Delay-independent Synchronization in Ring Networks of Identical/Non-identical Systems with Transmission Delay Couplings

This paper investigates synchronization phenomena occurring in networks of chaotic systems with delays. In particular, we focus on delay-independent synchronization in ring networks of systems with transmission delays. First, we show that all the systems in ring networks consisting of an odd number...

Full description

Saved in:
Bibliographic Details
Published in:Mathematical modelling of natural phenomena 2017-01, Vol.12 (4), p.91-108
Main Authors: Yanagi, D., Oguchi, T., Suzuki, M.
Format: Article
Language:English
Subjects:
34D06
37B25
92B25
Chaos theory
chaotic neuron systems
Couplings
Delay
delay-independent stability
Networks
Synchronism
Synchronization
synchronization problem
Time synchronization
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper investigates synchronization phenomena occurring in networks of chaotic systems with delays. In particular, we focus on delay-independent synchronization in ring networks of systems with transmission delays. First, we show that all the systems in ring networks consisting of an odd number of systems synchronize for any constant time-delay. Next, we also show that if the number of systems in ring networks is even, then partial synchronization can be observed regardless of the length of time-delay. In this case, full synchronization may also be observed as a special case of partial synchronization. In addition, we show that if two different dynamical systems are alternately arranged in even-sized ring networks, synchronization occurs among systems with the identical dynamics for any time-delay. Numerical examples show the validity of these theoretical results.
ISSN:1760-6101
0973-5348
1760-6101
DOI:10.1051/mmnp/201712408