Back to Search
Start Over
Chaos in the Newton–Leipnik system with fractional order
- Source :
-
Chaos, Solitons & Fractals . Apr2008, Vol. 36 Issue 1, p98-103. 6p. - Publication Year :
- 2008
-
Abstract
- Abstract: The dynamics of fractional-order systems has attracted increasing attention in recent years. In this paper, the dynamics of the Newton–Leipnik system with fractional order was studied numerically. The system displays many interesting dynamic behaviors, such as fixed points, periodic motions, chaotic motions, and transient chaos. It was found that chaos exists in the fractional-order system with order less than 3. In this study, the lowest order for this system to yield chaos is 2.82. A period-doubling route to chaos in the fractional-order system was also found. [Copyright &y& Elsevier]
- Subjects :
- *SOLITONS
*CHAOS theory
*THEORY of wave motion
*FRACTALS
*STATICS
Subjects
Details
- Language :
- English
- ISSN :
- 09600779
- Volume :
- 36
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Chaos, Solitons & Fractals
- Publication Type :
- Periodical
- Accession number :
- 27156733
- Full Text :
- https://doi.org/10.1016/j.chaos.2006.06.013