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On-line Access: 2021-11-15

Received: 2020-11-09

Revision Accepted: 2021-01-24

Crosschecked: 2021-09-30

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Citations:  Bibtex RefMan EndNote GB/T7714


Bei Chen


Bocheng Bao


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Frontiers of Information Technology & Electronic Engineering  2021 Vol.22 No.11 P.1517-1531


Initial-condition-switched boosting extreme multistability and mechanism analysis in a memcapacitive oscillator

Author(s):  Bei Chen, Quan Xu, Mo Chen, Huagan Wu, Bocheng Bao

Affiliation(s):  School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China

Corresponding email(s):   mervinbao@126.com

Key Words:  Extreme multistability, Initial-condition-switched boosting, Memcapacitive oscillator, Mechanism analysis

Bei Chen, Quan Xu, Mo Chen, Huagan Wu, Bocheng Bao. Initial-condition-switched boosting extreme multistability and mechanism analysis in a memcapacitive oscillator[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(11): 1517-1531.

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author="Bei Chen, Quan Xu, Mo Chen, Huagan Wu, Bocheng Bao",
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publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T Initial-condition-switched boosting extreme multistability and mechanism analysis in a memcapacitive oscillator
%A Bei Chen
%A Quan Xu
%A Mo Chen
%A Huagan Wu
%A Bocheng Bao
%J Frontiers of Information Technology & Electronic Engineering
%V 22
%N 11
%P 1517-1531
%@ 2095-9184
%D 2021
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.2000622

T1 - Initial-condition-switched boosting extreme multistability and mechanism analysis in a memcapacitive oscillator
A1 - Bei Chen
A1 - Quan Xu
A1 - Mo Chen
A1 - Huagan Wu
A1 - Bocheng Bao
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 22
IS - 11
SP - 1517
EP - 1531
%@ 2095-9184
Y1 - 2021
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/FITEE.2000622

extreme multistability has seized scientists’ attention due to its rich diversity of dynamical behaviors and great flexibility in engineering applications. In this paper, a four-dimensional (4D) memcapacitive oscillator is built using four linear circuit elements and one nonlinear charge-controlled memcapacitor with a cosine inverse memcapacitance. The 4D memcapacitive oscillator possesses a line equilibrium set, and its stability periodically evolves with the initial condition of the memcapacitor. The 4D memcapacitive oscillator exhibits initial-condition-switched boosting extreme multistability due to the periodically evolving stability. Complex dynamical behaviors of period doubling/halving bifurcations, chaos crisis, and initial-condition-switched coexisting attractors are revealed by bifurcation diagrams, Lyapunov exponents, and phase portraits. Thereafter, a reconstructed system is derived via integral transformation to reveal the forming mechanism of the initial-condition-switched boosting extreme multistability in the memcapacitive oscillator. Finally, an implementation circuit is designed for the reconstructed system, and Power SIMulation (PSIM) simulations are executed to confirm the validity of the numerical analysis.




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