MAT244-2018S > Web Bonus Problems

Phaseportrait

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Victor Ivrii:
Sketch the phaseportrait for the system below. Anyone can post a different solution, but there is a catch: it should be drawn with different s/w than already used and this s/w must be reported
\begin{align}
&x'= \sin(x)\cos(y)\\
&y'=-\cos(x)\sin(y) && -4\le x\le 4, \ -4\le y \le 4
\end{align}

Darren Zhang:
Attached is the phase portrait.
I use Matlab
The type of this is centre, as is shown in handout 9, 3b http://www.math.toronto.edu/courses/mat244h1/20181/LN/Ch7-LN9.pdf.
It's purely imaginary numbers, and it's stable.

Kexin Sun:
Use online technique to plot:
http://www.bluffton.edu/homepages/facstaff/nesterd/java/slopefields.html

Meng Wu:
WolframAlpha

Victor Ivrii:
Now explain it!!!

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