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Conceptualizing Synchronization Phenomena and its Applications
KTH, School of Engineering Sciences (SCI).
2016 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

Abstract

Synchronization phenomena is evident in a number of different processes, both natural

and artificial. The present thesis aims to investigate such phenomena by looking at what

the necessary parameters are for the modeling of such phenomena and what models that

have been proposed. The phenomena as such is then applied in the treatment of synchronizing

an audio-recording that is off-time to a metronome in 4/4 running at 120 bpm.

The thesis introduces the notion of synchronization first and foremost and then gives

background on what the necessary tools are for the scientific study of synchronization.

The background given allows one to construct a mathematical framework for modeling

synchronization and the thesis thus arrives at the Kuramoto Model. The Kuramoto

model is applied in the treatment of the audio and metronome. With a coupling strength

of K = 1 in the Kuramoto model, near-perfect synchrony is achieved immediately after

just one iteration of the model with phase-coherence = 0:9999. Changing the coupling

strength to K = 0:5, synchrony arises after 6 iterations of the model for which the process

develops smoothly. Synchrony can be achieved for any coupling strength K for this

particular problem as both audio and metronome run at an angular frequency ! = 2=s

[2].

Place, publisher, year, edition, pages
2016. , 28 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-193655OAI: oai:DiVA.org:kth-193655DiVA: diva2:1033496
Educational program
Master of Science in Engineering -Engineering Physics
Available from: 2016-10-10 Created: 2016-10-07 Last updated: 2016-10-10Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
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Language
  • de-DE
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Output format
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