☆ 4.7 Article

CORDIC-Based FPGA Realization of a Spatially Rotating Translational Fractional-Order Multi-Scroll Grid Chaotic System

FRACTAL AND FRACTIONAL (2022)

相关参考文献

注意：仅列出部分参考文献，下载原文获取全部文献信息。

Article Engineering, Electrical & Electronic

n-Dimensional Polynomial Chaotic System With Applications

Zhongyun Hua et al.

Summary: The paper introduces an n-dimensional polynomial chaotic system (nD-PCS) that can generate high-dimensional chaotic maps with any desired Lyapunov exponents. The construction of the nD-PCS utilizes linear algebra and theoretical analysis confirms its effectiveness in producing chaotic maps with the desired properties. Two high-dimensional chaotic maps with hyperchaotic behaviors were successfully generated and demonstrated randomness properties through a hardware platform.

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS (2022)

添加到收藏夹

Article Engineering, Mechanical

Dynamical analysis of coronavirus disease with crowding effect, and vaccination: a study of third strain

Ali Raza et al.

Summary: This study develops a mathematical model to analyze the spread of the coronavirus, considering the crowding effects and the introduction of vaccines. The model effectively controls the active cases of the third strain in Pakistan and can be applied to predict the infection rate in other countries.

NONLINEAR DYNAMICS (2022)

添加到收藏夹

Article Materials Science, Multidisciplinary

Dynamical and nonstandard computational analysis of heroin epidemic model

Ali Raza et al.

Summary: Numerical modelling plays a significant role in various disciplines, and this study focuses on the dynamics of the heroin epidemic model based on the law of mass action. The paper presents the essential features of the model and provides standard and nonstandard computational methods, showing the effectiveness of the proposed numerical model through simulations.

RESULTS IN PHYSICS (2022)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Fractional-order multiwing switchable chaotic system with a wide range of parameters*

Minxiu Yan et al.

Summary: This paper presents a novel fractional-order multiwing switchable Liu chaotic system and introduces the construction method and performance effect. It also constructs a new chaotic system with variable powers of the nonlinear term and a wide parameter range, and studies and compares its dynamic characteristics. Finally, a chaotic circuit of the fractional-order multiwing Liu system is designed.

CHAOS SOLITONS & FRACTALS (2022)

添加到收藏夹

Article Engineering, Electrical & Electronic

FPGA Implementation of Reconfigurable CORDIC Algorithm and a Memristive Chaotic System With Transcendental Nonlinearities

Sara M. Mohamed et al.

Summary: This paper proposes a reconfigurable CORDIC hardware design and FPGA realization that includes all possible configurations of the CORDIC algorithm. It demonstrates efficient hardware utilization and suitability for potential applications.

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS (2022)

添加到收藏夹

Article Computer Science, Artificial Intelligence

Trajectory control and image encryption using affine transformation of lorenz system

Wafaa S. Sayed et al.

Summary: This paper proposes a method to generalize chaotic systems using two-dimensional affine transformations with introduced parameters to control the location of strange attractors and enhance system randomness and sensitivity. The approach is validated and applied to an image encryption scheme for improved security.

EGYPTIAN INFORMATICS JOURNAL (2021)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Analysis and FPGA of semi-fractal shapes based on complex Gaussian map

BahaaAlDeen M. AboAlNaga et al.

Summary: This paper explores the fractal-like behavior of the complex form of Gaussian chaotic map and the ability of digital architectures to mimic it, with the hope that a digital realization of fractals may also be achieved. The study involves analyzing the Gauss map in terms of its bifurcation behavior, time waveform plots, Lyapunov exponent, and attractor performance through parameter variation. Additionally, FPGA implementation of the fractal behavior is discussed, leading to an experimentally displayed fractal entity.

CHAOS SOLITONS & FRACTALS (2021)

添加到收藏夹

Article Engineering, Electrical & Electronic

Design and FPGA Verification of Custom-Shaped Chaotic Attractors Using Rotation, Offset Boosting and Amplitude Control

Wafaa S. Sayed et al.

Summary: This method generates custom-shaped attractors using a planarly rotating V-shape multi-scroll chaotic system, covering the entire space, and utilizing non-autonomous parameters to create attractors of various shapes.

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS (2021)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Analysis of three types of initial offset-boosting behavior for a new fractional-order dynamical system

Shuangquan Gu et al.

Summary: In this study, a new fractional-order chaotic system based on the ADM is proposed, which exhibits hidden nonlinear characteristics and multistability. By numerical simulations, the evolution of conservative, quasi-conservative, and dissipative phase trajectories are analyzed in detail, showing controlled initial-offset boosting behavior. The system's physical implementability is demonstrated through a circuit implementation on a DSP.

