Firing multistability in a locally active memristive neuron model

Lin, Hairong; Wang, Chunhua; Sun, Yichuang; Yao, Wei

doi:10.1007/s11071-020-05687-3

Cited by 178 publications

(59 citation statements)

References 65 publications

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“…In 2008, HP developed the physical memristor based on titanium dioxide for the first time in the laboratory [46]. Since then, the memristor has been increasingly valued by academia and industry [47][48][49][50][51]. As a nonlinear part of chaotic systems, memristors can improve the randomness and complexity of signals in chaotic systems and reduce the physical size of systems.…”

Section: Introductionmentioning

confidence: 99%

Chaos‐Based Engineering Applications with a 6D Memristive Multistable Hyperchaotic System and a 2D SF‐SIMM Hyperchaotic Map

Qian

Chen

et al. 2021

Complexity

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In recent years, the research of chaos theory has developed from simple cognition and analysis to practical engineering application. In particular, hyperchaotic systems with more complex and changeable chaotic characteristics are more sensitive and unpredictable, so they are widely used in more fields. In this paper, two important engineering applications based on hyperchaos pseudorandom number generator (PRNG) and image encryption are studied. Firstly, the coupling 6D memristive hyperchaotic system and a 2D SF-SIMM discrete hyperchaotic mapping are used as the double entropy source structure. The double entropy source structure can realize a new PRNG that meets the security requirements, which can pass the NIST statistical test when the XOR postprocessing method is used. Secondly, based on the double entropy source structure, a new image encryption algorithm is proposed. The algorithm uses the diffusion-scrambling-diffusion encryption scheme to realize the conversion from the original plaintext image to the ciphertext image. Finally, we analyze the security of the proposed PRNG and image encryption mechanism, respectively. The results show that the proposed PRNG has good statistical output characteristics and the proposed image encryption scheme has high security, so they can be effectively applied in the field of information security and encryption system.

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Section: Introductionmentioning

confidence: 99%

Chaos‐Based Engineering Applications with a 6D Memristive Multistable Hyperchaotic System and a 2D SF‐SIMM Hyperchaotic Map

Qian

Chen

et al. 2021

Complexity

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“…Recently, chaotic systems have attracted wide attention from researchers due to their own particularities and their vast application potential in the memristor [1][2][3][4], random number generator [5,6], secure communication [7][8][9], image encryption [10][11][12][13][14], and artificial neural network [15][16][17][18][19][20]. How to increase the complexity of a chaotic system and generate complex chaotic attractors to make it hard to encipher information in encryption system applications has become a field of interest for researchers both in and outside China.…”

Section: Introductionmentioning

confidence: 99%

Basin of Attraction Analysis of New Memristor‐Based Fractional‐Order Chaotic System

Ding

Cui

2021

Complexity

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Memristor is the fourth basic electronic element discovered in addition to resistor, capacitor, and inductor. It is a nonlinear gadget with memory features which can be used for realizing chaotic, memory, neural network, and other similar circuits and systems. In this paper, a novel memristor-based fractional-order chaotic system is presented, and this chaotic system is taken as an example to analyze its dynamic characteristics. First, we used Adomian algorithm to solve the proposed fractional-order chaotic system and yield a chaotic phase diagram. Then, we examined the Lyapunov exponent spectrum, bifurcation, SE complexity, and basin of attraction of this system. We used the resulting Lyapunov exponent to describe the state of the basin of attraction of this fractional-order chaotic system. As the local minimum point of Lyapunov exponential function is the stable point in phase space, when this stable point in phase space comes into the lowest region of the basin of attraction, the solution of the chaotic system is yielded. In the analysis, we yielded the solution of the system equation with the same method used to solve the local minimum of Lyapunov exponential function. Our system analysis also revealed the multistability of this system.

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“…Locally-active memristor (LAM) is the memristor with negative memristance under a certain voltage crossed or the memristor with negative memductance under a certain current crossed [16][17][18]. It is uncovered that local activity is essential for nonlinear system to keep oscillation and amplify weak fluctuation signal.…”

Section: Introductionmentioning

confidence: 99%

A S-Type Bistable Locally-Active Memristor and Its Application in Oscillator Circuit

Xie

et al. 2021

Preprint

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In this paper, a S-type memristor with tangent nonlinearity is proposed. The introduced memristor can generate two kinds of stable pinched hysteresis loops with initial conditions from two flanks of the initial critical point. The power-off plot verifies that the memristor is nonvolatile, and the DC V-I plot shows that the memristor is locally active with the locally-active region symmetrical about the origin. The equivalent circuit of the memristor, derived by small-signal analysis method, is used to study the dynamics near the operating point in the locally-active region. Owing to the bistable and locally-active properties and S-type DC V-I curve, this memristor is called S-type BLAM for short. Then, a new Wien-bridge oscillator circuit is designed by substituting one of its resistances with S-type BLAM. It find that the circuit system can produce chaotic oscillation and complex dynamic behavior, which is further confirmed by analog circuit experiment.

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Firing multistability in a locally active memristive neuron model

Cited by 178 publications

References 65 publications

Chaos‐Based Engineering Applications with a 6D Memristive Multistable Hyperchaotic System and a 2D SF‐SIMM Hyperchaotic Map

Chaos‐Based Engineering Applications with a 6D Memristive Multistable Hyperchaotic System and a 2D SF‐SIMM Hyperchaotic Map

Basin of Attraction Analysis of New Memristor‐Based Fractional‐Order Chaotic System

A S-Type Bistable Locally-Active Memristor and Its Application in Oscillator Circuit

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