☆ 4.7 Article

FPGA Implementation of Parameter-Switching Scheme to Stabilize Chaos in Fractional Spherical Systems and Usage in Secure Image Transmission

FRACTAL AND FRACTIONAL (2023)

Related references

Note: Only part of the references are listed.

Article Mathematics

A Chaotic Image Encryption Method Based on the Artificial Fish Swarms Algorithm and the DNA Coding

Yue Zhu et al.

Summary: In this paper, we propose a chaotic digital image encryption scheme based on an optimized artificial fish swarm algorithm and DNA coding to address the problems of small key space and weak resistance to differential attacks in existing encryption algorithms. The key is associated with the ordinary image pixel through the MD5 hash operation, and the hash value generated by the ordinary image is used to increase the sensitivity of the key. The artificial fish school algorithm is used to scramble the positions of pixels in the block, and scrambling operation between blocks is proposed to increase the scrambling effect. Operations based on DNA encoding, obfuscation, and decoding technologies are performed in the diffusion stage to obtain encrypted images.

MATHEMATICS (2023)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Grid-scroll memristive chaotic system with application to image encryption

Qiang Lai et al.

Summary: The paper establishes a four-dimensional multi-scroll chaotic system by adding a flux-controlled non-volatile memristor to a simple three-dimensional chaotic system. The system is extended to generate grid-scroll chaotic attractors by replacing the linear term with a triangular wave function. The evolution of chaos is studied and the existence of coexisting attractors is observed. In addition, the proposed system can be controlled by adjusting the parameters and the circuit implementation results are consistent with numerical simulations.

CHAOS SOLITONS & FRACTALS (2023)

Add to Collection

Article Engineering, Mechanical

Securing information using a proposed reliable chaos-based stream cipher: with real-time FPGA-based wireless connection implementation

Merah Lahcene et al.

Summary: This paper proposes a robust chaos-based stream cipher (CBSC) that addresses the challenges in chaos-based cryptography. The CBSC includes modules such as a synchronization circuit, a perturbation block, an encryption scheme, and a control parameters' generator, providing efficient encryption and statistical properties, as well as good security features.

NONLINEAR DYNAMICS (2023)

Add to Collection

Article Engineering, Mechanical

A hybrid chaotic controller integrating hip stiffness modulation and reinforcement learning-based torque control to stabilize passive dynamic walking

Yao Wu et al.

Summary: This study proposed a hybrid chaotic controller to stabilize bipedal chaotic motions, which combines hip stiffness modulation and hip impulse torque control. Through this controller, the robot can maintain stability in various disturbances and time varying environments.

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE (2023)

Add to Collection

Article Mathematics, Applied

Hidden and unstable periodic orbits as a result of homoclinic bifurcations in the Suarez-Schopf delayed oscillator and the irregularity of ENSO

Mikhail Anikushin et al.

Summary: This study revisits the classical Suarez-Schopf delayed oscillator and focuses on the region of linear stability in parameter space. By utilizing the theory of inertial manifolds, the existence of two-dimensional inertial manifolds in the model is analytically and numerically supported, allowing for a complete qualitative description of the dynamics in the region of linear stability. The study reveals the existence of two subregions with hidden or self-excited attracting periodic orbits, separated by a curve on which homoclinic figure eights should exist. The findings provide valuable insights into irregular oscillations and chaotic behavior in climate systems, as well as in other coupled systems.

PHYSICA D-NONLINEAR PHENOMENA (2023)

Add to Collection

Article Engineering, Electrical & Electronic

A novel five-term 3D chaotic system with cubic nonlinearity and its microcontroller-based secure communication implementation

Abdullah Gokyildirim et al.

Summary: Data security has gained importance, and cryptology is becoming popular. A new five-term 3D chaotic flow with cubic nonlinearity has been proposed for more difficult-to-decrypt systems. The research analyzed the dynamic characteristics of the introduced system and demonstrated its applicability through numerical analyses and circuit implementation. A secure communication method using the chaotic masking method was also designed and implemented to validate the system.

AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS (2023)

Add to Collection

Article Computer Science, Information Systems

An Encryption Application and FPGA Realization of a Fractional Memristive Chaotic System

Sara M. Mohamed et al.

Summary: This paper extends a memristive chaotic system with transcendental nonlinearities to the fractional-order domain. The chaotic properties of the extended system are validated through bifurcation analysis and spectral entropy. The presented system is employed in the substitution stage of an image encryption algorithm, demonstrating its efficiency through statistical tests, key sensitivity analysis, and resistance to brute force and differential attacks. The proposed system includes reconfigurable coordinate rotation digital computer (CORDIC) and Grunwald-Letnikov (GL) architectures for trigonometric and hyperbolic functions and fractional-order operator implementations, respectively. It achieved a throughput of 0.396 Gbit/s on the Artix-7 FPGA board.

