Huygens' synchronization: experiments, modeling, and local stability analysis

F.N. Hoogeboom; A.Y. Pogromsky; H. Nijmeijer

doi:10.1016/j.ifacol.2015.11.027

Huygens' synchronization: experiments, modeling, and local stability analysis

F.N. Hoogeboom, A.Y. Pogromsky, H. Nijmeijer

Dynamics and Control

Research output: Contribution to journal › Conference article › peer-review

3 Citations (Scopus)

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Abstract

The synchronization of two metronomes on a freely moving platform is examined. Existence and local stability of the synchronized solutions is studied when the platform parameters are subject to change, i.e., a numerical continuation and bifurcation software tool is used to reveal local stability of the in-and/or anti-phase synchronized state as function of system parameters. It is demonstrated that the platform parameter values have a significant influence on the stability of the anti-phase synchronized solution.

Original language	English
Pages (from-to)	146-151
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	48
Issue number	18
DOIs	https://doi.org/10.1016/j.ifacol.2015.11.027
Publication status	Published - 1 Nov 2015
Event	4th IFAC Conference on Analysis and Control of Chaotic Systems (IFAC CHAOS 2015) - Tokyo, Japan Duration: 26 Aug 2015 → 28 Aug 2015 Conference number: 4 http://ctrl.mech.se.tmu.ac.jp/chaos2015/

Keywords

Mechanical systems
Nonlinear systems
Stability analysis
Synchronization

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10.1016/j.ifacol.2015.11.027

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abstract = "The synchronization of two metronomes on a freely moving platform is examined. Existence and local stability of the synchronized solutions is studied when the platform parameters are subject to change, i.e., a numerical continuation and bifurcation software tool is used to reveal local stability of the in-and/or anti-phase synchronized state as function of system parameters. It is demonstrated that the platform parameter values have a significant influence on the stability of the anti-phase synchronized solution.",

keywords = "Mechanical systems, Nonlinear systems, Stability analysis, Synchronization",

author = "F.N. Hoogeboom and A.Y. Pogromsky and H. Nijmeijer",

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TY - JOUR

T1 - Huygens' synchronization

T2 - 4th IFAC Conference on Analysis and Control of Chaotic Systems (IFAC CHAOS 2015)

AU - Hoogeboom, F.N.

AU - Pogromsky, A.Y.

AU - Nijmeijer, H.

N1 - Conference code: 4

PY - 2015/11/1

Y1 - 2015/11/1

N2 - The synchronization of two metronomes on a freely moving platform is examined. Existence and local stability of the synchronized solutions is studied when the platform parameters are subject to change, i.e., a numerical continuation and bifurcation software tool is used to reveal local stability of the in-and/or anti-phase synchronized state as function of system parameters. It is demonstrated that the platform parameter values have a significant influence on the stability of the anti-phase synchronized solution.

AB - The synchronization of two metronomes on a freely moving platform is examined. Existence and local stability of the synchronized solutions is studied when the platform parameters are subject to change, i.e., a numerical continuation and bifurcation software tool is used to reveal local stability of the in-and/or anti-phase synchronized state as function of system parameters. It is demonstrated that the platform parameter values have a significant influence on the stability of the anti-phase synchronized solution.

KW - Mechanical systems

KW - Nonlinear systems

KW - Stability analysis

KW - Synchronization

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U2 - 10.1016/j.ifacol.2015.11.027

DO - 10.1016/j.ifacol.2015.11.027

M3 - Conference article

AN - SCOPUS:84992478767

SN - 2405-8963

VL - 48

SP - 146

EP - 151

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 18

Y2 - 26 August 2015 through 28 August 2015

ER -

Huygens' synchronization: experiments, modeling, and local stability analysis

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Keywords

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