Dynamical Analysis of Memcapacitor Chaotic System and Its Image Encryption Application

Sun, Junwei; Han, Gaoyong; Wang, Yanfeng

doi:10.1007/s12555-019-0015-7

Cited by 14 publications

(5 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Memcapacitive devices can be realized through the implementation of a variable plate distance and surface area [9], and a metal-insulator transition material in series with a dielectric layer [10]. These physical implementations have greatly promoted the research on the applications of memcapacitor elements [11][12][13]. A memcapacitor-based oscillator can be established by introducing a memcapacitor into an existing oscillating circuit or combining it with other circuit elements [14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Extreme Multistability and Its Incremental Integral Reconstruction in a Non-Autonomous Memcapacitive Oscillator

et al. 2022

View full text Add to dashboard Cite

Extreme multistability has frequently been reported in autonomous circuits involving memory-circuit elements, since these circuits possess line/plane equilibrium sets. However, this special phenomenon has rarely been discovered in non-autonomous circuits. Luckily, extreme multistability is found in a simple non-autonomous memcapacitive oscillator in this paper. The oscillator only contains a memcapacitor, a linear resistor, a linear inductor, and a sinusoidal voltage source, which are connected in series. The memcapacitive system model is firstly built for further study. The equilibrium points of the memcapacitive system evolve between a no equilibrium point and a line equilibrium set with the change in time. This gives rise to the emergence of extreme multistability, but the forming mechanism is not clear. Thus, the incremental integral method is employed to reconstruct the memcapacitive system. In the newly reconstructed system, the number and stability of the equilibrium points have complex time-varying characteristics due to the presence of fold bifurcation. Furthermore, the forming mechanism of the extreme multistability is further explained. Note that the initial conditions of the original memcapacitive system are mapped onto the controlling parameters of the newly reconstructed system. This makes it possible to achieve precise control of the extreme multistability. Furthermore, an analog circuit is designed for the reconstructed system, and then PSIM circuit simulations are performed to verify the numerical results.

show abstract

Section: Introductionmentioning

confidence: 99%

Extreme Multistability and Its Incremental Integral Reconstruction in a Non-Autonomous Memcapacitive Oscillator

et al. 2022

View full text Add to dashboard Cite

show abstract

“…Thus, the results proposed in this work are beneficial to those areas which the circuit elements with memory are involved, e.g. the analysis and designing of chaotic oscillators (Atan, 2020; Sun et al , 2020; Li et al , 2021; Liu et al , 2021), the chaotic system-based power management of networks of oscillators (Bucolo et al , 2021) and neuromorphic circuits and neural networks (Guo et al , 2020; Oshio et al , 2021; Sun et al , 2021; Xu et al , 2021).…”

Section: Discussionmentioning

confidence: 99%

Generic analytical models of memelement and inverse memelement with time-dependent memory effects

Banchuin

2023

COMPEL

View full text Add to dashboard Cite

Purpose The purpose of this paper is to originally present the generic analytical models of memelement and inverse memelement with time-dependent memory effect. Design/methodology/approach The variable order forward Grünwald–Letnikov fractional derivative and the memristor and inverse memristor models proposed by Fouda et al. have been adopted as the basis. Both analytical and numerical studies have been conducted. The applications to the candidate practical memristor and inverse memelements have also been presented. Findings The generic analytical models of memelement and inverse memelement with time-dependent memory effect, the simplified ones for DC and AC signal-based analyses and the equations of crucial parameters have been derived. Besides the well-known opposite relationships with frequency, the Lissajous patterns of memelement and inverse memelement also use the opposite relationships with the time. The proposed models can be well applied to the practical elements. Originality/value To the best of the authors’ knowledge, for the first time, the models’ memelement and inverse memelement with time-dependent memory effect have been presented. A new contrast between these elements has been discovered. The resulting models are applicable to the practical elements.

show abstract

“…The adjacent pixels of the image has a very strong correlation [13][14][15][16][17], and the traditional DES, AES and other algorithms [18] cannot eliminate this correlation, and the efficiency of these algorithms is very low. Currently, many image protection algorithms have been proposed, such as image watermarking technology, image encryption technology, and image steganography technology [19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

1D Sine-Map-Coupling-Logistic-Map for 3D model encryption

Wang²,

Zhang³

2022

Front. Phys.

View full text Add to dashboard Cite

With the rise of technologies of VR technology, AR technology, and 3D printing, the application of 3D models has become more and more extensive. The data of the 3D model is the floating point and has a unique storage format, and the traditional 2D image encryption algorithms are unsuitable for 3D models. Therefore, based on 1D Sine-Map-Coupling-Logistic-Map (1D-SMCLM), a 3D model encryption algorithm is designed in this paper. The 1D-SMCLM is a new chaotic system with large parameter space and good chaotic characteristics. The keystream generated by the 1D-SMCLM has good randomness and is very suitable for cryptographic systems. In the new encryption algorithm (SMCLM-3ME), the vertices of the 3D models are divided into integer and decimal vertices. The integer part is encrypted by the strategy of simultaneous scrambling and diffusion. The 3D ciphertext model is obtained by combining the integer and fractional parts. Experimental results show that the SMCLM-IE exhibits excellent performance.

show abstract

Dynamical Analysis of Memcapacitor Chaotic System and Its Image Encryption Application

Cited by 14 publications

References 23 publications

Extreme Multistability and Its Incremental Integral Reconstruction in a Non-Autonomous Memcapacitive Oscillator

Extreme Multistability and Its Incremental Integral Reconstruction in a Non-Autonomous Memcapacitive Oscillator

Generic analytical models of memelement and inverse memelement with time-dependent memory effects

1D Sine-Map-Coupling-Logistic-Map for 3D model encryption

Contact Info

Product

Resources

About