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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2016

Autores

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

Revista

Título: Chaos

Vol. 26

ISSN: 1054-1500

Editora: American Institute of Physics

Indexação

ISI Web of Knowledge - 39 Citações

ISI Web of Science

Scopus - 43 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 9