A memristor–meminductor-based chaotic system with abundant dynamical behaviors

Birong Xu, Guangyi Wang, Herbert Ho Ching Iu, Simin Yu, Fang Yuan

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, we introduce a memristor model and a meminductor model and design the corresponding emulator circuits for imitating their characteristics. By employing the two models, we propose a very simple chaotic circuit that contains only three elements in parallel: a memristor, a meminductor and a linear passive capacitor. The circuit is very simple, but has very abundant dynamical behaviors, including line equilibrium set, bursting, coexisting attractors, transient chaos, transient period and intermittency. Furthermore, we replace the memristor and meminductor with their corresponding emulators in the proposed circuit to make a hardware experiment, which illustrates the validity of the theoretical analysis.

Original languageEnglish
Pages (from-to)765-788
Number of pages24
JournalNonlinear Dynamics
Volume96
Issue number1
DOIs
Publication statusPublished - 1 Apr 2019

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Chaotic systems
Memristors
Dynamical Behavior
Chaotic System
Networks (circuits)
Chaotic Circuit
Bursting
Intermittency
Capacitor
Attractor
Theoretical Analysis
Chaos
Hardware
Chaos theory
Model
Capacitors
Line
Experiment
Experiments

Cite this

Xu, Birong ; Wang, Guangyi ; Iu, Herbert Ho Ching ; Yu, Simin ; Yuan, Fang. / A memristor–meminductor-based chaotic system with abundant dynamical behaviors. In: Nonlinear Dynamics. 2019 ; Vol. 96, No. 1. pp. 765-788.
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A memristor–meminductor-based chaotic system with abundant dynamical behaviors. / Xu, Birong; Wang, Guangyi; Iu, Herbert Ho Ching; Yu, Simin; Yuan, Fang.

In: Nonlinear Dynamics, Vol. 96, No. 1, 01.04.2019, p. 765-788.

Research output: Contribution to journalArticle

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