Open AccessHyperchaos in a second‐order discrete memristor‐based map model
Author(s) -
Bao BoCheng,
Li Houzhen,
Wu Huagan,
Zhang Xi,
Chen Mo
Publication year - 2020
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2020.1172
Subject(s) - memristor , chaotic , phase portrait , bifurcation , control theory (sociology) , mathematics , fixed point , simple (philosophy) , topology (electrical circuits) , computer science , statistical physics , mathematical analysis , physics , nonlinear system , artificial intelligence , combinatorics , quantum mechanics , control (management) , philosophy , epistemology
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.