A Conditional Symmetric Memristive System With Infinitely Many Chaotic Attractors

Gu, Jiacheng; Li, Chunbiao; Chen, Yudi; Iu, Herbert Ho Ching; Lei, Tengfei

doi:10.1109/access.2020.2966085

Cited by 49 publications

(10 citation statements)

References 32 publications

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“…In fact, among items with memristive properties, the pinched hysteresis loops are asymmetric about the origin [11], [12]. Meanwhile, the wave of researches on the phenomenon of symmetric circuit topology in dynamical systems has been stirred [13]- [17]. Symmetric memristive diode bridge emulator has been widely employed in nonlinear circuit design.…”

Section: Figure 1 the Relationships Among The Four Fundamental Variablesmentioning

confidence: 99%

Diverse Bursting Oscillations in an Asymmetric Memristive Sallen-Key Filter

et al. 2023

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The asymmetric memristive diode bridge-based the Sallen-Key Filter (AMSKF) achieved by introducing an asymmetry diode bridge connected with a capacitor and an inductor to the Sallen-Key Filter, is studied in this paper. Through the analysis of equilibrium point, the stability of the circuit is discussed. Combined with the bifurcation diagram, it can be seen that the negative feedback gain of the Sallen-Key Filter greatly affects the dynamics of the circuit. Diverse dynamic behaviors are discovered by means of phase portraits and Lyapunov exponents, which include six types of typical oscillating behaviors: Period, Quasi-period, Quasi-periodic bursting, Period-2 bursting, Chaotic bursting and Period-1 bursting. Especially, bifurcation mechanisms of various bursting oscillating behaviors are researched by separating the formal equations into two parts, consisting of the fast spiking subsystem and the slow spiking subsystem, based on the fast-slow analysis method. Finally, Multisim experiments are carried out to validate the results of numerical simulations. Compared with the Sallen-Key Filter cascaded with the symmetric memristive diode bridge, bursting oscillating behaviors with larger amplitude and wider periodic range are obtained.

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Section: Figure 1 the Relationships Among The Four Fundamental Variablesmentioning

confidence: 99%

Diverse Bursting Oscillations in an Asymmetric Memristive Sallen-Key Filter

et al. 2023

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“…From Figure 2(a), according to equations (1), (2), and (5) and above assumptions about variables and parameters, the simplified differential equations can be obtained as follows:…”

Section: Proposed Mathematical Model Of Two Vertically Connected Openmentioning

confidence: 99%

“…Nonlinear characteristics exist in systems with various research directions, such as chaotic circuit [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15], neural network [16][17][18][19][20][21], image encryption [22][23][24][25]. Natural ventilation also has nonlinear characteristics.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Analysis of Solution Multiplicity of Buoyancy Ventilation in Two Vertically Connected Open Cavities with Unequal Heights

Wang

Wei

2020

Complexity

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Solution multiplicity of natural ventilation in buildings is of much importance for personnel safety and ventilation design. In this paper, a new mathematical model of buoyancy pressure ventilation for two vertically connected open cavities is presented. Compared with the previous published papers studying two vertically connected open cavities with equal heights and hot source E2 < 0 in the upper room, we study two vertically connected open cavities with unequal heights and hot source E2 < 0 or E2 > 0 in the upper room. By solving and analyzing the equilibrium points and characteristic roots of the differential equations, we analyze the stability of two systems with upward flow pattern and downward pattern and obtain the criteria to determine the stability and existence of solutions for two scenarios. According to these criteria, the multiple steady states of buoyancy ventilation in two vertically connected open cavities with unequal heights and variable strength of hot sources can be obtained. These criteria can be used to design buoyancy ventilation or natural exhaust ventilation systems in two vertically connected open cavities. Compared with two stable states of buoyancy ventilation existing in two vertically connected open cavities with equal heights in the previously published papers, we find that more stable states and unstable states of buoyancy ventilation exist in two vertically connected open cavities with unequal heights in our paper. Finally, bifurcation diagrams and the phase portraits for the two scenarios are given.

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“…Consequently, the memristor is very suitable for constructing continuous chaotic circuits to generate numerous special behaviors and apply to the engineering applications. So far, many interesting phenomena are reported in the continuous memristor-based chaotic systems, like hyperchaos [9], extremely multistability [10][11][12], hidden attractors [13][14][15] or offset-boosting [16]. In addition, some secure communication applications based memristor-based chaotic systems are constantly proposed [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Parameter identification for discrete memristive chaotic map using adaptive differential evolution algorithm

Peng

Sun

2021

Nonlinear Dyn

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Since the concept of discrete memristor was proposed, more and more scholars began to study this topic. At present, most of the works on the discrete memristor are devoted to the mathematical modeling and circuit implementation, but the research on its synchronization control has not received much attention. This paper focuses on the parameter identification for the discrete memristive chaotic map, and a modified intelligent optimization algorithm named adaptive differential evolution algorithm is proposed. To deal with the complex behaviors of hyperchaos and coexisting attractors of the considered discrete memristive chaotic maps, the identification objective function adopts two special parts: time sequences and return maps. Numerical simulations demonstrate that the proposed algorithm has the best performance among the six existing algorithms, and it can still accurately identify the parameters of the original system under noise interference.

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A Conditional Symmetric Memristive System With Infinitely Many Chaotic Attractors

Cited by 49 publications

References 32 publications

Diverse Bursting Oscillations in an Asymmetric Memristive Sallen-Key Filter

Diverse Bursting Oscillations in an Asymmetric Memristive Sallen-Key Filter

Nonlinear Dynamic Analysis of Solution Multiplicity of Buoyancy Ventilation in Two Vertically Connected Open Cavities with Unequal Heights

Parameter identification for discrete memristive chaotic map using adaptive differential evolution algorithm

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