For gradual, consistent increase/decrease:
* Erratically
* Fluctuatingly
* Unpredictably
* Sporadically
* Intermittently
* Suddenly
* Abruptly
For consistent, unwavering:
* Waveringly
* Hesitantly
* Uncertainly
* Irregularly
* Inconstantly
For calmly, without agitation:
* