaviors of this system are further investigated, including Poincaré mapping, parameter phase portraits, equilibrium points, bifurcations, and calculated Lyapunov exponents.
A simple fourth-channel block circuit diagram is designed for generatingstrange attractors of this dynamical system.
Specifically, a novel network module fractance is introduced to achieve fractional-ordercircuit diagram for hardware implementation of the fractional attractors of this nonlinear hyperchaotic system with order as lowas 0.9.
Observation results have been observed by using oscilloscope which demonstrate that the fractional-order nonlinear hyperchaotic attractors exist indeed in this new system.
American Psychological Association (APA)
Liu, Ling& Chong-xin, Liu. 2014. Theoretical Analysis and Circuit Verification for Fractional-Order Chaotic Behavior in a New Hyperchaotic System. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1046376
Modern Language Association (MLA)
Liu, Ling& Chong-xin, Liu. Theoretical Analysis and Circuit Verification for Fractional-Order Chaotic Behavior in a New Hyperchaotic System. Mathematical Problems in Engineering No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1046376
American Medical Association (AMA)
Liu, Ling& Chong-xin, Liu. Theoretical Analysis and Circuit Verification for Fractional-Order Chaotic Behavior in a New Hyperchaotic System. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1046376
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1046376