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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Vydáno v:	Electronics letters Ročník 56; číslo 15; s. 769 - 770
Hlavní autoři:	Bao, Bo-Cheng, Li, Houzhen, Wu, Huagan, Zhang, Xi, Chen, Mo
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	The Institution of Engineering and Technology 23.07.2020
Témata:	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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Popis
Shrnutí:	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