Mozart Piano Concerto

Mozart Piano Concerto No.27 In B Flat, KV 595- 1 Allegro - Various Artists




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Mozart Piano Concerto No.27 In B Flat, KV595- 2 Larghetto - Various Artists




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Mozart Piano Concerto No.27 In B Flat, KV 595- 3 Allegro - Various Artists

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1

Co Hong Tran

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A LITTLE SMILE - I BELIEVE IN YOU

THE SOLUTION STABILITY OF VAN DER POL'S EQUATION .

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 United States License.

THE SOLUTION STABILITY OF VAN DER POL'S EQUATION .

THE SOLUTION STABILITY OF

VAN DER POL'S EQUATION .

by CO. H . TRAN .

HUI - NCU HCMC

Vietnam coth123@math.com & cohtran@math.com Copyright 2004 November 06 2004 ------------------------------------------------------------------------------------------------------------------------------------------------------------------------ ** Abstract : The Van der Pol differential quation is solved by averaging method . ** Subjects: Vibration Mechanics , The Differential equations . ------------------------------------------------------------------------------------------------------------------------------------------------------------------------Introduction This worksheet demonstrates Maple's capabilities in finding the graphical solution and dealing with the stability of the steady state solution of Van der Pol 's differential equation . All rights reserved. Copying or transmitting of this material without the permission of the authors is not allowed . We consider the Van Der Pol differential equation :

[0] Two topics that we will be in discussion are - Finding the steady state solution of this equation by averaging method .- Estimating the stability of solution obtained . 1 .Define the model of problem : We examine the effect of non-linear system under external force caused by the AC generator ( see fig 1. ) ( fig 1. ) The differential equation of this model is given in the form + [1] After simplifying we obtain : [2]