Understanding deterministic chaos has been the cornerstone of a wide range of fields, including physics, medicine, economics, and business. There are a wealth of everyday applications. Control systems in the real world have to deal with the underlying structure of the dynamics that govern how such systems naturally behave in the feedback loop.

There are a few different resources you can find that list practical applications of chaos theory. Here are a few that I found that I think you will find interesting:

* http://www.slideshare.net/anthaceorote/chaos-theory-an-intro...

* https://www.csuohio.edu/sciences/dept/physics/physicsweb/kau...

* [PDF] http://math.arizona.edu/~shankar/efa/efa4.pdf

And there's plenty more!