Synchronization in Tempered Fractional Complex Networks via Auxiliary System Approach
Joint Authors
Li, Changpin
Ma, Weiyuan
Deng, Jingwei
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-11-25
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In the famous continuous time random walk (CTRW) model, because of the finite lifetime of biological particles, it is sometimes necessary to temper the power law measure such that the waiting time measure has a convergent first moment.
The CTRW model with tempered waiting time measure is the so-called tempered fractional derivative.
In this article, we introduce the tempered fractional derivative into complex networks to describe the finite life span or bounded physical space of nodes.
Some properties of the tempered fractional derivative and tempered fractional systems are discussed.
Generalized synchronization in two-layer tempered fractional complex networks via pinning control is addressed based on the auxiliary system approach.
The results of the proposed theory are used to derive a sufficient condition for achieving generalized synchronization of tempered fractional networks.
Numerical simulations are presented to illustrate the effectiveness of the methods.
American Psychological Association (APA)
Ma, Weiyuan& Li, Changpin& Deng, Jingwei. 2019. Synchronization in Tempered Fractional Complex Networks via Auxiliary System Approach. Complexity،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1132326
Modern Language Association (MLA)
Ma, Weiyuan…[et al.]. Synchronization in Tempered Fractional Complex Networks via Auxiliary System Approach. Complexity No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1132326
American Medical Association (AMA)
Ma, Weiyuan& Li, Changpin& Deng, Jingwei. Synchronization in Tempered Fractional Complex Networks via Auxiliary System Approach. Complexity. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1132326
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132326