ELECTRONICS (2023)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Design, Hardware Implementation on FPGA and Performance Analysis of Three Chaos-Based Stream Ciphers

Fethi Dridi et al.

Summary: In this paper, three secure chaos-based stream ciphers are proposed and implemented on an FPGA board for data confidentiality and integrity. The performance of certain discrete chaotic map models is evaluated, followed by the design, implementation, and analysis of robust pseudo-random number generators and their corresponding stream ciphers. The proposed system achieves a high level of security and good hardware metrics, outperforming the state-of-the-art works and providing an alternative to standard methods.

FRACTAL AND FRACTIONAL (2023)

Add to Collection

Article Computer Science, Artificial Intelligence

Analysis and implementation of no-equilibrium chaotic system with application in image encryption

Qiang Lai et al.

Summary: This paper introduces a new non-equilibrium chaotic system and proposes a chaotic magic cube transformation image encryption algorithm using it, which demonstrates high security characteristics. The new system exhibits specific period-doubling bifurcation and hidden chaotic attractors, with analog circuit and FPGA implementation proving the existence of the system. The encryption algorithm incorporates a dynamic key and a hybrid permutation-diffusion structure, successfully defending against various common attacks, showing good security properties.

APPLIED INTELLIGENCE (2022)

Add to Collection

Article Mathematics

An Image Encryption Scheme Synchronizing Optimized Chaotic Systems Implemented on Raspberry Pis

Omar Guillen-Fernandez et al.

Summary: This paper presents the implementation of optimized chaos generators on Raspberry Pis, connected wirelessly via MQTT, to ensure the security and privacy of information exchange in public networks.

MATHEMATICS (2022)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Stabilization of multi-rotation unstable periodic orbits through dynamic extended delayed feedback control

Y. G. Zheng et al.

Summary: The dynamic extended delayed feedback control (DEDFC) is developed to stabilize multi-rotation unstable periodic orbits (UPOs). A multi-objective optimization problem is formulated for the control design and solved with a genetic algorithm and cell mapping hybrid method. The control effect of DEDFC significantly outperforms that of standard EDFC.

CHAOS SOLITONS & FRACTALS (2022)

Add to Collection

Article Optics

A memristor-based VB2 chaotic system: Dynamical analysis, circuit implementation, and image encryption

Chenyang Hu et al.

Summary: This article introduces a new chaotic system based on asymmetric memristors, with high complexity and various attractor shapes. A circuit was designed to verify its physical feasibility, applied to image encryption, and analyzed from a security perspective.

OPTIK (2022)

Add to Collection

Article Mathematics, Applied

The nonlinear Rayleigh-Stokes problem with Riemann-Liouville fractional derivative

Yong Zhou et al.

Summary: The paper investigates the existence of solutions for the nonlinear Rayleigh-Stokes problem for a generalized second grade fluid with Riemann-Liouville fractional derivative. It demonstrates that the solution operator of the problem is compact and continuous in the uniform operator topology, and provides an existence result of mild solutions for the nonlinear problem.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2021)

Add to Collection

Article Mathematics, Applied

A fractional-order model for chronic lymphocytic leukemia and immune system interactions

Yasin Fadaei et al.

Summary: A mathematical model in fractional form was developed for analyzing interactions between B cell chronic lymphocytic leukemia and the immune system, using clinical data for parameter estimation. The model explained interactions at different times with α values between (0,1) and determined equilibrium points and stability. Bifurcation analysis revealed unpredictable behaviors such as saddle-node, bistability, and hysteresis phenomena in the system by changing parameter values.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2021)

Add to Collection

Article Physics, Multidisciplinary

Implementation of an encrypted-compressed image wireless transmission scheme based on chaotic fractional-order systems

M. A. Platas-Garza et al.

Summary: An encryption, compression and transmission scheme based on fractional-order chaotic systems, DWT and QPSK modulation is proposed in this paper. Experimental results and security analysis demonstrate adequate performance for various applications in the presence of multiple attacks and environmental noise.

CHINESE JOURNAL OF PHYSICS (2021)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Investigation of complex behaviour of fractal fractional chaotic attractor with mittag-leffler Kernel

Sayed Saifullah et al.

Summary: This article explores the behavior of a chaotic attractor from the perspective of fractal-fractional Mittag-Leffler, observing different aspects with varying fractal and fractional orders. The system's existence and uniqueness, stability analysis, Lyapunov spectra, bifurcation, and numerical illustration of complex behavior are presented. The chaotic attractor self-replicates its pattern in the fractal process as the fractal dimension varies.

CHAOS SOLITONS & FRACTALS (2021)

Add to Collection

Article Automation & Control Systems

An Extremely Simple Multiwing Chaotic System: Dynamics Analysis, Encryption Application, and Hardware Implementation

Hairong Lin et al.

