Chaotic Attractor Generation via a Simple Linear Time-Varying System

Chaotic Attractor Generation via a Simple Linear Time-Varying System

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 convenie...

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Veröffentlicht in:Discrete Dynamics in Nature and Society 2010-01, Vol.2010 (2010), p.1484-1491
Hauptverfasser: Ou, Baiyu, Liu, Desheng
Format: Artikel
Sprache:eng
Schlagworte:
Behavior
Chaos theory
Computer simulation
Methods
Numerical analysis
Studies
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Beschreibung
Zusammenfassung: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.
ISSN:1026-0226
1607-887X
DOI:10.1155/2010/840346