Initial-offset-boosted coexisting hyperchaos in a 2D memristive Chialvo neuron map and its application in image encryption

Xu, Quan; Huang, Liping; Wang, Ning; Bao, Han; Wu, Huagan; Chen, Mo

doi:10.1007/s11071-023-08905-w

Cited by 44 publications

(4 citation statements)

References 67 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In order to better understand the initial offset boosting behavior [42,43], we analyze the bifurcation mechanism of system (1), which can be obtained by integrating the fifth equation of system (1) from −∞ to τ, then we can get:…”

Section: Extreme Multistability Based On Initial Offset-boostingmentioning

confidence: 99%

A memristive chaotic system with two dimensional offset boosting and extreme multistability

Li,

Cai,

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

Due to its unique nonlinearity and memory characteristics, memristor is considered one of the most promising partners for designing chaotic systems. In this paper, a memristor is introduced into a nonlinear system to produce complex dynamical behaviors. Symmetric extremely multistability induced by the initial condition of the memristor is observed in the asymmetric system. Attractors are arranged in the phase space by two independent offset boosters, strength cancellation gives birth to various offset boosting patterns. The effective action of the offset controller is reflected in the linear growth of the mean values and the linear shift of the signal diagrams. Moreover, the circuit implementation based on Multisim demonstrates consistency with numerical simulations and theoretical analyses. Finally, the Pseudorandom Number Generator (PRNG), tested through NIST, is developed to validate its high performance in engineering applications.

show abstract

Section: Extreme Multistability Based On Initial Offset-boostingmentioning

confidence: 99%

A memristive chaotic system with two dimensional offset boosting and extreme multistability

Li,

Cai,

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…[27,28] The analysis suggests that this kind of behavior, which can exhibit either identical or diverse topological properties, is further characterized by the presence of numerous attractors located at different positions. [29,30] Recently, researchers like Lin et al have integrated two distinct characteristics of memristors as external stimuli into the HNN, allowing for control over the number of attractors in hyperchaotic systems. [31] Moreover, the constructed high-dimensional system finds its application in brain-like image encryption, thereby demonstrating the impressive complexity inherent in the memristor neural network system.…”

Section: Introductionmentioning

confidence: 99%

Fractional-order heterogeneous memristive Rulkov neuronal network and its medical image watermarking application

Ding 丁,

Niu 牛,

Zhang 张

et al. 2024

Chinese Phys. B

View full text Add to dashboard Cite

This article proposes a novel fractional heterogeneous neural network by coupling a Rulkov neuron with a Hopfield neural network (FRHNN), utilizing memristors for emulating neural synapses. The study firstly demonstrates the coexistence of multiple firing patterns through phase diagrams, Lyapunov exponent spectra (LEs), and bifurcation diagrams. Secondly, the parameter related firing behaviors are described through two-parameter bifurcation diagrams. Subsequently, local attraction basins reveal multi-stability phenomena related to initial values. Moreover, the proposed model is implemented on a microcomputer-based ARM platform, and the experimental results correspond to the numerical simulations. Finally, the article explores the application of digital watermarking for medical images, illustrating its features of excellent imperceptibility, extensive key space, and robust resilience against attacks including noise and cropping.

show abstract

“…For instance, they have developed various systems featuring a single stable equilibrium point [7,8] or no equilibria [9,10], a defined arrangement of equilibria [11,12], instances of multistability [13,14] and symmetry [15,16], hidden [17][18][19] and self-excited [20,21] dynamics, single [22,23] and multi-scroll [24,25] attractors, and even systems exhibiting hyperchaotic behavior [26,27]. In addition to the introduction of novel chaotic systems with unique characteristics, there has been a concerted effort in certain research endeavors to develop modified versions of existing models, each offering its own set of distinctive features and properties [28][29][30]. Furthermore, alongside these explorations into new and adapted chaotic systems, a parallel line of investigation has emerged delving into strategies for controlling chaos in nonlinear dynamics.…”

Section: Introductionmentioning

confidence: 99%

A Novel Chaotic System with Only Quadratic Nonlinearities: Analysis of Dynamical Properties and Stability

Almatroud,

Rajagopal,

Pham

et al. 2024

Mathematics

View full text Add to dashboard Cite

In nonlinear dynamics, there is a continuous exploration of introducing systems with evidence of chaotic behavior. The presence of nonlinearity within system equations is crucial, as it allows for the emergence of chaotic dynamics. Given that quadratic terms represent the simplest form of nonlinearity, our study focuses on introducing a novel chaotic system characterized by only quadratic nonlinearities. We conducted an extensive analysis of this system’s dynamical properties, encompassing the examination of equilibrium stability, bifurcation phenomena, Lyapunov analysis, and the system’s basin of attraction. Our investigations revealed the presence of eight unstable equilibria, the coexistence of symmetrical strange repeller(s), and the potential for multistability in the system.

show abstract

Initial-offset-boosted coexisting hyperchaos in a 2D memristive Chialvo neuron map and its application in image encryption

Cited by 44 publications

References 67 publications

A memristive chaotic system with two dimensional offset boosting and extreme multistability

A memristive chaotic system with two dimensional offset boosting and extreme multistability

Fractional-order heterogeneous memristive Rulkov neuronal network and its medical image watermarking application

A Novel Chaotic System with Only Quadratic Nonlinearities: Analysis of Dynamical Properties and Stability

Contact Info

Product

Resources

About