Summary: The study constructed a simple multiwing chaotic system without polynomial functions, which can adjust the number of butterflies in multiple ways. By using commercially available electronic components to implement the analog circuit, the consumption of electronic components was greatly reduced. The application of MWCS to chaotic image encryption showed high security and reliable encryption performance.

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS (2021)

Add to Collection

Article Computer Science, Hardware & Architecture

A new multi-scroll Chua's circuit with composite hyperbolic tangent-cubic nonlinearity: Complex dynamics, Hardware implementation and Image encryption application

Fei Yu et al.

Summary: This paper presents a new method for generating multi-scroll chaotic attractors and analyzes the basic dynamic characteristics of the system, as well as its application in chaotic image encryption and security performance evaluation. The feasibility and usability of the proposed new multi-scroll Chua's system are verified through numerical simulation and FPGA experimental results.

INTEGRATION-THE VLSI JOURNAL (2021)

Add to Collection

Article Chemistry, Multidisciplinary

The Design and FPGA-Based Implementation of a Stream Cipher Based on a Secure Chaotic Generator

Fethi Dridi et al.

Summary: This study developed a secure chaos-based stream cipher (SCbSC) and evaluated its hardware implementation performance, showing a good tradeoff between efficiency and security. The proposed system can effectively resist side-channel attacks and be used as a secure stream cipher.

APPLIED SCIENCES-BASEL (2021)

Add to Collection

Article Optics

An efficient color/grayscale image encryption scheme based on hybrid chaotic maps

Noura Khalil et al.

Summary: The paper proposes an effective chaotic color/grayscale image encryption algorithm that combines 2D and 1D chaotic maps, with simple structure, easy implementation, and excellent chaotic features for higher security. Simulation and analysis results show promising security performance and high resistance to statistical and differential attacks.

OPTICS AND LASER TECHNOLOGY (2021)

Add to Collection

Article Engineering, Electrical & Electronic

Multi control adaptive fractional order PID control approach for PV/wind connected grid system

Daud Sibtain et al.

Summary: This paper introduces a novel genetic optimize multi-control adaptive fractional order PID (AFOPID) for Photovoltaic (PV) and Wind connected grid system. The proposed control scheme is optimized by genetic algorithm (GA) to improve tracking efficiency. The study aims to maximize the utilization of renewable energy sources by introducing better control.

INTERNATIONAL TRANSACTIONS ON ELECTRICAL ENERGY SYSTEMS (2021)

Add to Collection

Article Multidisciplinary Sciences

FPGA Realization of the Parameter-Switching Method in the Chen Oscillator and Application in Image Transmission

Vincent-Ademola Adeyemi et al.

Summary: The paper applies the parameter-switching technique to control chaos and designs a secure transmission system, with the main contributions being the FPGA realizations and verification of the synchronization method.

SYMMETRY-BASEL (2021)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Signal Propagation in Electromagnetic Media Modelled by the Two-Sided Fractional Derivative

Jacek Gulgowski et al.

Summary: This paper discusses wave propagation in a medium described by a fractional-order model, investigating the causality of the system and transfer function under different conditions. Results are demonstrated and illustrated through numerical simulations and analyses, with additional comments on the Kramers-Kronig relations for the transfer function logarithm.

FRACTAL AND FRACTIONAL (2021)

Add to Collection

Article Computer Science, Information Systems

Fractional chaos based-cryptosystem for generating encryption keys in Ad Hoc networks

Rolando Montero-Canela et al.

AD HOC NETWORKS (2020)

Add to Collection

Article Mathematics, Interdisciplinary Applications

SYMMETRY ANALYSIS FOR A SEVENTH-ORDER GENERALIZED KDV EQUATION AND ITS FRACTIONAL VERSION IN FLUID MECHANICS

Gangwei Wang et al.

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY (2020)

Add to Collection

Review Engineering, Mechanical

Parrondo's paradox from classical to quantum: A review

Joel Weijia Lai et al.

NONLINEAR DYNAMICS (2020)

Add to Collection

Article Computer Science, Artificial Intelligence

Chaos in fractional-order discrete neural networks with application to image encryption

Liping Chen et al.

NEURAL NETWORKS (2020)

Add to Collection

Article Mathematics, Applied

FUZZY CALCULUS: THE LINK BETWEEN QUANTUM MECHANICS AND DISCRETE FRACTIONAL OPERATORS

Raoul R. Nigmatullin et al.

FRACTIONAL CALCULUS AND APPLIED ANALYSIS (2020)

Add to Collection

Article Computer Science, Information Systems

Low power and high-speed FPGA implementation for 4D memristor chaotic system for image encryption

Esam A. A. Hagras et al.

