Identification of quasiperiodic processes in the vicinity of the resonance

Fischer, Cyril; Náprstek, Jiří

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics CAS(Prague), page 57-64

Abstract

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In nonlinear dynamical systems, strong quasiperiodic beating effects appear due to combination of self-excited and forced vibration. The presence of symmetric or asymmetric beatings indicates an exchange of energy between individual degrees of freedom of the model or by multiple close dominant frequencies. This effect is illustrated by the case of the van der Pol equation in the vicinity of resonance. The approximate analysis of these nonlinear effects uses the harmonic balance method and the multiple scale method.

How to cite

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Fischer, Cyril, and Náprstek, Jiří. "Identification of quasiperiodic processes in the vicinity of the resonance." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2023. 57-64. <http://eudml.org/doc/299014>.

@inProceedings{Fischer2023,
abstract = {In nonlinear dynamical systems, strong quasiperiodic beating effects appear due to combination of self-excited and forced vibration. The presence of symmetric or asymmetric beatings indicates an exchange of energy between individual degrees of freedom of the model or by multiple close dominant frequencies. This effect is illustrated by the case of the van der Pol equation in the vicinity of resonance. The approximate analysis of these nonlinear effects uses the harmonic balance method and the multiple scale method.},
author = {Fischer, Cyril, Náprstek, Jiří},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {dynamical systems; quasiperiodic response; van der Pol equation},
location = {Prague},
pages = {57-64},
publisher = {Institute of Mathematics CAS},
title = {Identification of quasiperiodic processes in the vicinity of the resonance},
url = {http://eudml.org/doc/299014},
year = {2023},
}

TY - CLSWK
AU - Fischer, Cyril
AU - Náprstek, Jiří
TI - Identification of quasiperiodic processes in the vicinity of the resonance
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2023
CY - Prague
PB - Institute of Mathematics CAS
SP - 57
EP - 64
AB - In nonlinear dynamical systems, strong quasiperiodic beating effects appear due to combination of self-excited and forced vibration. The presence of symmetric or asymmetric beatings indicates an exchange of energy between individual degrees of freedom of the model or by multiple close dominant frequencies. This effect is illustrated by the case of the van der Pol equation in the vicinity of resonance. The approximate analysis of these nonlinear effects uses the harmonic balance method and the multiple scale method.
KW - dynamical systems; quasiperiodic response; van der Pol equation
UR - http://eudml.org/doc/299014
ER -

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