MAT244-2018S > Web Bonus Problems

Phaseportrait

**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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