Nonparametric bifurcation mechanism in 2-D hyperchaotic discrete memristor-based map

Compared with continuous-time memristor (CM), discrete memristor (DM) has not been received adequate attention. In this paper, a new n- dimensional generalized DM model is proposed based on the discrete theory. Two 2-D discrete mathematical models satisfying the three fingerprints characteristics of...

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Bibliographic Details
Published in:Nonlinear dynamics 2021-06, Vol.104 (4), p.4601-4614
Main Authors: Deng, Yue, Li, Yuxia
Format: Article
Language:English
Subjects:
Automotive Engineering
Bifurcations
Classical Mechanics
Control
Digital mapping
Digital signal processors
Dynamical Systems
Engineering
Liapunov exponents
Mathematical analysis
Mathematical models
Mechanical Engineering
Memristors
Microprocessors
Nonparametric statistics
Original Paper
Phase diagrams
Sequences
Signal processing
Two dimensional models
Vibration
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Summary:Compared with continuous-time memristor (CM), discrete memristor (DM) has not been received adequate attention. In this paper, a new n- dimensional generalized DM model is proposed based on the discrete theory. Two 2-D discrete mathematical models satisfying the three fingerprints characteristics of memristors are designed. Applying the mathematical model into the Sine map yields a new hyperchaotic map called discrete memristor-based Sine (DM-S) map. The DM-S map has a line of fixed points, and its dynamical behaviors including nonparametric bifurcation and hyperchaos are explored by phase diagrams, bifurcation diagrams, and Lyapunov exponent spectrums. The i – v characteristics of the DM and the attractors of the DM-S map are implemented by digital signal processor. In addition, the sequences of map are tested by using SP800-22 NIST software.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-021-06544-7