Paper Titles

Preface and Committees

On the Van Der Pol Oscillator: an Overview
p.3

Nonlinear Oscillators with a Power-Form Restoring Force: Non-Isochronous and Isochronous Case
p.14

Approximate Solutions to a Cantilever Beam Using Optimal Homotopy Asymptotic Method
p.22

Optimal Homotopy Asymptotic Approach to Self-Excited Vibrations
p.27

Physical Instability and Functional Uncertainties of the Dynamic Systems in Resonance
p.32

Approximate Analytical Solutions to Nonlinear Vibrations of a Thin Elastic Plate
p.40

The Study of the Pendulum with Heavy Neo-Hookean Rod
p.45

The Vibrations of the Engine with Neo-Hookean Suspension
p.53

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 430On the Van Der Pol Oscillator: an Overview

On the Van Der Pol Oscillator: an Overview

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Abstract:

In this paper an overview of the self-sustained oscillators is given. The standard van der Pol and the Rayleigh oscillators are considered as basic ones. The cubic nonlinear term of Duffing type is included. The special attention is given to the various complex systems based on the Rayleighs and van der Pols oscillator which are extended with the nonlinear oscillators of Duffing type and also excited with a periodical force. The connection is with the linear elastic force or with linear damping force. The objectives for future investigation are given in this matter.

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Periodical:

Applied Mechanics and Materials (Volume 430)

Pages:

3-13

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.430.3

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Online since:

September 2013

Authors:

Livija Cveticanin

Keywords:

Limit Cycle Motion, Rayleigh Oscillator, Self-Sustained Vibrations, Van Der Pol Oscillator

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