Hyperchaos in a second‐order discrete memristor‐based map model | Zendy

Bao BoCheng | Zendy; Li Houzhen | Zendy; Wu Huagan | Zendy; Zhang Xi | Zendy; Chen Mo | Zendy

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Hyperchaos 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 , order (exchange) , mathematics , computer science , topology (electrical circuits) , algorithm , control theory (sociology) , electronic engineering , artificial intelligence , engineering , combinatorics , economics , control (management) , finance

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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