Generation of a family of fractional order hyper-chaotic multi-scroll attractors

• Type: Article in International Scientific Journal
• Date: 2017

Authors

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

Journal

Title: Chaos, Solitons & Fractals

Vol. 105

Pages: 244-255

ISSN: 0960-0779

Indexing

ISI Web of Knowledge - 24 Citations

Scopus - 24 Citations

Other information

Authenticus ID: P-00N-6PM

DOI: 10.1016/j.chaos.2017.10.032

Abstract (EN): An unified method to yield a family of fractional-order (FO) hyper-chaotic multi-scroll (HCMS) systems in R-n is proposed. Firstly, a new simple 3-dimensional (3-D) FO unstable linear system is introduced. Afterwards, additional variables are added and one nonlinear controller with adjustable parameters is included to generate HCMS attractors. A guideline to construct HCMS systems of any dimension is presented, that is verified along within the dynamics of three examples, namely 4-D, 5-D and 10-D FO HCMS systems. Phase portraits, Poincare maps and two positive Lyapunov exponents are calculated. Moreover, a circuit of 0.96-order is also designed to realize one 4-D FO HCMS system. Numerical simulations and circuit simulation results show the feasibility of the novel approach.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12