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

Главный редактор: Arkadiy A. Chikriy (open in a new tab)

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

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ISSN Печать: 1064-2315

ISSN Онлайн: 2163-9337

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

Том 32, Выпуск 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

Краткое описание

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.

Ключевые слова: one-parametric oscillators, qualitative theory, singular points, phase space, control parameters.

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