Perturbation procedure for the Van der Pol oscillator based on the Hopf bifurcation theorem-Reference-Cited by-同舟云学术

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Perturbation procedure for the Van der Pol oscillator based on the Hopf bifurcation theorem

Published:1988-11 Issue:1 Volume:127 Page:187-191
ISSN:0022-460X
Container-title:Journal of Sound and Vibration
language:en
Short-container-title:Journal of Sound and Vibration

Author:

Mickens R.E.

Publisher

Elsevier BV

Subject

Mechanical Engineering,Mechanics of Materials,Acoustics and Ultrasonics,Condensed Matter Physics

Reference6 articles.

1. Mathematics for Dynamic Modeling;Beltrami,1987

2. Nonlinear Oscillations;Mickens,1981

3. Lectures on Nonlinear Differential Equation Models in Biology;Murray,1977

4. Elementary Stability and Bifurcation Theory;Iooss,1980

5. A new negative resistance oscillator model;Walker;Circuits Systems Signal Processes,1983

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Numerical Simulation of Van der Pol Equation Using Multiple Scales Modified Lindstedt–Poincare Method;Proceedings of the National Academy of Sciences, India Section A: Physical Sciences;2020-01-28

2. Optimal Parametric Iteration Method;Nonlinear Dynamical Systems in Engineering;2011-10-03

3. An Iteration Procedure with Application to Van der Pol Oscillator;International Journal of Nonlinear Sciences and Numerical Simulation;2009-01

4. A simple approach of enlarging convergence regions of perturbation approximations;Nonlinear Dynamics;1999

5. A non-linear seales method for strongly non-linear oscillators;Nonlinear Dynamics;1995-04

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