Generalized synchronization of non-autonomously discrete time chaotic system

Liu, Ting; Lee, Min; Cao, Li Jun

doi:10.1109/icccas.2010.5581874

Cited by 2 publications

(3 citation statements)

References 21 publications

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“…Theorem 2: ( [21]) Let X, Y, X , (X, ) and (Y, X, ) and be defined by Theorem 1, and = ( , ) ∈ ℝ × such the spectrum of : ( ) < 1 then following two systems are in GS with respect to the transformation : …”

Section: Definition and Gs Theoremsmentioning

confidence: 99%

Design of Non-autonomous Chaotic Generalized Synchronization Based Pseudorandom Number Generator with Application in Avalanche Image Encryption

Liu¹,

Lee

2014

2014 IEEE 17th International Conference on Computational Science and Engineering

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Based on a generalized synchronization (GS) theorem of non-autonomous discrete chaotic systems, this paper introduces a 6-dimensional non-autonomous discrete chaotic GS system. Simulations show that the trajectories of the GS system have significant characteristics of chaotic attractor. Using the GS system designs a 2 16 number string chaotic pseudorandom number generator (CPRNG). SP-800 randomness test showed that the CPRNG has sound pseudorandomness. Correlation analysis shows that the key space of the CPRNG is larger than 2 1116 . Using the CPRNG and a stream encryption scheme with avalanche effect (SESAE) encrypts an RGB image with 250 × 140 pixels. The results suggest that the CPRNG is able to generate the avalanche effects which are similar to those generated via ideal CPRNGs.

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Section: Definition and Gs Theoremsmentioning

confidence: 99%

Design of Non-autonomous Chaotic Generalized Synchronization Based Pseudorandom Number Generator with Application in Avalanche Image Encryption

Liu¹,

Lee

2014

2014 IEEE 17th International Conference on Computational Science and Engineering

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“…, +1000 } . (38) (3) Drop the first 1000 iterative values, use the formula (33) and (34) to encrypt the plaintext stream , and then obtain a ciphertext…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

“…This paper extends the concept of the generalized synchronization [38] to generalized stability (GST) for discretetime nonautonomous chaos system (DNCS), and then we propose a corresponding GST theorem. Using the GST theorem helps design a novel nonautonomous chaotic discrete system and construct a chaos-based pseudorandom number generator (CPRNG).…”

Section: Introductionmentioning

confidence: 99%

A Generalized Stability Theorem for Discrete-Time Nonautonomous Chaos System with Applications

Zhang

Wang

Lee

et al. 2015

Mathematical Problems in Engineering

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Firstly, this study introduces a definition of generalized stability (GST) in discrete-time nonautonomous chaos system (DNCS), which is an extension for chaos generalized synchronization. Secondly, a constructive theorem of DNCS has been proposed. As an example, a GST DNCS is constructed based on a novel 4-dimensional discrete chaotic map. Numerical simulations show that the dynamic behaviors of this map have chaotic attractor characteristics. As one application, we design a chaotic pseudorandom number generator (CPRNG) based on the GST DNCS. We use the SP800-22 test suite to test the randomness of four 100-key streams consisting of 1,000,000 bits generated by the CPRNG, the RC4 algorithm, the ZUC algorithm, and a 6-dimensional CGS-based CPRNG, respectively. The numerical results show that the randomness performances of the two CPRNGs are promising. In addition, theoretically the key space of the CPRNG is larger than 21116. As another application, this study designs a stream avalanche encryption scheme (SAES) in RGB image encryption. The results show that the GST DNCS is able to generate the avalanche effects which are similar to those generated via ideal CPRNGs.

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Generalized synchronization of non-autonomously discrete time chaotic system

Cited by 2 publications

References 21 publications

Design of Non-autonomous Chaotic Generalized Synchronization Based Pseudorandom Number Generator with Application in Avalanche Image Encryption

Design of Non-autonomous Chaotic Generalized Synchronization Based Pseudorandom Number Generator with Application in Avalanche Image Encryption

A Generalized Stability Theorem for Discrete-Time Nonautonomous Chaos System with Applications

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