Hyperchaos in a second-order discrete memristor-based map model

This Letter presents a new second-order discrete map model, which is derived from a simple sampling switch-based memristor-capacitor circuit. The memristor-based map model has infinite unstable and critical stable fixed points, and exhibits chaotic and hyperchaotic behaviours via a period-doubling b...

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Bibliographic Details
Published in:Electronics letters Vol. 56; no. 15; pp. 769 - 770
Main Authors: Bao, Bo-Cheng, Li, Houzhen, Wu, Huagan, Zhang, Xi, Chen, Mo
Format: Journal Article
Language:English
Published: The Institution of Engineering and Technology 23.07.2020
Subjects:
bifurcation
chaos
critical stable fixed points
infinite unstable points
Information and communications
memristors
second‐order discrete map model
second‐order discrete memristor‐based map model
simple sampling switch‐based memristor‐capacitor circuit
memristors
bifurcation
second-order discrete map model
chaos
second-order discrete memristor-based map model
critical stable fixed points
simple sampling switch-based memristor-capacitor circuit
infinite unstable points
ISSN:0013-5194, 1350-911X, 1350-911X
Online Access:Get full text
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Summary:This Letter presents a new second-order discrete map model, which is derived from a simple sampling switch-based memristor-capacitor circuit. The memristor-based map model has infinite unstable and critical stable fixed points, and exhibits chaotic and hyperchaotic behaviours via a period-doubling bifurcation scenario. These complex dynamical behaviours are confirmed by the phase portraits, iterative sequences and basins of attraction.
ISSN:0013-5194
1350-911X
1350-911X
DOI:10.1049/el.2020.1172