Minimal digital chaotic system

Nepomuceno, Erivelton G.; Lima, Antonio C. S.; Arias-García, Janier; Perc, Matjaž; Repnik, Robert

doi:10.1016/j.chaos.2019.01.019

Cited by 26 publications

(18 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Because of its strength, chaotic cryptography is preferred over conventional cryptography 12 . Several chaotic functions are discussed in 5,13‐22 . A Logistic map is one of the simple 1D‐chaotic functions.…”

Section: Preliminariesmentioning

confidence: 99%

“…As chaotic real sequences can not be directly used to encrypt digital data; the generated chaotic real sequences must be binarized. In References 5,7,22,26 many different techniques to convert chaotic real sequences into binary sequences are proposed. Among them, one of the simple techniques to convert chaotic real sequence to binary sequence is the thresholding technique, which is defined by Equation ().…”

Section: Preliminariesmentioning

confidence: 99%

See 1 more Smart Citation

Generation of chaotic random binary sequences for cryptographic applications

Sheela¹,

Sathyanarayana²

2021

Concurrency and Computation

View full text Add to dashboard Cite

In stream cipher systems, random key sequence generation is the primary task. The concept of chaotic systems can be considered in generating a random key sequence due to its inherent randomness property. Though the chaotic real sequences are random, the randomness will be lost after converting them to binary sequences. In this context, the authors propose a technique which uses a non‐linear feedback system to enhance the randomness of the binary sequences. In this work, three binary chaotic sequences using a logistic map are generated with three different initial conditions and each real value of the chaotic sequence is converted to ‘k’ bit binary value using a thresholding function. Some of the resulting sequences are not random. Hence, in this article a non‐linear structure is used to make the resulting sequence random. Here, a non‐linear function similar to the structure of the Simplified Data Encryption Standard is used to generate a sequence using two non‐random chaotic binary sequences. The resulting sequence is XORed with another non‐random chaotic binary sequence to get a random sequence. Sequences obtained from this nonlinear system are subjected to randomness tests and the results indicate that the sequences pass all the randomness tests. Hence, the sequences qualify as random key sequences, which can be used in a stream cipher based system to encrypt the data samples like audio, image, video, and so forth.

show abstract

Section: Preliminariesmentioning

confidence: 99%

Section: Preliminariesmentioning

confidence: 99%

Generation of chaotic random binary sequences for cryptographic applications

Sheela¹,

Sathyanarayana²

2021

Concurrency and Computation

View full text Add to dashboard Cite

show abstract

“…(1) utilizou-se µ = 2 que, sendo potência de 2, permite realizar a multiplicação aritmética mediante apenas um registrador de deslocamento. Assim, digitalmente, o mapa tendaé representado como: O próximo passo será a implementação desse projeto em FPGA, plataforma flexível para montagem de circuitos digitais, e a aplicação do circuito projetado na criptografia e controle, tal como feito por Nepomuceno et al (2019).…”

Section: Metodologiaunclassified

Simplificação da representação digital do mapa tenda por meio de ponto fixo polarizado

Teixeira

Basilio

Nepomuceno

et al. 2019

Anais Do 14º Simpósio Brasileiro De Automação Inteligente

View full text Add to dashboard Cite

Chaotic systems have been investigated in several areas of engineering. In control theory, such systems have instigated the emergence of new techniques as well, have been used as a source of noise generation. The application of chaotic systems as pseudo-random numbers has also been widely employed in cryptography. One of the central aspects of these applications in high performance situations, such as those involving a large amount of data (Big Data), is the response of these systems in a short period of time. Despite the great advances in the design of chaotic systems in analog circuits, it is perceived less attention in the optimized design of these systems in the digital domain. In this work, the polarized fixed point representation is applied to reduce the number of digital elements. Using this approach, it was possible to significantly reduce the number of logic gates in the subtraction operation. When compared to other works in the literature, it has been viable to reduce by 50 % the number of elements per bit of the digital representation of the tent map. The chaoticity was evidenced with the calculation of the Lyapunov exponent. Histogram, entropy and autocorrelation tests were used satisfactorily to evaluate the randomness of the represented system. Resumo: Sistemas caóticos têm sido investigados em diversasáreas da engenharia. Na teoria de controle, tais sistemas têm instigado o surgimento de novas técnicas, bem como, têm sido utilizados como fonte de geração de ruído. A aplicação de sistemas caóticos como números pseudo-aleatórios também tem sido largamente empregada em criptografia. Um dos aspectos centrais nessas aplicações em situações que exigem alto desempenho, como as que envolvem um grande volume de dados (Big Data),é a resposta desses sistemas em um curto intervalo de tempo. Apesar de grandes avanços na concepção de sistemas caóticos em circuitos analógicos, percebese uma menor atenção no projeto otimizado desses sistemas no domínio digital. Neste trabalho, aplica-se a representação de ponto fixo polarizado para reduzir o número de componentes lógicos. Com tal emprego, foi possível reduzir significativamente o número de portas lógicas na operação de subtração. Quando comparado com outros trabalhos na literatura, foi possível reduzir em 50% o número de componentes por bit da representação digital do mapa tenda. A caoticidade foi evidenciada com o cálculo do expoente de Lyapunov. Histograma, entropia e teste de autocorrelação foram empregados satisfatoriamente para avaliar a aleatoriedade do sistema representado.

show abstract

“…Due to their valuable characteristics, chaotic systems have long attracted the consideration of investigators worldwide [1][2][3]. The nonlinear, aperiodic and unstable characteristics of these systems result in their widespread applications in various fields, including secure communication [4,5].…”

Section: Introductionmentioning

confidence: 99%

A Disturbance-Observer-Based Sliding Mode Control for the Robust Synchronization of Uncertain Delayed Chaotic Systems: Application to Data Security

et al. 2021

View full text Add to dashboard Cite

This paper proposes a disturbance observer-based Sliding Mode Control (SMC) approach for the robust synchronization of uncertain delayed chaotic systems. This is done by, first, examining and analyzing the electronic behavior of the master and slave Sprott chaotic systems. Then, synthesizing a robust sliding mode control technique using a newly proposed sliding surface that encompasses the synchronization error between the master and slave. The external disturbances affecting the system were estimated using a disturbance observer. The proof of the semi-globally bounded synchronization between the master and slave was established using the Lyapunov stability theory. The efficiency of the proposed approach was first assessed using a simulation study, then, experimentally validated on a data security system. The obtained results confirmed the robust synchronization properties of the proposed approach in the presence of timedelays and external disturbances. The experimental validation also confirmed its ability to ensure the secure transfer of data. INDEX TERMS Sliding mode control; robust synchronization control; chaotic systems; disturbance observer; data security.

show abstract

Minimal digital chaotic system

Cited by 26 publications

References 28 publications

Generation of chaotic random binary sequences for cryptographic applications

Generation of chaotic random binary sequences for cryptographic applications

Simplificação da representação digital do mapa tenda por meio de ponto fixo polarizado

A Disturbance-Observer-Based Sliding Mode Control for the Robust Synchronization of Uncertain Delayed Chaotic Systems: Application to Data Security

Contact Info

Product

Resources

About