Design and implementation of grid multi-scroll fractional-order chaotic attractors

• Type: Article in International Scientific Journal
• Date: 2016

Authors

Chen, LP (Author) Other; Pan, W (Author) Other; Wu, RC (Author) Other; Tenreiro Machado, JAT (Author) Other; António Mendes Lopes (Author) FEUP

Journal

Title: Chaos

Vol. 26

ISSN: 1054-1500

Publisher: American Institute of Physics

Indexing

ISI Web of Knowledge - 39 Citations

ISI Web of Science

Scopus - 43 Citations

Other information

Authenticus ID: P-00K-P0B

DOI: 10.1063/1.4958717

Abstract (EN): This paper proposes a novel approach for generating multi-scroll chaotic attractors in multi-directions for fractional-order (FO) systems. The stair nonlinear function series and the saturated nonlinear function are combined to extend equilibrium points with index 2 in a new FO linear system. With the help of stability theory of FO systems, stability of its equilibrium points is analyzed, and the chaotic behaviors are validated through phase portraits, Lyapunov exponents, and Poincare section. Choosing the order 0.96 as an example, a circuit for generating 2-D grid multiscroll chaotic attractors is designed, and 2-D 9 x 9 grid FO attractors are observed at most. Numerical simulations and circuit experimental results show that the method is feasible and the designed circuit is correct. Published by AIP Publishing.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9