| Title: | OS16-7 A three-dimensional chaotic system generating single-wing and two-wing chaotic attractors |
|---|---|
| Publication: | ICAROB2017 |
| Volume: | 22 |
| Pages: | 209-212 |
| ISSN: | 2188-7829 |
| DOI: | 10.5954/ICAROB.2017.OS16-7 |
| Author(s): | Hongyan Jia, Yongjun Wu |
| Publication Date: | January 19, 2017 |
| Keywords: | autonomous system, single-wing attractor, two-wing attractor, Lyapunov exponents, bifurcation diagram |
| Abstract: | In this paper, a three-dimensional chaotic system is proposed based on a simple 3-D autonomous system by adding a linear piecewise function. It is very interesting that the new three-dimensional chaotic system can generate single-wing or two-wing chaotic attractor with variation of parameter. Several basic characteristics of the system, such as bifurcation diagram, phase orbits, and Lyapunov exponents are given to investigate different chaotic motions for the new system. The new system is found to be chaotic in a wide parameter range, and to show many complex dynamical behaviors. That is, the results obviously show the system is chaotic and its dynamics are very complex. |
| PDF File: | https://alife-robotics.co.jp/members2017/icarob/data/html/data/OS_pdf/OS16/OS16-7.pdf |
| Copyright: | © The authors. This article is distributed under the terms of the Creative Commons Attribution License 4.0, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited. See for details: https://creativecommons.org/licenses/by-nc/4.0/ |
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