System of first order equations, Mathematics

Assignment Help:

Consider the Van der Pol oscillator

x′′- µ(1 - x2)x′ + x = 0

(a) Write this equation as a system of first order equations

(b) Taking µ = 2, use MatLab's routine ode45 to compute the solution for the initial value problem x(0) = 0 and x′ (0) = 5 from t = 0 to t = 40. Plot x as a function of t and also plot x vs x′ in phase-space.

(c) Repeat for the initial conditions x(0) = 0 and x′ (0) = 0.01.

(d) What is the ?xed point of the system? Use your numerical results to argue what the long time behavior of the system is.


Related Discussions:- System of first order equations

Fractions, what is the lowest term of 11/121

what is the lowest term of 11/121

Test of hypothesis on proportions, Test Of Hypothesis On Proportions It...

Test Of Hypothesis On Proportions It follows a similar method to the one for means except that the standard error utilized in this case: Sp = √(pq/n)  Z score is computed

5th grade, 6 and 3/8 minus 1 and 3/4

6 and 3/8 minus 1 and 3/4

One step ahead, how do we figure it out here is an example 3,4,6,9,_,_,_,_...

how do we figure it out here is an example 3,4,6,9,_,_,_,_,_,. please help

Determine rank correlation coefficient, Determine Rank Correlation Coef...

Determine Rank Correlation Coefficient A group of 8 accountancy students are tested in Quantitative Techniques and Law II.  Their rankings in the two tests were as:

Algebra, solve for y 3x+4y=7

solve for y 3x+4y=7

Power series and functions - sequences and series, Power Series and Functio...

Power Series and Functions We opened the previous section by saying that we were going to start thinking about applications of series and after that promptly spent the section

Weight, if an object weighed 11 pounds how many ounces would it weigh

if an object weighed 11 pounds how many ounces would it weigh

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd