Back to Search
Start Over
FRACTIONAL-ORDER CHAOS:: A NOVEL FOUR-WING ATTRACTOR IN COUPLED LORENZ SYSTEMS.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . Oct2009, Vol. 19 Issue 10, p3329-3338. 10p. 3 Graphs. - Publication Year :
- 2009
-
Abstract
- By using a time-domain approach, this paper analyzes the chaotic dynamics of the fractional-order system obtained by coupling two fractional Lorenz systems. The work exploits the Adomian decomposition method (ADM), shows that the proposed fractional system with order as low as 2.88 exhibits a novel four-wing chaotic attractor. The existence of chaos is also confirmed by the application of the "0-1 test" for chaos. Finally, an analysis of the system equilibria is conducted, which shows that the fractional-order four-wing attractor is truly the counterpart of the recently introduced integer-order four-wing attractor. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 19
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 47022884
- Full Text :
- https://doi.org/10.1142/S0218127409024785