Cluster synchronization of dry friction oscillators
Synchronization is a well known phenomenon in non-linear dynamics and is treated as correlation in time of at least two different processes. In scope of this article, we focus on complete and cluster synchronization in the systems of coupled dry friction oscillators, coupled by linear springs. The b...
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2018-01-01
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Series: | MATEC Web of Conferences |
Online Access: | https://doi.org/10.1051/matecconf/201814810004 |
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doaj-49f11fcc13f2416686b0549273a74e532021-04-02T15:32:28ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-011481000410.1051/matecconf/201814810004matecconf_icoev2018_10004Cluster synchronization of dry friction oscillatorsMarszal MichałStefański AndrzejSynchronization is a well known phenomenon in non-linear dynamics and is treated as correlation in time of at least two different processes. In scope of this article, we focus on complete and cluster synchronization in the systems of coupled dry friction oscillators, coupled by linear springs. The building block of the system is the classic stick-slip oscillator, which consists of mass, spring and belt-mass friction interface. The Stribeck friction itself is modelled using Stribeck friction model with exponential non-linearity. The oscillators in the systems are connected in nearest neighbour fashion, both in open and closed ring topology. We perform a numerical study of the properties of the dynamics of the systems in question, in two-parameter space (coupling coefficient vs. angular excitation frequency) and explore the possible configurations of cluster synchronization.https://doi.org/10.1051/matecconf/201814810004 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Marszal Michał Stefański Andrzej |
spellingShingle |
Marszal Michał Stefański Andrzej Cluster synchronization of dry friction oscillators MATEC Web of Conferences |
author_facet |
Marszal Michał Stefański Andrzej |
author_sort |
Marszal Michał |
title |
Cluster synchronization of dry friction oscillators |
title_short |
Cluster synchronization of dry friction oscillators |
title_full |
Cluster synchronization of dry friction oscillators |
title_fullStr |
Cluster synchronization of dry friction oscillators |
title_full_unstemmed |
Cluster synchronization of dry friction oscillators |
title_sort |
cluster synchronization of dry friction oscillators |
publisher |
EDP Sciences |
series |
MATEC Web of Conferences |
issn |
2261-236X |
publishDate |
2018-01-01 |
description |
Synchronization is a well known phenomenon in non-linear dynamics and is treated as correlation in time of at least two different processes. In scope of this article, we focus on complete and cluster synchronization in the systems of coupled dry friction oscillators, coupled by linear springs. The building block of the system is the classic stick-slip oscillator, which consists of mass, spring and belt-mass friction interface. The Stribeck friction itself is modelled using Stribeck friction model with exponential non-linearity. The oscillators in the systems are connected in nearest neighbour fashion, both in open and closed ring topology. We perform a numerical study of the properties of the dynamics of the systems in question, in two-parameter space (coupling coefficient vs. angular excitation frequency) and explore the possible configurations of cluster synchronization. |
url |
https://doi.org/10.1051/matecconf/201814810004 |
work_keys_str_mv |
AT marszalmichał clustersynchronizationofdryfrictionoscillators AT stefanskiandrzej clustersynchronizationofdryfrictionoscillators |
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1721559768877760512 |