Synchronous motion of two vertically excited planar elastic pendula

Marcin Tomasz Kapitaniak; Przemyslaw Perlikowski; Tomasz Kapitaniak

doi:10.1016/j.cnsns.2012.12.030

Synchronous motion of two vertically excited planar elastic pendula

Marcin Tomasz Kapitaniak^* (Corresponding Author), Przemyslaw Perlikowski, Tomasz Kapitaniak

^*Corresponding author for this work

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Abstract

The dynamics of two planar elastic pendula mounted on the horizontally excited platform have been studied. We give evidence that the pendula can exhibit synchronous oscillatory and rotation motion and show that stable in-phase and anti-phase synchronous states always co-exist. The complete bifurcational scenario leading from synchronous to asynchronous motion is shown. We argue that our results are robust as they exist in the wide range of the system parameters.

Original language	English
Pages (from-to)	2088-2096
Number of pages	9
Journal	Communications in Nonlinear Science & Numerical Simulation
Volume	18
Issue number	8
Early online date	7 Jan 2013
DOIs	https://doi.org/10.1016/j.cnsns.2012.12.030
Publication status	Published - Aug 2013

Keywords

coupled oscillators
elastic pendulum
synchronization

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10.1016/j.cnsns.2012.12.030

Synchronous motion of two vertically excited planar elastic pendula revised
NOTICE: this is the author’s version of a work that was accepted for publication in Communications in Nonlinear Science & Numerical Simulation. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in COMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION, [VOL 18, ISSUE 8, (2013)] DOI: 10.1016/j.cnsns.2012.12.030
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Cite this

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title = "Synchronous motion of two vertically excited planar elastic pendula",

abstract = "The dynamics of two planar elastic pendula mounted on the horizontally excited platform have been studied. We give evidence that the pendula can exhibit synchronous oscillatory and rotation motion and show that stable in-phase and anti-phase synchronous states always co-exist. The complete bifurcational scenario leading from synchronous to asynchronous motion is shown. We argue that our results are robust as they exist in the wide range of the system parameters.",

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AU - Kapitaniak, Marcin Tomasz

AU - Perlikowski, Przemyslaw

AU - Kapitaniak, Tomasz

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N2 - The dynamics of two planar elastic pendula mounted on the horizontally excited platform have been studied. We give evidence that the pendula can exhibit synchronous oscillatory and rotation motion and show that stable in-phase and anti-phase synchronous states always co-exist. The complete bifurcational scenario leading from synchronous to asynchronous motion is shown. We argue that our results are robust as they exist in the wide range of the system parameters.

AB - The dynamics of two planar elastic pendula mounted on the horizontally excited platform have been studied. We give evidence that the pendula can exhibit synchronous oscillatory and rotation motion and show that stable in-phase and anti-phase synchronous states always co-exist. The complete bifurcational scenario leading from synchronous to asynchronous motion is shown. We argue that our results are robust as they exist in the wide range of the system parameters.

KW - coupled oscillators

KW - elastic pendulum

KW - synchronization

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JO - Communications in Nonlinear Science & Numerical Simulation

JF - Communications in Nonlinear Science & Numerical Simulation

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Synchronous motion of two vertically excited planar elastic pendula

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Keywords

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