Chaotic or Hyper-chaotic Oscillator? Numerical Solution, Circuit Design, MATLAB HDL-Coder Implementation, VHDL Code, Security Analysis, and FPGA Realization

Bonny, Talal

doi:10.1007/s00034-020-01521-8

Cited by 39 publications

(21 citation statements)

References 40 publications

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“…In addition, it has two positive LE, which indicates hyperchaos, hyperchaotic system is mathematically defined as a chaotic system, implying that its dynamics are expended in many different directions simultaneously, improving the chaotic features of the map. The hyperchaotic attractor has more complex dynamic behaviors as compared with chaotic system [ 29 , 30 ].…”

Section: Proposed Enhanced Hyperchaotic Mapmentioning

confidence: 99%

Pseudorandom number generator based on novel 2D Hénon-Sine hyperchaotic map with microcontroller implementation

Murillo-Escobar

Cruz-Hernández

et al. 2022

Nonlinear Dyn

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Recently, chaotic maps have been considered to design pseudorandom number generator (PRNG). However, some chaotic maps present security disadvantages, such as low uniformity and low randomness properties. Nowadays, chaos-based PRNGs are used as the main source for the development of cryptographic algorithms. In this work, to overcome such weaknesses, a novel 2D hyperchaotic map is proposed based on discrete-time feedback by using Hénon map and Sine map. In addition, the dynamics of the hyperchaotic map are enhanced by using the remainder after division function ( rem ), where better random statistical properties are obtained. A comparison is made between the enhanced Hénon-Sine hyperchaotic map (EHSHM) and the Hénon-Sine hyperchaotic map through Lyapunov exponent analysis, attractor trajectory, histograms and sensitivity at initialization. Then, 8-bit pseudorandom number generator based on the proposed hyperchaotic map (PRNG–EHSHM) is designed and the initial seed of the PRNG is calculated by a secret key of 60 hexadecimal characters. It is implemented in both MATLAB and Arduino Mega microcontroller for experimental results. A complete security analysis is presented from a cryptographic point of view, such as key space, floating frequency, histograms and entropy of the information. Moreover, the randomness is verified with the tests of the National Institute of Standards and Technology (NIST 800-22). Based on the security results obtained, the proposed PRNG–EHSHM can be implemented in embedded cryptographic applications based on chaos.

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Section: Proposed Enhanced Hyperchaotic Mapmentioning

confidence: 99%

Pseudorandom number generator based on novel 2D Hénon-Sine hyperchaotic map with microcontroller implementation

Murillo-Escobar

Cruz-Hernández

et al. 2022

Nonlinear Dyn

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“…Otherwise, DSP blocks enable sophisticated arithmetic operations, while BRAM resources can be leveraged to speed up processing. The Xilinx System Generator is a toolbox for FPGA programming linked with MATLAB/Simulink that eliminates the problems associated with VHDL or Verilog programming [34]. These programming languages, which are regarded as typical methods for the implementation of FPGA-based circuits, suffer from a lack of flexibility and productivity, which is why the XSG tool was developed.…”

Section: Fpga Implementation Of Predictive Current Controlmentioning

confidence: 99%

Experimental Validation of Predictive Current Control for DFIG: FPGA Implementation

et al. 2021

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The purpose of this study is to design a real-time current predictive control for a wind energy conversion system (WECS) using a doubly-fed induction generator (DFIG). A wind emulator and a test bench for assessing control strategies were conceptualized. The DSPACE DS1104 board served as the foundation for the design of a wind emulation system. While power is indirectly regulated via currents, the latter is controlled directly by current predictive control. Using discrete time, the control suggests the appropriate voltages to the converter for each sample period to attain the specified set points and control the power. The field-oriented control is employed to ensure that the two components, axes d and q, are decoupled. The present predictive control was established to regulate a DFIG’s active and reactive capabilities. To begin, a thorough examination of the WECS is discussed. Following that, a comprehensive description of predictive control laws based on reference frame orientation is offered. As a result, a simulation was done using Matlab/Simulink environments to assess the performance and resilience of the proposed control model. The predictive current control was then experimentally validated on a test bench to demonstrate its efficacy. The observed results reveal an astonishing correlation between simulations and experiments.

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“…Chaotic flows have attracted lots of attention recently [1,2]. Many systems with various features have been proposed to study the chaotic dynamics [3,4]. Some of the proposed oscillators are discussed from the viewpoint of their quadratic or cubic terms [5,6].…”

Section: Introductionmentioning

confidence: 99%

A Chaotic Quadratic Oscillator with Only Squared Terms: Multistability, Impulsive Control, and Circuit Design

Dhinakaran¹,

Alanezi

Natiq³

et al. 2022

Symmetry

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Here, a chaotic quadratic oscillator with only squared terms is proposed, which shows various dynamics. The oscillator has eight equilibrium points, and none of them is stable. Various bifurcation diagrams of the oscillator are investigated, and its Lyapunov exponents (LEs) are discussed. The multistability of the oscillator is discussed by plotting bifurcation diagrams with various initiation methods. The basin of attraction of the oscillator is discussed in two planes. Impulsive control is applied to the oscillator to control its chaotic dynamics. Additionally, the circuit is implemented to reveal its feasibility.

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Chaotic or Hyper-chaotic Oscillator? Numerical Solution, Circuit Design, MATLAB HDL-Coder Implementation, VHDL Code, Security Analysis, and FPGA Realization

Cited by 39 publications

References 40 publications

Pseudorandom number generator based on novel 2D Hénon-Sine hyperchaotic map with microcontroller implementation

Pseudorandom number generator based on novel 2D Hénon-Sine hyperchaotic map with microcontroller implementation

Experimental Validation of Predictive Current Control for DFIG: FPGA Implementation

A Chaotic Quadratic Oscillator with Only Squared Terms: Multistability, Impulsive Control, and Circuit Design

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