Riddled Attraction Basin and Multistability in Three-Element-Based Memristive Circuit
Joint Authors
Bao, Bocheng
Chen, Mo
Xu, Quan
Tan, Xiao
Zhang, Yunzhen
Bao, Han
Hu, Yihua
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-26
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
By coupling a diode bridge-based second-order memristor and an active voltage-controlled memristor with a capacitor, a three-element-based memristive circuit is synthesized and its system model is then built.
The boundedness of the three-element-based memristive circuit is theoretically proved by employing the contraction mapping principle.
Besides, the stability distributions of equilibrium points are theoretically and numerically expounded in a 2D parameter plane.
The results imply the memristive circuit has a zero unstable saddle focus and a pair of nonzero stable node-foci or unstable saddle-foci depending on the considered parameters.
The dynamical behaviors include point attractor, period, chaos, coexisting bifurcation mode, period-doubling bifurcation route, and crisis scenarios, which are explored using some common dynamical methods.
Of particular concern, riddled attraction basins and multistability are uncovered under two sets of specified model parameters nearing the tiny neighborhood of crisis scenarios by local attraction basins and phase plane plots.
The riddled attraction basins with island-like structure demonstrate that their dynamical behaviors are extremely sensitive to the initial conditions, resulting in the coexistence of limit cycles with period-2 and period-6, as well as the coexistence of period-1 limit cycles and single-scroll chaotic attractors.
Moreover, a feasible on-breadboard hardware circuit is manually made and the experimental measurements are executed, upon which phase plane trajectories for some discrete model parameters are captured to further confirm the numerically simulated ones.
American Psychological Association (APA)
Xu, Quan& Tan, Xiao& Zhang, Yunzhen& Bao, Han& Hu, Yihua& Bao, Bocheng…[et al.]. 2020. Riddled Attraction Basin and Multistability in Three-Element-Based Memristive Circuit. Complexity،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1142000
Modern Language Association (MLA)
Xu, Quan…[et al.]. Riddled Attraction Basin and Multistability in Three-Element-Based Memristive Circuit. Complexity No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1142000
American Medical Association (AMA)
Xu, Quan& Tan, Xiao& Zhang, Yunzhen& Bao, Han& Hu, Yihua& Bao, Bocheng…[et al.]. Riddled Attraction Basin and Multistability in Three-Element-Based Memristive Circuit. Complexity. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1142000
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142000