Complex Modified Projective Synchronization of Fractional-Order Complex-Variable Chaotic System with Unknown Complex Parameters

Ruoxun Zhang; Shiwen Feng; Shiping Yang

doi:10.3390/e21040407

Entropy (Apr 2019)

Complex Modified Projective Synchronization of Fractional-Order Complex-Variable Chaotic System with Unknown Complex Parameters

Ruoxun Zhang,
Shiwen Feng,
Shiping Yang

Affiliations

Ruoxun Zhang: College of Primary Education, Xingtai University, Xingtai 054001, China
Shiwen Feng: College of Primary Education, Xingtai University, Xingtai 054001, China
Shiping Yang: College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China

DOI: https://doi.org/10.3390/e21040407
Journal volume & issue: Vol. 21, no. 4
p. 407

Abstract

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This paper investigates the problem of complex modified projective synchronization (CMPS) of fractional-order complex-variable chaotic systems (FOCCS) with unknown complex parameters. By a complex-variable inequality and a stability theory for fractional-order nonlinear systems, a new scheme is presented for constructing CMPS of FOCCS with unknown complex parameters. The proposed scheme not only provides a new method to analyze fractional-order complex-valued systems but also significantly reduces the complexity of computation and analysis. Theoretical proof and simulation results substantiate the effectiveness of the presented synchronization scheme.

Published in Entropy

ISSN: 1099-4300 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Astronomy: Astrophysics; Science: Physics
Website: http://www.mdpi.com/journal/entropy

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