Steady periodic memristor oscillator with transient chaotic behaviours

Bao, Bocheng; Liu, Zhubo; Xu, Jianping

doi:10.1049/el.2010.3114

Cited by 161 publications

(95 citation statements)

References 4 publications

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“…Assume that the fluxcontrolled memristor is characterized by the mathematical model of a smooth continuous cubic monotone-increasing nonlinearity [15] …”

Section: The Fourth-order Memristor-based Hyperchaotic Systemmentioning

confidence: 99%

“…Itoh and Chua [14] derived several nonlinear oscillators from Chua's oscillators by replacing Chua's diodes with memristors. Bao et al [15,16] studied the complicated dynamical behaviors of the memristor oscillators. Although various memristor-based chaotic systems have been researched in recent years [17][18][19], the research of synchronization between two memristor-based hyperchaotic systems is rarely reported.…”

Section: Introductionmentioning

confidence: 99%

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Sandwich synchronization of memristor-based hyperchaos systems with time delays

Xiong

et al. 2018

Adv Differ Equ

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In this paper, a memristor-based hyperchaotic system is introduced. Considering time delays between the drive system and the response system in the process of synchronization, this paper designs one kind of flexible sandwich controller, which includes a rest in the sandwich structure, to realize the synchronization between two memristor-based hyperchaotic systems. Based on Lyapunov stability theory, matrix inequality, sandwich control and considering time delays, the exponential synchronization conditions for the memristor-based hyperchaotic systems with time delays via sandwich control are given. Finally, simulation results are displayed to verify the effectiveness and feasibility of this method.

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“…Assume that the fluxcontrolled memristor is characterized by the mathematical model of a smooth continuous cubic monotone-increasing nonlinearity [15] …”

Section: The Fourth-order Memristor-based Hyperchaotic Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Sandwich synchronization of memristor-based hyperchaos systems with time delays

Xiong

et al. 2018

Adv Differ Equ

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“…In this section, detailed dynamical behaviors of the proposed memristive circuit are analyzed by utilizing several conventional dynamical methods [1,2,[9][10][11][12], in which the circuit parameters are set as illustrated in Table 1, and L is selected as a varying parameter.…”

Section: Complex Dynamics In the Memristive Chaotic Circuitmentioning

confidence: 99%

A Memristive Diode Bridge-Based Canonical Chua’s Circuit

Chen

et al. 2014

Entropy

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Abstract:A novel memristor circuit is presented, which is generated from the canonical Chua's circuit by replacing the Chua's diode with a first order memristive diode bridge. The circuit dynamical characteristics with the variations of circuit parameters are investigated both theoretically and numerically. It can be found that the circuit has three determined equilibrium points, including a zero saddle point and two nonzero saddle-foci with index 2. Specially, the circuit is non-dissipative in the neighborhood of the zero saddle point, and there exists complex nonlinear phenomena of coexisting bifurcation modes and coexisting chaotic attractors. Experimental observations are performed to verify the numerical simulation results.

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“…Last five years, the research of circuits containing memristor is becoming a hot topic in the circuit theory and chaos. Over this period, chaotic attractor has been observed in many autonomous memristor based chaotic circuits and many authors papers uses a passive nonlinearity based on memristor [4][5][6][7][8][9][10][11][12][13]. Chaotic oscillator containing memristor still attracts attention.…”

Section: Introductionmentioning

confidence: 99%

“…One of the first memristor based chaotic circuit was proposed by Itoh and Chua in 2008 [4]. In this case and many others, memristor represents nonlinear function (eg Chua's diode) and together with other elements (eg resistors, capacitors and inductors) is possible to realize a simple chaotic oscillators [4,5,8,11,12,14]. Many others authors also deals with modeling and realization of memristor [15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Analysis and Synthesis of Chaotic Circuits using Memristor Properties

Hrubos

Götthans

2014

Journal of Electrical Engineering

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This paper provides an innovative practical realization of a memristor based chaotic circuit. The first part discusses the mathematical analysis of the proposed system, including calculation of an eigenvalues, bifurcation diagram and largest Lyapunov exponents. Another parts deal with circuitry realization and the influence of parasitic properties of active elements. The circuit simulations obtained by PSpice environment and the practical measurement results on a breadboard are presented in the last part of this paper. The main aim of this work is an innovative realization of the memristor based chaotic circuit with one type of energy-storage element (linear passive capacitor) and with simpler construction in comparison to other circuits. The next contribution consists in verification of designed circuit with respect to influence of parasitic properties of active elements to chaos destruction. K e y w o r d s: differential equations,

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Steady periodic memristor oscillator with transient chaotic behaviours

Cited by 161 publications

References 4 publications

Sandwich synchronization of memristor-based hyperchaos systems with time delays

Sandwich synchronization of memristor-based hyperchaos systems with time delays

A Memristive Diode Bridge-Based Canonical Chua’s Circuit

Analysis and Synthesis of Chaotic Circuits using Memristor Properties

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