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Hybrid State Variable Incremental Integral for Reconstructing Extreme Multistability in Memristive Jerk System with Cubic Nonlinearity
Joint Authors
Bao, Bocheng
Bao, Han
Chen, Mo
Wu, Huagan
Xu, Quan
Feng, Yang
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-23
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Memristive system with infinitely many equilibrium points has attracted much attention for the generation of extreme multistability, whose initial-dependent dynamics can be interpreted in a reduced-order model through incremental integral transformation of state variables.
But, the memristive system with any extra nonlinear terms besides the memristor ones cannot be handled directly using this method.
In addition, the transformed state variables could be divergent due to the asymmetry of the original system.
To solve these problems, a hybrid state variable incremental integral (HSVII) method is proposed in this paper.
With this method, the extreme multistability in a four-dimensional (4D) memristive jerk system with cubic nonlinearity is successfully reconstituted in a three-dimensional (3D) model and the divergent state variables are eliminated through ingenious linear state variable mapping.
Thus, mechanism analysis and physical control of the special extreme multistability can readily be performed.
A hardware circuit is finally designed and fabricated, and the theoretical and numerical results are verified by the experimental measurements.
It is demonstrated that this HSVII method is effective for the analysis of multistable system with high-order nonlinearities.
American Psychological Association (APA)
Chen, Mo& Feng, Yang& Bao, Han& Bao, Bocheng& Wu, Huagan& Xu, Quan. 2019. Hybrid State Variable Incremental Integral for Reconstructing Extreme Multistability in Memristive Jerk System with Cubic Nonlinearity. Complexity،Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1132982
Modern Language Association (MLA)
Chen, Mo…[et al.]. Hybrid State Variable Incremental Integral for Reconstructing Extreme Multistability in Memristive Jerk System with Cubic Nonlinearity. Complexity No. 2019 (2019), pp.1-16.
https://search.emarefa.net/detail/BIM-1132982
American Medical Association (AMA)
Chen, Mo& Feng, Yang& Bao, Han& Bao, Bocheng& Wu, Huagan& Xu, Quan. Hybrid State Variable Incremental Integral for Reconstructing Extreme Multistability in Memristive Jerk System with Cubic Nonlinearity. Complexity. 2019. Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1132982
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132982