A new fractional-order chaotic complex system and its antisynchronization
type: Item
instance of: scholarly article
title: A new fractional-order chaotic complex system and its antisynchronization
zbMATH Open document ID: 1472.37045
DOI: 10.1155/2014/326354
author: Cui-Mei Jiang
author: Shutang Liu
author: Chao Luo
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We propose a new fractional-order chaotic complex system and study its dynamical properties including symmetry, equilibria and their stability, and chaotic attractors. Chaotic behavior is verified with phase portraits, bifurcation diagrams, the histories, and the largest Lyapunov exponents. And we find that chaos exists in this system with orders less than 5 by numerical simulation. Additionally, antisynchronization of different fractional-order chaotic complex systems is considered based on the stability theory of fractional-order systems. This new system and the fractional-order complex Lorenz system can achieve antisynchronization. Corresponding numerical simulations show the effectiveness and feasibility of the scheme.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34D06
zbMATH DE Number: 7022175
zbMATH Keywords: chaotic behavior
zbMATH Keywords: antisynchronization
zbMATH Keywords: fractional-order systems
Wikidata QID: Q59036193
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/326354
OpenAlex ID: W2033421535
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description: scientific article; zbMATH DE number 7022175