If you're talking about physical movement:
* Moving
* Mobile
* Dynamic
* In motion
* Traveling
* Active
If you're talking about a job or position:
* Traveling
* Non-stationary
* Mobile
* Itinerant
If you're talking about a signal:
* Fluctuating
* Varying
* Changing
* Dynamic
To give you the most accurate opposite, please provide more context about what you mean by "stationary."