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Chaotic Attractor Generation via a Simple Linear Time‐Varying System
Author(s) -
Baiyu Ou,
Desheng Liu
Publication year - 2010
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2010/840346
Subject(s) - attractor , simple (philosophy) , lyapunov exponent , chaotic , control theory (sociology) , computer science , lyapunov function , mathematics , nonlinear system , control (management) , mathematical analysis , physics , artificial intelligence , philosophy , epistemology , quantum mechanics
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

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