Theoretical design and circuit implementation of novel digital chaotic systems via hybrid control

Zheng, Jun; Hu, Hanping; Ming, Hao; Liu, Xiaohui

doi:10.1016/j.chaos.2020.109863

Cited by 9 publications

(2 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The use of chaotic systems, such as Pseudo-Random Number Generators, has recently grown because of the multiple advantages they present over stochastic algorithms [4][5][6][7]. In [8], the authors propose a five-step encryption algorithm.…”

Section: Introductionmentioning

confidence: 99%

From Continuous-Time Chaotic Systems to Pseudo Random Number Generators: Analysis and Generalized Methodology

Micco

Antonelli

Rosso

2021

Entropy

View full text Add to dashboard Cite

The use of chaotic systems in electronics, such as Pseudo-Random Number Generators (PRNGs), is very appealing. Among them, continuous-time ones are used less because, in addition to having strong temporal correlations, they require further computations to obtain the discrete solutions. Here, the time step and discretization method selection are first studied by conducting a detailed analysis of their effect on the systems’ statistical and chaotic behavior. We employ an approach based on interpreting the time step as a parameter of the new “maps”. From our analysis, it follows that to use them as PRNGs, two actions should be achieved (i) to keep the chaotic oscillation and (ii) to destroy the inner and temporal correlations. We then propose a simple methodology to achieve chaos-based PRNGs with good statistical characteristics and high throughput, which can be applied to any continuous-time chaotic system. We analyze the generated sequences by means of quantifiers based on information theory (permutation entropy, permutation complexity, and causal entropy × complexity plane). We show that the proposed PRNG generates sequences that successfully pass Marsaglia Diehard and NIST (National Institute of Standards and Technology) tests. Finally, we show that its hardware implementation requires very few resources.

show abstract

Section: Introductionmentioning

confidence: 99%

From Continuous-Time Chaotic Systems to Pseudo Random Number Generators: Analysis and Generalized Methodology

Micco

Antonelli

Rosso

2021

Entropy

View full text Add to dashboard Cite

show abstract

“…[25] Hu et al constructed digital chaotic systems via hybrid control without random entropy sources added, which were rigorously proven to be chaotic. [26] However, the researches of directly constructing chaos on finite state automata develop slowly. In addition, compared with low-dimensional chaotic systems, higherdimensional chaotic systems have more complex dynamical behaviors, which are usually used to resist the dynamical degradation of chaotic systems.…”

Section: Introductionmentioning

confidence: 99%

A novel method of constructing high-dimensional digital chaotic systems on finite-state automata*

Zheng¹,

Hu²

2020

Chinese Phys. B

Self Cite

View full text Add to dashboard Cite

When chaotic systems are implemented on finite precision machines, it will lead to the problem of dynamical degradation. Aiming at this problem, most previous related works have been proposed to improve the dynamical degradation of low-dimensional chaotic maps. This paper presents a novel method to construct high-dimensional digital chaotic systems in the domain of finite computing precision. The model is proposed by coupling a high-dimensional digital system with a continuous chaotic system. A rigorous proof is given that the controlled digital system is chaotic in the sense of Devaney’s definition of chaos. Numerical experimental results for different high-dimensional digital systems indicate that the proposed method can overcome the degradation problem and construct high-dimensional digital chaos with complicated dynamical properties. Based on the construction method, a kind of pseudorandom number generator (PRNG) is also proposed as an application.

show abstract

A Novel Pseudorandom Number Generator Based on the Conservative Chaotic System with Non-smooth Nonlinearities

Meleshenko,

Semenov,

Kanishcheva

2024

Springer Proceedings in Physics

View full text Add to dashboard Cite

Theoretical design and circuit implementation of novel digital chaotic systems via hybrid control

Cited by 9 publications

References 34 publications

From Continuous-Time Chaotic Systems to Pseudo Random Number Generators: Analysis and Generalized Methodology

From Continuous-Time Chaotic Systems to Pseudo Random Number Generators: Analysis and Generalized Methodology

A novel method of constructing high-dimensional digital chaotic systems on finite-state automata*

A Novel Pseudorandom Number Generator Based on the Conservative Chaotic System with Non-smooth Nonlinearities

Contact Info

Product

Resources

About