Chaotic attractor generation via a simple linear time-varying system
type: Item
instance of: scholarly article
title: Chaotic attractor generation via a simple linear time-varying system
zbMATH Open document ID: 1203.37060
DOI: 10.1155/2010/840346
author: Baiyu Ou
author: De-Sheng Liu
published in: Discrete Dynamics in Nature and Society
publication date: 2010-12-06T00:00:00Z
full work available at URL: https://eudml.org/doc/230634
review text: Summary: A novel generation method of chaotic attractor is introduced in this paper. The underlying mechanism involves a simple three-dimensional time-varying system with simple time functions as control inputs. Moreover, it is demonstrated by simulation that various attractor patterns are generated conveniently by adjusting suitable system parameters. The largest Lyapunov exponent of the system has been obtained.
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 5823134
zbMATH Keywords: chaotic attractor generation
Wikidata QID: Q58650655
MaRDI profile type: Publication
OpenAlex ID: W1995961761
cites work: PARAMETER IDENTIFICATION OF CHAOTIC SYSTEMS USING WAVELETS AND NEURAL NETWORKS
cites work: Deterministic Nonperiodic Flow
cites work: The double scroll family
cites work: Generation of n-double scrolls (n=1, 2, 3, 4,...)
cites work: Calculation of Lyapunov exponents for dynamic systems with discontinuities.
cites work: Controllability and stabilizability of switched linear-systems
cites work: Chaotic attractor generation and critical value analysis via switching approach
cites work: Period Three Implies Chaos
description: scientific article; zbMATH DE number 5823134