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Author:

Wang, Faqiang (Wang, Faqiang.) | Cao, Hongbo (Cao, Hongbo.) | Zhai, Dingding (Zhai, Dingding.)

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Abstract:

Due to the complex behavior of a multiscroll chaotic system, it is a good candidate for the secure communications. In this paper, by adding an additional variable to the modified Lorenz-type system, a new chaotic system that includes only linear and piecewise items but can generate 4n + 4 scroll chaotic attractors via choosing the various values of natural number n is proposed. Its dynamics including bifurcation, multistability, and symmetric coexisting attractors, as well as various chaotic and periodic behaviors, are analyzed by means of attraction basin, bifurcation diagram, dynamic map, phase portrait, Lyapunov exponent spectrum, and C0 complexity in detail. The mechanism of the occurrence for generating multiscroll chaotic attractors is presented. Finally, this multiscroll chaotic system is implemented by using the Altera Cyclone IV EP4CE10F17C8 FPGA. It is found that this FPGA-based design has an advantage of requiring less resources for 0% of the embedded multipliers and 0% of the PLLs of this FPGA are occupied. © 2021 Faqiang Wang et al.

Keyword:

Bifurcation (mathematics) Chaotic systems Field programmable gate arrays (FPGA) Lyapunov methods Piecewise linear techniques

Author Community:

  • [ 1 ] [Wang, Faqiang]State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'An Jiaotong University, Xi'an; 710049, China
  • [ 2 ] [Cao, Hongbo]State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'An Jiaotong University, Xi'an; 710049, China
  • [ 3 ] [Zhai, Dingding]State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'An Jiaotong University, Xi'an; 710049, China

Reprint Author's Address:

  • [Wang, Faqiang]State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'An Jiaotong University, Xi'an; 710049, China;;

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Source :

Complexity

ISSN: 1076-2787

Year: 2021

Volume: 2021

2 . 8 3 3

JCR@2020

ESI Discipline: MATHEMATICS;

ESI HC Threshold:13

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 3

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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