CHAOS SOLITONS & FRACTALS (2021)

添加到收藏夹

Article Automation & Control Systems

Initials-Boosted Coexisting Chaos in a 2-D Sine Map and Its Hardware Implementation

Han Bao et al.

Summary: This article introduces a simple 2-D sine map for generating complex chaotic sequences and boosting oscillating amplitudes by switching initial states. Experimental results demonstrate nondestructive control of chaotic sequences, making it suitable for various engineering applications.

IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS (2021)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Investigating the complex behaviour of multi-scroll chaotic system with Caputo fractal-fractional operator

Shabir Ahmad et al.

Summary: A new complex dynamical system model has been studied with the replacement of fractional derivatives by Caputo-based fractal-fractional derivatives. The existence of at least one solution is ensured through fixed point theorems, and the stability under the new fractal-fractional derivative is proven through non-linear functional analysis.

CHAOS SOLITONS & FRACTALS (2021)

添加到收藏夹

Article Computer Science, Information Systems

An Image Encryption Scheme Based on Lorenz Hyperchaotic System and RSA Algorithm

Riguang Lin et al.

Summary: This research introduces a new image encryption scheme based on the Lorenz hyperchaotic system and RSA algorithm, which hides image data through multiple methods for increased security. The experimental results demonstrate the effectiveness and strong anti-attack capabilities of this encryption scheme.

SECURITY AND COMMUNICATION NETWORKS (2021)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

MULTI-DIRECTION CHAIN AND GRID CHAOTIC SYSTEM BASED ON JULIA FRACTAL

Xiang-Liang Xu et al.

Summary: In this study, multi-direction chain and grid chaotic attractors are generated using a new Julia fractal mapping process based on the multi-scroll chaotic system. The feasibility and effectiveness of this method are verified through numerical simulation. By discussing the impact of Julia fractals on the system and generalizing to higher-order fractals, three types of chaotic systems with controllable scroll numbers distributed in multiple directions are obtained.

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY (2021)

添加到收藏夹

Article Engineering, Multidisciplinary

Discrete memristive neuron model and its interspike interval-encoded application in image encryption

Bao Han et al.

Summary: The phenomenon of bursting in neuronal activation patterns is common and diverse, indicating fast action voltage spiking periods followed by resting periods. The time between successive action voltage spikes, known as the interspike interval (ISI), is a key indicator used to characterize bursting. A three-dimensional memristive Hindmarsh-Rose (mHR) neuron model has been constructed to generate hidden chaotic bursting, but the properties of the discrete mHR neuron model have not been studied. This study presents a discrete mHR neuron model and explores different hidden chaotic bursting sequences under four typical parameter sets. Experimental results on ISI-encoded chaotic sequences show complex chaos properties compared to the original sequences. The ISI-encoded chaotic sequences are then applied to image encryption, demonstrating excellent robustness against various possible attacks based on experimental results and security analyses.

SCIENCE CHINA-TECHNOLOGICAL SCIENCES (2021)

添加到收藏夹

Article Computer Science, Information Systems

Reconfigurable FPGA Realization of Fractional-Order Chaotic Systems

Sara M. Mohamed et al.

Summary: This paper proposes an FPGA realization of a generic fractional-order derivative IP core based on Grunwald-Letnikov approximation, applied for reconfigurable realization of fractional-order chaotic systems. By optimizing internal resources and comparing approximation methods, efficient hardware utilization and applicability for potential applications are demonstrated through verification of three chaotic systems.

IEEE ACCESS (2021)

添加到收藏夹

Article Computer Science, Hardware & Architecture

Hardware Design of a Kind of Grid Multi-Scroll Chaotic System Based on a MSP430F169 Chip

Wei Xu et al.

JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS (2020)

添加到收藏夹

Article Engineering, Electrical & Electronic

Generalized switched synchronization and dependent image encryption using dynamically rotating fractional-order chaotic systems

Wafaa S. Sayed et al.

AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS (2020)

添加到收藏夹

Article Mathematics, Applied

Dynamics editing based on offset boosting

Chunbiao Li et al.

CHAOS (2020)

添加到收藏夹

Article Physics, Multidisciplinary

Novel two-directional grid multi-scroll chaotic attractors based on the Jerk system

Peng-Fei Ding et al.

CHINESE PHYSICS B (2020)

添加到收藏夹

Article Engineering, Electrical & Electronic

Enhanced hardware implementation of a mixed-order nonlinear chaotic system and speech encryption application

Abdulaziz H. Elsafty et al.

AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS (2020)

添加到收藏夹

Article Computer Science, Hardware & Architecture

A novel secure chaos-based pseudo random number generator based on ANN-based chaotic and ring oscillator: design and its FPGA implementation

Murat Tuna

ANALOG INTEGRATED CIRCUITS AND SIGNAL PROCESSING (2020)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Analysis and Circuit Implementation of Fractional Order Multi-wing Hidden Attractors

Li Cui et al.

