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Author:

Wei, Zhouchao (Wei, Zhouchao.) | Akgul, Akif (Akgul, Akif.) | Kocamaz, Ugur Erkin (Kocamaz, Ugur Erkin.) | Moroz, Irene (Moroz, Irene.) | Zhang, Wei (Zhang, Wei.)

Indexed by:

EI Scopus SCIE

Abstract:

Based on the segmented disc dynamo proposed by H. K. Moffatt, we give out the hidden chaotic attractors, which can show the imperfection in the dynamo model. In this paper. control of hidden chaos in the model is investigated by Lyapunov based nonlinear feedback controllers, sliding mode controllers and hybrid combination of them. Numerical simulations on the comparative analyses are presented. Moreover, with the aid of ORCAD-Pspice and oscilloscope, hidden chaos can be implemented by electronic circuit. Compared with the phase portraits using MATLAB, the simulation results of the oscilloscope outputs verify the effectiveness of electronic circuit design. Finally, in order to consider the effects of fractional order, we analyze the fractional order chaotic system (FOCS) and consider its FPGA implementation for the self-exciting homopolar disc dynamo. The results are helpful for us to better understand the dynamics behavior of disc dynamos. (C) 2018 Elsevier Ltd. All rights reserved.

Keyword:

Chaos control Homopolar disc dynamo Hidden attractor Fractional order chaotic system Circuit application FPGA realization

Author Community:

  • [ 1 ] [Wei, Zhouchao]China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China
  • [ 2 ] [Wei, Zhouchao]Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Optimiza, Yulin 537000, Peoples R China
  • [ 3 ] [Wei, Zhouchao]Univ Oxford, Math Inst, Oxford OX2 6GG, England
  • [ 4 ] [Moroz, Irene]Univ Oxford, Math Inst, Oxford OX2 6GG, England
  • [ 5 ] [Akgul, Akif]Sakarya Univ, Fac Technol, Dept Elect & Elect Engn, TR-54187 Sakarya, Turkey
  • [ 6 ] [Kocamaz, Ugur Erkin]Uludag Univ, Vocat Sch Karacabey, Dept Comp Technol, TR-16700 Karacabey, Bursa, Turkey
  • [ 7 ] [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Wei, Zhouchao]China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China

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Source :

CHAOS SOLITONS & FRACTALS

ISSN: 0960-0779

Year: 2018

Volume: 111

Page: 157-168

7 . 8 0 0

JCR@2022

ESI Discipline: PHYSICS;

ESI HC Threshold:145

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 27

SCOPUS Cited Count: 29

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 13

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