English
 
Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Tweaking synchronization by connectivity modifications

Schultz, P., Peron, T. K. D., Eroglu, D., Stemler, T., Ramírez Ávila, G. M., Rodrigues, F. A., Kurths, J. (2016): Tweaking synchronization by connectivity modifications. - Physical Review E, 93, 062211.
https://doi.org/10.1103/PhysRevE.93.062211

Item is

Files

show Files
hide Files
:
7203.pdf (Publisher version), 900KB
 
File Permalink:
-
Name:
7203.pdf
Description:
-
Visibility:
Private
MIME-Type / Checksum:
application/pdf
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
License:
-
:
20935oa.pdf (Postprint), 3MB
Name:
20935oa.pdf
Description:
-
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
License:
-

Locators

show

Creators

show
hide
 Creators:
Schultz, Paul1, Author              
Peron, Thomas K. D.1, Author              
Eroglu, Deniz1, Author              
Stemler, T.2, Author
Ramírez Ávila, G. M.2, Author
Rodrigues, F. A.2, Author
Kurths, Jürgen1, Author              
Affiliations:
1Potsdam Institute for Climate Impact Research, ou_persistent13              
2External Organizations, ou_persistent22              

Content

show
hide
Free keywords: -
 Abstract: Natural and man-made networks often possess locally treelike substructures. Taking such tree networks as our starting point, we show how the addition of links changes the synchronization properties of the network. We focus on two different methods of link addition. The first method adds single links that create cycles of a well-defined length. Following a topological approach, we introduce cycles of varying length and analyze how this feature, as well as the position in the network, alters the synchronous behavior. We show that in particular short cycles can lead to a maximum change of the Laplacian's eigenvalue spectrum, dictating the synchronization properties of such networks. The second method connects a certain proportion of the initially unconnected nodes. We simulate dynamical systems on these network topologies, with the nodes' local dynamics being either discrete or continuous. Here our main result is that a certain number of additional links, with the relative position in the network being crucial, can be beneficial to ensure stable synchronization.

Details

show
hide
Language(s):
 Dates: 2016
 Publication Status: Finally published
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevE.93.062211
PIKDOMAIN: Transdisciplinary Concepts & Methods - Research Domain IV
eDoc: 7203
Research topic keyword: Nonlinear Dynamics
Research topic keyword: Complex Networks
Model / method: Open Source Software
Organisational keyword: RD4 - Complexity Science
Working Group: Network- and machine-learning-based prediction of extreme events
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Physical Review E
Source Genre: Journal, SCI, Scopus, p3
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 93 Sequence Number: 062211 Start / End Page: - Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/150218