CHAOS SOLITONS & FRACTALS (2020)

添加到收藏夹

Article Engineering, Electrical & Electronic

Two-Dimensional Rotation of Chaotic Attractors: Demonstrative Examples and FPGA Realization

W. S. Sayed et al.

CIRCUITS SYSTEMS AND SIGNAL PROCESSING (2019)

添加到收藏夹

Article Computer Science, Information Systems

Cosine-transform-based chaotic system for image encryption

Zhongyun Hua et al.

INFORMATION SCIENCES (2019)

添加到收藏夹

Article Engineering, Electrical & Electronic

A Class of Piecewise Linear Systems Without Equilibria With 3-D Grid Multiscroll Chaotic Attractors

R. J. Escalante-Gonzalez et al.

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS (2019)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

A fractional order chaotic system with a 3D grid of variable attractors

J. M. Munoz-Pacheco et al.

CHAOS SOLITONS & FRACTALS (2018)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

3D Grid Multi-Wing Chaotic Attractors

Nan Yu et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2018)

添加到收藏夹

Article Computer Science, Hardware & Architecture

A Neuron Library for Rapid Realization of Artificial Neural Networks on FPGA: A Case Study of Rossler Chaotic System

Ismail Koyuncu et al.

JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS (2017)

添加到收藏夹

Article Engineering, Mechanical

Hardware implementation of pseudo-random number generators based on chaotic maps

Luis Gerardo de la Fraga et al.

NONLINEAR DYNAMICS (2017)

添加到收藏夹

Article Optics

Four-wing attractors in a novel chaotic system with hyperbolic sine nonlinearity

Zhen Wang et al.

OPTIK (2017)

添加到收藏夹

Article Engineering, Electrical & Electronic

Dynamics and circuit realization of a no-equilibrium chaotic system with a boostable variable

Viet-Thanh Pham et al.

AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS (2017)

添加到收藏夹

Article Mathematics, Applied

Design and implementation of grid multi-scroll fractional-order chaotic attractors

Liping Chen et al.

CHAOS (2016)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Generation and circuit implementation of fractional-order multi-scroll attractors

Liping Chen et al.

CHAOS SOLITONS & FRACTALS (2016)

添加到收藏夹

Article Optics

Variable-boostable chaotic flows

Chunbiao Li et al.

OPTIK (2016)

添加到收藏夹

Article Mathematics, Applied

FPGA realization of multi-scroll chaotic oscillators

E. Tlelo-Cuautle et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2015)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Design of Grid Multiscroll Chaotic Attractors via Transformations

Xingxing Ai et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2015)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Chaotic Fractional-Order Model for Muscular Blood Vessel and its Control via Fractional Control Scheme

Mohammad Pourmahmood Aghababa et al.

COMPLEXITY (2014)

添加到收藏夹

Article Automation & Control Systems

Complete synchronization of commensurate fractional order chaotic systems using sliding mode control

Abolhassan Razminia et al.

MECHATRONICS (2013)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Generation of multi-wing chaotic attractor in fractional order system

Chaoxia Zhang et al.

CHAOS SOLITONS & FRACTALS (2011)

添加到收藏夹

Article Engineering, Electrical & Electronic

Fractional-Order Circuits and Systems: An Emerging Interdisciplinary Research Area

Ahmed S. Elwakil

IEEE CIRCUITS AND SYSTEMS MAGAZINE (2010)

添加到收藏夹

Article Mathematics, Applied

A chaotic secure communication scheme using fractional chaotic systems based on an extended fractional Kalman filter

Arman Kiani-B et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2009)

添加到收藏夹

Article Automation & Control Systems

Efficient FPGA Realization of CORDIC With Application to Robotic Exploration

Leena Vachhani et al.

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS (2009)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Generating 3-D scroll grid attractors of fractional differential systems via stair function

Weihua Deng

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2007)

添加到收藏夹

Article Physics, Multidisciplinary

Generating multi-directional multi-scroll chaotic attractors via a fractional differential hysteresis system

Weihua Deng et al.

PHYSICS LETTERS A (2007)

添加到收藏夹

Article Mathematics, Applied

Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control

Weihua Deng et al.

CHAOS (2006)

添加到收藏夹

Review Mathematics, Interdisciplinary Applications

Generating multiscroll chaotic attractors:: Theories, methods and applications

Jinhu Lu et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2006)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Generation and control of multi-scroll chaotic attractors in fractional order systems

WM Ahmad

CHAOS SOLITONS & FRACTALS (2005)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Families of scroll grid attractors

ME Yalcin et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2002)

添加到收藏夹

Article Computer Science, Information Systems

The birth of CORDIC

JE Volder

JOURNAL OF VLSI SIGNAL PROCESSING SYSTEMS FOR SIGNAL IMAGE AND VIDEO TECHNOLOGY (2000)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.