Dimensionality Reduction Reconstitution for Extreme Multistability in Memristor-Based Colpitts System
Joint Authors
Bao, Bocheng
Chen, Mo
Wu, Huagan
Zhang, Yunzhen
Chen, Shengyao
Liu, Zhong
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-11-26
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, a four-dimensional (4-D) memristor-based Colpitts system is reaped by employing an ideal memristor to substitute the exponential nonlinear term of original three-dimensional (3-D) Colpitts oscillator model, from which the initials-dependent extreme multistability is exhibited by phase portraits and local basins of attraction.
To explore dynamical mechanism, an equivalent 3-D dimensionality reduction model is built using the state variable mapping (SVM) method, which allows the implicit initials of the 4-D memristor-based Colpitts system to be changed into the corresponding explicitly initials-related system parameters of the 3-D dimensionality reduction model.
The initials-related equilibria of the 3-D dimensionality reduction model are derived and their initials-related stabilities are discussed, upon which the dynamical mechanism is quantitatively explored.
Furthermore, the initials-dependent extreme multistability is depicted by two-parameter plots and the coexistence of infinitely many attractors is demonstrated by phase portraits, which is confirmed by PSIM circuit simulations based on a physical circuit.
American Psychological Association (APA)
Zhang, Yunzhen& Liu, Zhong& Chen, Mo& Wu, Huagan& Chen, Shengyao& Bao, Bocheng. 2019. Dimensionality Reduction Reconstitution for Extreme Multistability in Memristor-Based Colpitts System. Complexity،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1131770
Modern Language Association (MLA)
Zhang, Yunzhen…[et al.]. Dimensionality Reduction Reconstitution for Extreme Multistability in Memristor-Based Colpitts System. Complexity No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1131770
American Medical Association (AMA)
Zhang, Yunzhen& Liu, Zhong& Chen, Mo& Wu, Huagan& Chen, Shengyao& Bao, Bocheng. Dimensionality Reduction Reconstitution for Extreme Multistability in Memristor-Based Colpitts System. Complexity. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1131770
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131770