Analysis of Dynamics of Nonlinear Duffing-Van-der-Pole Oscillator Using Versal Models

Valeriy V. Udilov

doi:10.1615/JAutomatInfScien.v32.i5.20

Journal of Automation and Information Sciences

Editor en Jefe: Arkadiy A. Chikriy (open in a new tab)

Editor Asociados: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Publicado 12 números por año

ISSN Imprimir: 1064-2315

ISSN En Línea: 2163-9337

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Analysis of Dynamics of Nonlinear Duffing-Van-der-Pole Oscillator Using Versal Models

Volumen 32, Edición 5, 2000, pp. 9-19

DOI: 10.1615/JAutomatInfScien.v32.i5.20

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Valeriy V. Udilov
The International Research and Training Center of Information Technologies and Systems of National Academy of Sciences of Ukraine and Ministry of Education of Ukraine, Kyiv

SINOPSIS

The technique of investigation of robust changes in the phase space structure of nonlinear oscillator of Duffing-Van-der-Pol type, based on versal models of dynamical systems with variable parameters, is presented. This technique provides an opportunity of subdivision of the vector field singularities variety by the types of corresponding phase portraits and enables one to investigate the phase space structure changes for nonlinear oscillator under critical parameters variations.

PALABRAS CLAVE: one-parametric oscillators, qualitative theory, singular points, phase space, control parameters.

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