The solution maple gives is:

QUESTION:

Given a particular value for a,q, and omega.

How would I plot x(t) against time in Maple? 

* This may be really easy to do (or not) but I am still getting used to maple and would appreciate any help anyone can offer.

Thanks!

The solution maple gives is:

QUESTION:

Given a particular value for a,q, and omega.

How would I plot x(t) against time in Maple? 

* This may be really easy to do (or not) but I am still getting used to maple and would appreciate any help anyone can offer.

Thanks!

@ecterrab Thanks for your post!!

So there is no way to plot those transition curves inbetween a0, a1, a2,... b1, b2, b3, etc. That is a shame!

@ecterrab Thanks for your post!!

So there is no way to plot those transition curves inbetween a0, a1, a2,... b1, b2, b3, etc. That is a shame!

Its been almost a year and still no one has even attempted an answer. 

Is it impossible to do this in Maple or is just that those select people who know how to do this haven't seen the post?

@Markiyan Hirnyk 

Ah! I see...You are correct. The trem beta does not appear in the link. But the stability diagrm is there none the less.

Like I said, I am no expert at all.

I have some further information in a document but I am unable to attach it... :-/

I have found this online:

http://books.google.co.uk/books?id=JDKCoIshgSIC&pg=PA44&lpg=PA44&dq=mathieu+stability+lines&source=bl&ots=GNdqkLHSlN&sig=2jcsGGG_0j-8E7u3E-gIqN2WGYs&hl=en&sa=X&ei=YFlfT6CEEYqgOrX55P0H&ved=0CCYQ6AEwATgK#v=onepage&q=mathieu%20stability%20lines&f=false

Hopefully that helps.

Thanks :-)

@Markiyan Hirnyk Fair comment. My apologies. By the way, nor am I :-)

After some digging, from the solution to the equation, one is able to obtain a parameter beta which is a function of a and q and is used to define the stability boundary. The stability boundary is marked by beta = 0 and beta = 1 curves. The stability diagram is plotted in a,q space.

Hope this helps. 

thanks :-)