A memristive conservative chaotic circuit with two different offset boosting behaviors

Du, Chuanhong; Liu, Licai; Zhang, Zhengping; Yu, Shixing

doi:10.1016/j.aeue.2022.154146

Cited by 23 publications

(9 citation statements)

References 70 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…At the same time, they proved that the system is non-Hamiltonian conservative [14]. Reference [18] reported the dynamic behavior of homogeneous or heterogeneous multistability of a memristor conservative chaotic system accompanied by initial-dependent offset boosting behavior and gave a digital DSP implementation. Only a few conservative systems have been implemented using FPGA or DSP digital hardware due to the constant size of the conservative system and the high requirements for digital circuits.…”

Section: Introductionmentioning

confidence: 95%

A conservative system based on a triangular wave memristor and its application in image encryption

Liu

Zhang

et al. 2023

Preprint

Self Cite

View full text Add to dashboard Cite

Reconstruction techniques can capture the attractor data of dissipative chaotic systems, which will lead to a threat to the security of the cryptosystem. Since conservative chaotic systems do not form chaotic attractors, they can avoid the defects of the dissipative system and resist attacks. This paper aims to construct a new type of active charge-controlled memristor based on a triangular wave and apply it to build a non-Hamiltonian globally conservative circuit, the characteristic roots of which are all on the imaginary axis. The system is critically stable and presents extremely high sensitivity to the initial values, exhibiting heterogeneous multistability and homogeneous multistability with local amplitude modulation. This special multistability is of great significance to engineering applications. In addition, as the hardware accuracy is limited and only a few conservative systems have been implemented digitally, the DSP platform is employed herein for the physical implementation of the proposed system. In the end, we applied the novel system to a plaintext-related image encryption algorithm. The results show that the system not merely can resist the risk of data reconstruction, but also has excellent random characteristics, and is suitable for encryption.

show abstract

Section: Introductionmentioning

confidence: 95%

A conservative system based on a triangular wave memristor and its application in image encryption

Liu

Zhang

et al. 2023

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…The numerical simulation shows that the oscillation amplitude of the the state variable x of the system exceeds the maximum amplitude of the operational amplifier. Therefore, linear proportional compression is applied to the state variable x, as shown in equation (16). In order to fully match the circuit parameters with the system, the time constant is set to τ 0 = 10 4 .…”

Section: Circuit Implementationmentioning

confidence: 99%

“…It has stronger randomness than a dissipative chaotic system [15]. Hence, conservative systems are more suitable for pseudorandom number generation [16,17] and image encryption [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

A new 3D hidden conservative chaotic system with multistability and its circuit implementation

Wang

Tian

et al. 2023

Phys. Scr.

View full text Add to dashboard Cite

A novel three-dimensional conservative system without an equilibrium point is constructed by replacing the square term x2+y2 in the Vaidyanathan - Sundarapandian oscillator with a simple absolute value term |x|. The system is analyzed in detail by using time-domain waveform plots, bifurcation plots, Lyapunov exponent spectra, spectral entropy (SE), and C0 complexity. It is found that the system has rich dynamic behaviors: multiple phase trajectories can be tuned by only one parameter and multistability due to initial value sensitivity. The system shows that it can yield eight heterogeneous trajectories coexistent at different initial conditions, including periodic, quasi-periodic, and chaotic states. Additionally, the transient behavior was also observed. Finally, the experimental circuit was implemented, verifying both the physical realizability and the rich dynamic behaviors of the proposed system. With high complexity and sensitivity of parameter and initial condition, the proposed system is useful in image encryption and secure communication.

show abstract

“…A nice, novel idea, undoubtedly worth of investigation. The analysis of a fourth-order conservative chaotic system with a flux-controlled kind of memristor is given in paper [152], leading to a fifth-order dynamical system. Verification in the PSIM environment, considering the memristor emulator designed using operational amplifiers, as well as DSP-based implementation is provided.…”

Section: Chaotic Oscillators With Memelementsmentioning

confidence: 99%

Chaos in Analog Electronic Circuits: Comprehensive Review, Solved Problems, Open Topics and Small Example

Petržela

2022

Mathematics

View full text Add to dashboard Cite

This paper strives to achieve a comprehensive review of chaos in analog circuits and lumped electronic networks. Readers will be guided from the beginning of the investigations of simple electronic circuits to the current trends in the research into chaos. The author tries to provide the key references related to this issue, including papers describing modern numerical algorithms capable of localizing chaotic and hyperchaotic motion in complex mathematical models, interesting full on-chip implementations of chaotic systems, possible practical applications of entropic signals, fractional-order chaotic systems and chaotic oscillators with mem-elements.

show abstract

A memristive conservative chaotic circuit with two different offset boosting behaviors

Cited by 23 publications

References 70 publications

A conservative system based on a triangular wave memristor and its application in image encryption

A conservative system based on a triangular wave memristor and its application in image encryption

A new 3D hidden conservative chaotic system with multistability and its circuit implementation

Chaos in Analog Electronic Circuits: Comprehensive Review, Solved Problems, Open Topics and Small Example

Contact Info

Product

Resources

About