MULTIMEDIA TOOLS AND APPLICATIONS (2020)

Add to Collection

Article Computer Science, Information Systems

Generation of grid multi-wing chaotic attractors and its application in video secure communication system

Ying Li et al.

MULTIMEDIA TOOLS AND APPLICATIONS (2020)

Add to Collection

Article Mathematics, Applied

Optimal control for cancer treatment mathematical model using Atangana-Baleanu-Caputo fractional derivative

Nasser Hassan Sweilam et al.

ADVANCES IN DIFFERENCE EQUATIONS (2020)

Add to Collection

Article Computer Science, Information Systems

A novel randomized bit-level two-dimensional hyperchaotic image encryption algorithm

Ali Shakiba

MULTIMEDIA TOOLS AND APPLICATIONS (2020)

Add to Collection

Article Computer Science, Artificial Intelligence

A comprehensive investigation into the performance, robustness, scalability and convergence of chaos-enhanced evolutionary algorithms with boundary constraints

Ahmad Mozaffari et al.

ARTIFICIAL INTELLIGENCE REVIEW (2019)

Add to Collection

Article Mechanics

Stability analysis of pipes conveying fluid with fractional viscoelastic model

M. Javadi et al.

MECCANICA (2019)

Add to Collection

Article Multidisciplinary Sciences

On the synchronization techniques of chaotic oscillators and their FPGA-based implementation for secure image transmission

Omar Guillen-Fernandez et al.

PLOS ONE (2019)

Add to Collection

Article Mathematics, Applied

Modeling biological systems with an improved fractional Gompertz law

Luigi Frunzo et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2019)

Add to Collection

Article Astronomy & Astrophysics

Numerical study of singular fractional Lane-Emden type equations arising in astrophysics

Abbas Saadatmandi et al.

JOURNAL OF ASTROPHYSICS AND ASTRONOMY (2019)

Add to Collection

Article Optics

An image compression and encryption algorithm based on chaotic system and compressive sensing

Lihua Gong et al.

OPTICS AND LASER TECHNOLOGY (2019)

Add to Collection

Article Mathematics, Applied

New variable-order fractional chaotic systems for fast image encryption

Guo-Cheng Wu et al.

CHAOS (2019)

Add to Collection

Article Physics, Multidisciplinary

An Algorithm of Image Encryption Using Logistic and Two-Dimensional Chaotic Economic Maps

Sameh S. Askar et al.

ENTROPY (2019)

Add to Collection

Review Computer Science, Interdisciplinary Applications

Characterization of Si-BCB transmission line at millimeter-wave frequency by compact fractional-order equivalent circuit model

Liyun Shi et al.

INTERNATIONAL JOURNAL OF RF AND MICROWAVE COMPUTER-AIDED ENGINEERING (2019)

Add to Collection

Article Engineering, Multidisciplinary

Bifurcation Analysis and Chaos Control in a Second-Order Rational Difference Equation

Qamar Din et al.

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION (2018)

Add to Collection

Article Engineering, Electrical & Electronic

A novel bit-level image encryption algorithm based on 2D-LICM hyperchaotic map

Chun Cao et al.

SIGNAL PROCESSING (2018)

Add to Collection

Article Automation & Control Systems

Stabilizing unstable periodic orbits with delayed feedback control in act-and-wait fashion

Ahmet Cetinkaya et al.

SYSTEMS & CONTROL LETTERS (2018)

Add to Collection

Article Biology

Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits

Pablo Amster et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2018)

Add to Collection

Article Mathematics, Applied

A Caputo fractional derivative of a function with respect to another function

Ricardo Almeida

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2017)

Add to Collection

Article Mathematics, Applied

Chaos control of Hastings-Powell model by combining chaotic motions

Marius-F. Danca et al.

CHAOS (2016)

Add to Collection

Article Computer Science, Information Systems

An efficient and noise resistive selective image encryption scheme for gray images based on chaotic maps and DNA complementary rules

Ayesha Kulsoom et al.

MULTIMEDIA TOOLS AND APPLICATIONS (2016)

Add to Collection

Article Computer Science, Interdisciplinary Applications

Efficient computation of the Grunwald-Letnikov fractional diffusion derivative using adaptive time step memory

Christopher L. MacDonald et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2015)

Add to Collection

Article Physics, Multidisciplinary

A 3-D SPHERICAL CHAOTIC ATTRACTOR

Zenghui Wang et al.

ACTA PHYSICA POLONICA B (2011)

Add to Collection

Article Mathematics, Applied

Modeling and numerical analysis of fractional-order Bloch equations

Ivo Petras

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2011)

Add to Collection

Article Optics

A novel image encryption method based on total shuffling scheme

Guoji Zhang et al.

OPTICS COMMUNICATIONS (2011)

Add to Collection

© Peeref 2019-2024. All rights reserved.