Chaos-based engineering applications with a 3D chaotic system without equilibrium points

Akgül, Akif; Çalgan, Haris; Koyuncu, İ̇smail; Pehlivan, İ̇hsan; İstanbullu, Ayhan

doi:10.1007/s11071-015-2501-7

Cited by 135 publications

(55 citation statements)

References 69 publications

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“…Finding new chaotic systems and investigating chaos control and chaos synchronization methodologies are attractive topics [12][13][14][15] due to the applications of chaos in various areas such as waveforms of chaotic radar [16], image encryption [17], secure image transmission [18], video encryption design [19], and S-box construction [20].…”

Section: Introductionmentioning

confidence: 99%

Chaos in a System with an Absolute Nonlinearity and Chaos Synchronization

Tamba

Rajagopal

Pham

et al. 2018

Advances in Mathematical Physics

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Section: Introductionmentioning

confidence: 99%

Chaos in a System with an Absolute Nonlinearity and Chaos Synchronization

Tamba

Rajagopal

Pham

et al. 2018

Advances in Mathematical Physics

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“…TRNG, which is a vital element for cryptographic applications, has a fundamental effect on the randomness of the produced numbers and the security of cryptographic applications. From this point of view, TRNG that is designed for use in cryptographic applications should pass the test suites whose reliability is approved by international standards …”

Section: Basic Conceptsmentioning

confidence: 99%

“…From this point of view, TRNG that is designed for use in cryptographic applications should pass the test suites whose reliability is approved by international standards. 54,66,67 The signal values subjected to post processing have a better uniform distribution than raw random bits. As a result, the entropy per random number of DAS increases.…”

Section: True Random Number Generatormentioning

confidence: 99%

A novel high speed Artificial Neural Network–based chaotic True Random Number Generator on Field Programmable Gate Array

Alçın

Koyuncu

Tuna

et al. 2018

Circuit Theory & Apps

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Summary It is well observed that cryptographic applications have great challenges in guaranteeing high security as well as high throughput. Artificial neural network (ANN)–based chaotic true random number generator (TRNG) structure has not been unprecedented in current literature. This paper provides a novel type of high‐speed TRNG based on chaos and ANN implemented in a Xilinx field‐programmable gate array (FPGA) chip. The paper consists of two main parts. In the first part, chaos analyses of Pehlivan‐Uyaroglu_2010 chaotic system (PUCS) have been accomplished to prove that PUCS operates in chaotic regime. So PUCS can be an efficient alternative to the entropy source for classical TRNGs. In the second part, the hardware design of the proposed TRNG has been created using VHDL in Xilinx platform. As a result, the implemented TRNG offers throughput up to 115.794 Mbps. Besides, the generated random numbers have been tested with the FIPS 140‐1 and NIST 800.22 test suites. The high quality of generated true random numbers have been confirmed by passing all randomness tests. The results have shown that the proposed system can provide not only high throughput but also high quality random bit sequences for a wide variety of embedded cryptographic applications.

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“…The hyperchaotic system is studied by using an electronic circuit design. The numerical simulation and the oscilloscope outputs were obtained for the similar shaped phase portraits [28][29][30]. The electronic circuit of the 4D financial system was designed in OrCAD-PSpice.…”

Section: Physical Realization For the 4d Financialmentioning

confidence: 99%

Hopf Bifurcation, Positively Invariant Set, and Physical Realization of a New Four‐Dimensional Hyperchaotic Financial System

Kai

Zhang

Wei

et al. 2017

Mathematical Problems in Engineering

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This paper introduces a new four-dimensional hyperchaotic financial system on the basis of an established three-dimensional nonlinear financial system and a dynamic model by adding a controller term to consider the effect of control on the system. In terms of the proposed financial system, the sufficient conditions for nonexistence of chaotic and hyperchaotic behaviors are derived theoretically. Then, the solutions of equilibria are obtained. For each equilibrium, its stability and existence of Hopf bifurcation are validated. Based on corresponding first Lyapunov coefficient of each equilibrium, the analytical proof of the existence of periodic solutions is given. The ultimate bound and positively invariant set for the financial system are obtained and estimated. There exists a stable periodic solution obtained near the unstable equilibrium point. Finally, the dynamic behaviors of the new system are explored from theoretical analysis by using the bifurcation diagrams and phase portraits. Moreover, the hyperchaotic financial system has been simulated using a specially designed electronic circuit and viewed on an oscilloscope, thereby confirming the results of the numerical integrations and its real contribution to engineering.

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Chaos-based engineering applications with a 3D chaotic system without equilibrium points

Cited by 135 publications

References 69 publications

Chaos in a System with an Absolute Nonlinearity and Chaos Synchronization

Chaos in a System with an Absolute Nonlinearity and Chaos Synchronization

A novel high speed Artificial Neural Network–based chaotic True Random Number Generator on Field Programmable Gate Array

Hopf Bifurcation, Positively Invariant Set, and Physical Realization of a New Four‐Dimensional Hyperchaotic Financial System

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