Design of fractional-order hyper-chaotic multi-scroll systems based on hysteresis series

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

Authors

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

Journal

Title: European Physical Journal: Special Topics

Vol. 226

Pages: 3775-3789

ISSN: 1951-6355

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 10 Citations

Scopus - 10 Citations

Other information

Authenticus ID: P-00P-3CM

DOI: 10.1140/epjst/e2018-00012-8

Abstract (EN): This paper develops a novel fractional-order (FO) hyper-chaotic multi-scroll (FOHMS) system derived from a 4-dimensional FO linear system. Hysteresis function series are employed and added to the original system to extend the number of equilibrium points with index 2. The hyper-chaotic dynamics of the new FOHMS system is explored through phase portraits, largest Lyapunov exponents and Poincar, maps. A circuit for the 0.96-order FOHMS is implemented and several FOHMS attractors are observed. Numerical and circuit-based simulations show the feasibility of the theoretical formulation.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 15