1. FRACTIONAL-ORDER CHAOS:: A NOVEL FOUR-WING ATTRACTOR IN COUPLED LORENZ SYSTEMS.
- Author
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CAFAGNA, DONATO and GRASSI, GIUSEPPE
- Subjects
- *
LORENZ equations , *MATHEMATICAL programming , *DECOMPOSITION method , *ATTRACTORS (Mathematics) , *DIFFERENTIABLE dynamical systems - 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]
- Published
- 2009
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