Analysis and circuitry realization of a novel three-dimensional chaotic system

Abooee, Ali; Yaghini-Bonabi, H. A.; Jahed‐Motlagh, Mohammad Reza

doi:10.1016/j.cnsns.2012.08.036

Cited by 33 publications

(13 citation statements)

References 14 publications

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“…2 Here, a new 3-D fractional order chaotic system is derived for the system (5). The nonlinear term x 2 in the last equation of (5) is replaced by an absolute term jxj and the ordinary derivative is replaced by the fractional derivative.…”

Section: Basic Theory and System Descriptionmentioning

confidence: 99%

Synchronization and an application of a novel fractional order King Cobra chaotic system

Muthukumar

Balasubramaniam

Ratnavelu

2014

Chaos: An Interdisciplinary Journal of Nonlinear Science

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In this paper, we design a new three dimensional King Cobra face shaped fractional order chaotic system. The multi-scale synchronization scheme of two fractional order chaotic systems is described. The necessary conditions for the multi-scale synchronization of two identical fractional order King Cobra chaotic systems are derived through feedback control. A new cryptosystem is proposed for an image encryption and decryption by using synchronized fractional order King Cobra chaotic systems with the supports of multiple cryptographic assumptions. The security of the proposed cryptosystem is analyzed by the well known algebraic attacks. Numerical simulations are given to show the effectiveness of the proposed theoretical results.

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Section: Basic Theory and System Descriptionmentioning

confidence: 99%

Synchronization and an application of a novel fractional order King Cobra chaotic system

Muthukumar

Balasubramaniam

Ratnavelu

2014

Chaos: An Interdisciplinary Journal of Nonlinear Science

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“…The four-dimensional Lorenz-Stenflo system can be modeled by an electronic circuit [18][19][20][21]. The main electronic components in the circuit are integrated amplifiers and inverting amplifiers.…”

Section: Electronic Circuit Implementationmentioning

confidence: 99%

Nonlinear Dynamic Analysis and Synchronization of Four-Dimensional Lorenz-Stenflo System and Its Circuit Experimental Implementation

Yang

2014

Abstract and Applied Analysis

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Recently many chaotic systems’ circuits are designed to generate phenomenon of chaos signals. The ability to synchronize chaotic circuits opens a great number of ways to use them in application signals masking. In this paper, first a new nonlinear chaotic dynamical system had be design, analyze and build circuit. Second, using GYC, partial region stability theory is applied to adaptive control for two identical chaotic systems with uncertain parameters. The results of numerical simulation are performed to verify examples of the proposed nonlinear controllers.

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“…Kaotik sistemlerin çok karmaşık olmayan devre yapılarına sahip olmalarına rağmen ilginç dinamik özelliklere sahip olmaları, son yıllarda kaotik sistemlere olan ilgiyi oldukça arttırmıştır [7][8][9].…”

Section: Introductionunclassified

Real time hardware implementation of the 3D chaotic oscillator which having golden-section equilibra

Tuna

Fidan

Koyuncu

et al. 2016

2016 24th Signal Processing and Communication Application Conference (SIU)

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Özetçe-Bu çalışmada, son yıllarda literatüre sunulan altın oran denge noktalarına sahip, sürekli zamanlı, otonom, üç boyutlu bir kaotik sistem, FPGA üzerinde ilk defa ayrık zamanlı olarak gerçeklenmiştir. Yapılan tasarımda, üç boyutlu kaotik sistem, 32 bit IQ-Math (16I-16Q) sabit noktalı sayı formatında, Heun algoritması kullanılarak VHDL dilinde kodlanmıştır. Tasarlanan sistem Xilinx ISE tasarım aracı kullanılarak Virtex-6 FPGA çipinde sentezlenmiş ve test edilmiştir. Test sonuçlarına göre FPGA-tabanlı yeni kaotik işaret üretecinin çalışma frekansı 406.736 MHz olarak belirlenmiştir. Ayrıca yeni kaotik osilatörün, Xilinx ISE tasarım aracı üzerinde yapılan "Route&Place" işleminin ardından, elde edilen çip istatistikleri ve performans sonuçları sunulmuştur. FPGA üzerinde sabit noktalı sayı formatıyla gerçekleştirilen kaotik osilatör tasarımının, kayan noktalı sayı standardına göre daha az çip donanımı kullandığı ve çalışma frekansının daha yüksek olduğu gösterilmiştir. Anahtar Kelimeler-Kaos;Kaotik sistem; FPGA; VHDL.Abstract-In this study, the continuous-time, autonomous, 3D chaotic system having golden-section equilibra which is recently presented in the literature is implemented firstly as discrete time on an FPGA. In this design, the 3D chaotic system was programmed in 32-bit IQ-Math (16I-16Q) fixed-point number format using VHDL and Heun algorithm. The designed system has been synthesized and tested, using Xilinx ISE design tool, on Virtex-6 FPGA chip. According to the test results, operation frequency of the FPGA-based new chaotic signal generator is certain as 406.736MHz. In addition, chip statistics and performance results of the new chaotic oscillator are presented after the "Route&Place" processes performed on Xilinx ISE design tool. The chaotic oscillator design realized with fixed-point number format on FPGA has been shown to be use lesser chip hardware and higher operating frequency compared to the floating-point standard.

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Analysis and circuitry realization of a novel three-dimensional chaotic system

Cited by 33 publications

References 14 publications

Synchronization and an application of a novel fractional order King Cobra chaotic system

Synchronization and an application of a novel fractional order King Cobra chaotic system

Nonlinear Dynamic Analysis and Synchronization of Four-Dimensional Lorenz-Stenflo System and Its Circuit Experimental Implementation

Real time hardware implementation of the 3D chaotic oscillator which having golden-section equilibra

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