Journal
ELECTRONICS LETTERS
Volume 56, Issue 15, Pages 769-770Publisher
INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/el.2020.1172
Keywords
bifurcation; chaos; memristors; critical stable fixed points; infinite unstable points; simple sampling switch-based memristor-capacitor circuit; second-order discrete map model; second-order discrete memristor-based map model
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Funding
- National Natural Science Foundation of China [51777016, 61801054]
- Natural Science Foundations of Jiangsu Province, China [BK20191451]
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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.
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