# Using Parallelize to Visualize StreamPlot

**URL:** <https://community.wolfram.com/t/using-parallelize-to-visualize-streamplot/3540>\
**Category:** Questions\
**Tags:** mathematica, equation-solving\
**Created:** [October 4, 2014, 3:34am UTC](https://community.wolfram.com/t/using-parallelize-to-visualize-streamplot/3540 "2014-10-04T03:34:58Z")\
**Posts on this page:** 2\
**Page:** 1

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**Author:** ![amzoti](https://avatars.discourse-cdn.com/v4/letter/a/82dd89/32.png) [@amzoti](https://community.wolfram.com/u/amzoti)\
**Post date:** [October 4, 2014, 3:34am UTC](https://community.wolfram.com/t/using-parallelize-to-visualize-streamplot/3540/1 "2014-10-04T03:34:58Z")

</div>

I am trying to figure out if multiple parameter system ODEs, can be modeled using [_Parallelize_](http://reference.wolfram.com/language/ref/Parallelize.html) and [_StreamPlot_](http://reference.wolfram.com/language/ref/StreamPlot.html).

For example, we have:

```
  Parallelize[
   Map[StreamPlot[#, {x, -3, 3}, {y, -3, 3}] &, 
    Flatten[Table[{x^i y^j, x^j y^i}, {i, 2}, {j, 2}], 1]]]

```

Is there a slick way to use this command to better visualize stream plots for a system like

dx/dt = (a-by)x \\ dy/dt = (cx-d)y

It has four parameters, so I was wondering if we can use parallelize to fix a parameter at a time and visually see a bunch of stream plots?

---

<div class="post-metadata">

**Author:** ![seanc](https://yyz1.discourse-cdn.com/wolfram/user_avatar/community.wolfram.com/seanc/32/34005_2.png) [@seanc](https://community.wolfram.com/u/seanc)\
**Post date:** [October 6, 2014, 3:19pm UTC](https://community.wolfram.com/t/using-parallelize-to-visualize-streamplot/3540/2 "2014-10-06T15:19:46Z")

</div>

Parallelize changes how the calculations are done internally. It doesn’t change how the results are represented. Parallelize won’t do anything to change or improve a visualization.

Are you looking to layer multiple plots on top of each other? This can be done with “Show”:

[reference.wolfram.com/language/ref/Show.html](http://reference.wolfram.com/language/ref/Show.html)

If you do want to layer multiple plots together, I would first making them separate colors so that the different layers can be distinguished.