A strange novel chaotic system with fully golden proportion equilibria and its mobile microcomputer-based RNG application

Özdemir, Akın; Pehlivan, İ̇hsan; Akgül, Akif; Güleryüz, Emre

doi:10.1016/j.cjph.2018.09.021

Cited by 14 publications

(6 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…However, this additional workload eliminates the advantageous aspect of the discrete time chaotic systems. As an alternative to these RNG based on discrete time chaotic systems, various designs based on continuous time chaotic systems are proposed [9], [10], [16], [22], [28]. However, these systems have serious problems.…”

Section: Performance Comparisons and Discussionmentioning

confidence: 99%

A Novel Random Number Generator Based on Fractional Order Chaotic Chua System

Özkaynak¹

2020

ELEKTRON ELEKTROTECH

View full text Add to dashboard Cite

One of the practical applications of chaotic systems is the design of a random number generator. In the literature, generally random number generators are designed using discrete time chaotic systems. The reason for the use of the discrete time chaotic systems in the design architecture is that the latter have a simpler structure than the continuous time chaotic systems. In order to observe chaos in continuous time systems, the system must have at least three degrees. It is shown that for fractional order chaotic systems chaos can be observed even in a lower system degree. The aim of this study is to develop a random number generator using a fractional order chaotic Chua system. The proposed generator is analysed using various randomness tests. The analysis results show that the proposed generator passes the random requirements successfully. On the one hand, this study is important because it demonstrates the practical application of fractional order chaotic systems. On the other hand, it provides an alternative to designs based on discrete time chaotic systems.

show abstract

Section: Performance Comparisons and Discussionmentioning

confidence: 99%

A Novel Random Number Generator Based on Fractional Order Chaotic Chua System

Özkaynak¹

2020

ELEKTRON ELEKTROTECH

View full text Add to dashboard Cite

show abstract

“…where i denotes as imaginary unit. Worthy of note is that these equilibrium points are called fully golden proportion equilibria and the detailed variation of equilibrium points with parameter a can be referred [8].…”

Section: Analyses To the Equilibria Of The Systemmentioning

confidence: 99%

“…Ozdemir et al [8] gave the following strange chaotic system with fully golden proportion equilibrium points:…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of a strange novel chaotic fractional-order system with fully golden proportion equilibria

Wang

Liu

2021

Indian J Phys

View full text Add to dashboard Cite

This paper is focused on a strange novel chaotic fractional-order system with fully golden proportion equilibria. By using the stability theory of fractional-order systems, we give sufficient conditions for local stability of such system around equilibrium point. And then we prove the conditions for the existence of Hopf bifurcation. Moreover, delayed feedback control method is used to control the chaotic behavior of system. The results indicate that the fractional system is more stable than the classical system, where the fractional order a and time delay s play an important role in controlling the chaotic dynamics. Finally, by using Adams-Bashforth-Moulton method, we implement some simulations to substantiate the obtained theoretical results.

show abstract

“…Zaman boyutundaki düzensizlik, başlangıç şartlarına hassas bağımlılık, sınırsız sayıdaki farklı periyodik salınımlar, genlik ve frekansının tespit edilememesi ve sınırlı bir alan içerisinde değişen işaretler kaotik sistemlerin başlıca özelliklerindendir [14]. Günümüzde kaotik sistemlerin kullanıldığı birçok farklı alan mevcuttur [15]. Nüfus dağılımı, finans, mühendislik ve şifreleme kaotiğin en sık kullanıldığı alanlardan bazılarıdır [16].…”

Section: Gi̇ri̇ş (Introduction)unclassified

Doğrusal olmayan yeni bir sistem ile damar görüntülerinin mikrobilgisayar tabanlı olarak şifrelenmesi

Akgül

Yıldız

Boyraz

et al. 2020

Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi

View full text Add to dashboard Cite

 Acquisition of dorsal hand vein images via infrared camera and preprocessing  Designing a new chaoticbased random number generator on a microcomputer  Encryption of vein images on a microcomputer with a new chaotic-based random number generator and securely stored in the databaseIn this study, dorsal hand vein images are encrypted with a new chaotic-based random number generator on a microcomputer and stored securely in the database. In the scope of the study, the images of the dorsal hand vein taken by an infrared camera from the subjects were enhanced through pre-processing methods. A new chaotic-based random number generator has been designed to securely store the hand vein images that can be used in identification systems. The random numbers generated prior to the encryption process were subjected to the most widely accepted NIST-800-22 and ENT tests, and successful results from all tests were obtained. The random numbers obtained from the new chaotic system were subjected to XOR with 65536 pixels starting from the first pixel in the dorsal hand vein image. Chaos-based encryption system performance was evaluated with security analyzes as commonly used in literature such as histogram, correlation, entropy, NPCR, and UACI. It has been shown that hand vein images can be used in mobile identification systems with the help of this proposed encryption modality. Figure A. Histogram analysis of the 8-bit vein image and encrypted vein image.Purpose: The aim of this study is to encrypt hand vein images that vary from person to person on a microcomputer and store them securely in the database. Theory and Methods:The images of the dorsal hand vein taken by an infrared camera from the subjects were enhanced through preprocessing methods A unique random number generator was designed using a new 3D chaotic system in the Raspberry Pi microcomputer. The random numbers obtained from the new chaotic system were subjected to XOR with 65536 pixels starting from the first pixel in the dorsal hand vein image. Results:The vein images were encrypted with the newly designed random number generator and have been successfully passed through various security analyzes. Conclusion:It has been shown that hand vein images can be used in mobile identification systems with the help of this proposed encryption modality.

show abstract

A strange novel chaotic system with fully golden proportion equilibria and its mobile microcomputer-based RNG application

Cited by 14 publications

References 41 publications

A Novel Random Number Generator Based on Fractional Order Chaotic Chua System

A Novel Random Number Generator Based on Fractional Order Chaotic Chua System

Dynamic analysis of a strange novel chaotic fractional-order system with fully golden proportion equilibria

Doğrusal olmayan yeni bir sistem ile damar görüntülerinin mikrobilgisayar tabanlı olarak şifrelenmesi

Contact Info

Product

Resources

About