Novel 3-Scroll Chua’s Attractor with One Saddle-Focus and Two Stable Node-Foci
Joint Authors
Wu, Huagan
Chu, Kaibin
Zhu, Zheng-Wei
Qian, Hui
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-31
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
With new three-segment piecewise-linearity in the classic Chua’s system, two new types of 2-scroll and 3-scroll Chua’s attractors are found in this paper.
By changing the outer segment slope of the three-segment piecewise-linearity as positive, the new 2-scroll Chua’s attractor has emerged from one zero index-1 saddle-focus and two symmetric stable nonzero node-foci.
In particular, by newly introducing a piecewise-linear control function, an improved Chua’s system only with one zero index-2 saddle-focus and two stable nonzero node-foci is constructed, from which a 3-scroll Chua’s attractor is converged.
Some remarks for Chua’s nonlinearities and the generating chaotic attractors are discussed, and the stabilities at the three equilibrium points are then analyzed, upon which the emerging mechanisms of the novel 2-scroll and 3-scroll Chua’s attractors are explored in depth.
Furthermore, an analog electronic circuit built with operational amplifier and analog multiplier is designed and hardware circuit experiments are measured to verify the numerical simulations.
These novel 2-scroll and 3-scroll Chua’s attractors reported in this paper are completely different from the classic Chua’s attractors, which will enrich the dynamics of the classic Chua’s system.
American Psychological Association (APA)
Chu, Kaibin& Zhu, Zheng-Wei& Qian, Hui& Wu, Huagan. 2018. Novel 3-Scroll Chua’s Attractor with One Saddle-Focus and Two Stable Node-Foci. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1209494
Modern Language Association (MLA)
Chu, Kaibin…[et al.]. Novel 3-Scroll Chua’s Attractor with One Saddle-Focus and Two Stable Node-Foci. Mathematical Problems in Engineering No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1209494
American Medical Association (AMA)
Chu, Kaibin& Zhu, Zheng-Wei& Qian, Hui& Wu, Huagan. Novel 3-Scroll Chua’s Attractor with One Saddle-Focus and Two Stable Node-Foci. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1209494
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209494