Published February 28, 2009 | Version v1
Journal article Metadata-only

A novel three-dimensional autonomous chaos system

Creators

  • 1. Institute of Electrical Engineering, Xi'an Jiaotong University, State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an 710049 (China)

Description

This letter reports a novel three-dimensional autonomous chaotic system. Some basic dynamical properties, such as Lyapunov exponents, Poincare mapping, fractal dimension, continuous spectrum and chaotic behaviors of this new transverse butterfly attractor are studied. Furthermore, the forming mechanism of its compound structure obtained by merging together two simple attractors after performing one mirror operation has been investigated by detailed numerical as well as theoretical analysis.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.chaos.2007.06.079

Additional details

Identifiers

DOI
10.1016/j.chaos.2007.06.079;
PII
S0960-0779(07)00473-0;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
39
Journal Issue
4
Journal Page Range
p. 1950-1958
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41008731
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
ATTRACTORS; CHAOS THEORY; FRACTALS; LYAPUNOV METHOD; MAPPING; THREE-DIMENSIONAL CALCULATIONS
Descriptors DEC
CALCULATION METHODS; MATHEMATICS

Optional Information

Copyright
Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.