A new simple chaotic Lorenz-type system and its digital realization using a TFT touch-screen display embedded system
type: Item
instance of: scholarly article
title: A new simple chaotic Lorenz-type system and its digital realization using a TFT touch-screen display embedded system
zbMATH Open document ID: 1373.93149
DOI: 10.1155/2017/6820492
author: Rodrigo Méndez-Ramírez
author: A. Arellano-Delgado
author: C. Cruz-Hernández
author: R. Martínez-Clark
published in: Complexity
publication date: 2017-10-26T00:00:00Z
review text: Summary: This paper presents a new three-dimensional autonomous chaotic system. The proposed system generates a chaotic attractor with the variation of two parameters. Analytical and numerical studies of the dynamic properties to generate chaos, for Continuous Version (CV) and Discretized Version (DV), and for the new chaotic system (NCS) are conducted. The CV of the NCS is implemented by using an electronic circuit with Operational Amplifiers (OAs). In addition, the presence of chaos for DV of the NCS is proved by using the analytical and numerical degradation tests; the time series is calculated to determine the behavior of Lyapunov Exponents (LEs). Finally, the DV of NCS is implemented, in real-time, by using a novel Embedded System (ES) Mikromedia Plus for PIC32MX7 that includes one microcontroller PIC32 and one thin film transistor touch-screen display (TFTTSD), together with external digital-to-analog converters (DACs).
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 34D45
Mathematics Subject Classification ID: 93B40
zbMATH DE Number: 6798513
zbMATH Keywords: simple chaotic Lorenz-type system
zbMATH Keywords: three-dimensional autonomous chaotic system
zbMATH Keywords: chaotic attractor
zbMATH Keywords: Lyapunov exponents
Wikidata QID: Q59142936
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/6820492
OpenAlex ID: W2737428450
cites work: Q4692840
cites work: Researches on chaos phenomenon of EEG dynamics model
cites work: Projective Synchronization of Driving–Response Systems and Its Application to Secure Communication
cites work: The geometry of chaotic dynamics --- a complex network perspective
cites work: New ultimate bound sets and exponential finite-time synchronization for the complex Lorenz system
cites work: Synchronization for a class of uncertain fractional order chaotic systems with unknown parameters using a robust adaptive sliding mode controller
cites work: Image encryption algorithm based on dynamic DNA coding and Chen's hyperchaotic system
cites work: Deterministic Nonperiodic Flow
cites work: An equation for continuous chaos
cites work: A NEW CHAOTIC ATTRACTOR COINED
cites work: The double scroll family
cites work: A new chaotic attractor
cites work: YET ANOTHER CHAOTIC ATTRACTOR
cites work: A NEW CHAOTIC SYSTEM AND ITS GENERATION
cites work: Q3654864
cites work: MULTISTABILITY IN A BUTTERFLY FLOW
cites work: The maximum entropy principle applied to a dynamical system proposed by Lorenz
cites work: A memristive chaotic system with heart-shaped attractors and its implementation
cites work: Preservation of a two-wing Lorenz-like attractor with stable equilibria
cites work: A novel chaotic system without equilibrium: dynamics, synchronization, and circuit realization
cites work: Dynamics, circuit design, and synchronization of a new chaotic system with closed curve equilibrium
cites work: Improving the complexity of the Lorenz dynamics
cites work: Theoretical Design and FPGA-Based Implementation of Higher-Dimensional Digital Chaotic Systems
cites work: A discrete-time chaotic oscillator based on the logistic map: a secure communication scheme and a simple experiment using Arduino
cites work: A CHAOTIC SYSTEM WITH ONE SADDLE AND TWO STABLE NODE-FOCI
cites work: Determining Lyapunov exponents from a time series
cites work: Applied Numerical Methods Using MATLAB®
cites work: Attraktorlokalisierung des Lorenz-Systems
cites work: An ultimate bound on the trajectories of the Lorenz system and its applications
cites work: Estimating the bounds for the Lorenz family of chaotic systems
cites work: SYNCHRONIZATION OF CHAOTIC SYSTEMS: A GENERALIZED HAMILTONIAN SYSTEMS APPROACH
Recommended article: The generation and circuit implementation of a new hyper-chaos based upon Lorenz system
Recommended article: Dynamics, Synchronization and Electronic Implementations of a New Lorenz-like Chaotic System with Nonhyperbolic Equilibria
Recommended article: Q3170602
Recommended article: MOS realization of the modified Lorenz chaotic system
Recommended article: Q3512879
Recommended article: Dynamical analysis and numerical simulation of a new Lorenz-type chaotic system
Recommended article: Qualitative analysis of a new Lorenz-type chaotic system and its simulation
Recommended article: Theoretical design and circuit implementation of novel digital chaotic systems via hybrid control
Recommended article: Dynamical properties and simulation of a new Lorenz-like chaotic system
Recommended article: Q2984563
description: scientific article; zbMATH DE number 6798513