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A new butterfly-shaped chaotic attractor

Title
A new butterfly-shaped chaotic attractor
Author(s)
Kim, DongwonChang, Pyung Hun
Issued Date
2013-02
Citation
Results in Physics, v.3, pp.14 - 19
Type
Article
Author Keywords
ChaosChaotic systemChaotic attractorButterfly-shaped attractorBifurcation
ISSN
2211-3797
Abstract
In this paper, a new chaotic system is proposed that consists of six terms including one multiplier and one quadratic term. The characteristics of this system are examined by theoretical and numerical analysis, such as equilibria, their stabilities, Lyapunov exponents and Lyapunov dimension, dissipativity, as well as, Poincaré maps, bifurcations, waveforms, power spectrums are performed. In addition, the forming mechanisms of compound structures of the new chaotic attractor are investigated. © 2013 The author.
URI
http://hdl.handle.net/20.500.11750/5337
DOI
10.1016/j.rinp.2012.12.001
Publisher
Elsevier BV
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