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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Vydané v:Electronics letters Ročník 56; číslo 15; s. 769 - 770
Hlavní autori: Bao, Bo-Cheng, Li, Houzhen, Wu, Huagan, Zhang, Xi, Chen, Mo
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: The Institution of Engineering and Technology 23.07.2020
Predmet:
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
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Abstract 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.
AbstractList 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.
Author Wu, Huagan
Zhang, Xi
Li, Houzhen
Chen, Mo
Bao, Bo-Cheng
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  organization: School of Information Science and Engineering, Changzhou University, Changzhou 213164, Jiangsu, People's Republic of China
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  surname: Wu
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  organization: School of Information Science and Engineering, Changzhou University, Changzhou 213164, Jiangsu, People's Republic of China
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  givenname: Xi
  orcidid: 0000-0002-1513-463X
  surname: Zhang
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  organization: School of Information Science and Engineering, Changzhou University, Changzhou 213164, Jiangsu, People's Republic of China
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  email: mchen@cczu.edu.cn
  organization: School of Information Science and Engineering, Changzhou University, Changzhou 213164, Jiangsu, People's Republic of China
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Cites_doi 10.1109/TIE.2019.2907444
10.1109/TCSI.2012.2188957
10.1007/s11431-019-1450-6
10.1109/TIE.2018.2833049
10.1088/0268-1242/29/10/104001
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Issue 15
Keywords 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
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  doi: 10.1109/TCSI.2012.2188957
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Snippet This Letter presents a new second-order discrete map model, which is derived from a simple sampling switch-based memristor-capacitor circuit. The...
This Letter presents a new second‐order discrete map model, which is derived from a simple sampling switch‐based memristor‐capacitor circuit. The...
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SubjectTerms 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
Title Hyperchaos in a second-order discrete memristor-based map model
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