Journal
JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS
Volume 27, Issue 3, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021812661850038X
Keywords
Memristor; emulator; hyper-chaotic; electronic circuit
Funding
- National Natural Science Foundation of China [61571185]
- Natural Science Foundation of Hunan Province, China [2016JJ2030]
- Open Fund Project of Key Laboratory in Hunan Universities [15K027]
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In this paper, a flux-controlled memristor with linear memductance is proposed. Compared with the memristor with piecewise linear memductance and the memristor with smooth continuous nonlinearity memductance which are widely used in the study of memristive chaotic system, the proposed memristor has simple mathematical model and is easy to implement. Multisim circuit simulation and breadboard experiment are realized, and the memristor can exhibit a pinched hysteresis loop in the voltage-current plane when driven by a periodic voltage. In addition, a new hyper-chaotic system is presented in this paper by adding the proposed memristor into the Lorenz system. The transient chaos and multiple attractors are observed in this memristive system. The dynamical behaviors of the proposed system are analyzed by equilibria, Lyapunov exponents, bifurcation diagram and phase portrait. Finally, an electronic circuit is designed to implement the hyper-chaotic memristive system.
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