Dynamics feature and synchronization of a robust fractional-order chaotic system
type: Item
instance of: scholarly article
title: Dynamics feature and synchronization of a robust fractional-order chaotic system
zbMATH Open document ID: 1407.37055
DOI: 10.1155/2018/8797314
author: Xuan-Bing Yang
author: Yigang He
author: Chunlai Li
published in: Complexity
publication date: 2019-02-19T00:00:00Z
review text: Summary: Exploring the dynamics feature of robust chaotic system is an attractive yet recent topic of interest. In this paper, we introduce a three-dimensional fractional-order chaotic system. The important finding by analysis is that the position of signal \(x_3\) descends at the speed of \(1/c\) as the parameter \(b\) increases, and the signal amplitude of \(x_1\), \(x_2\) can be controlled by the parameter \(m\) in terms of the power function with the index \(-1/2\). What is more, the dynamics remains constant with the variation of parameters \(b\) and \(m\). Consequently, this system can provide rich encoding keys for chaotic communication. By considering the properties of amplitude and position modulation, the partial projective synchronization and partial phase synchronization are realized with linear control scheme. The distribution map of optimal synchronization region in the control-parameter space is charted by defining the power consumption of controller. Numerical simulations are executed to confirm the theoretical analysis.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 34D06
zbMATH DE Number: 7025201
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8797314
OpenAlex ID: W2902094676
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description: scientific article; zbMATH DE number 7025201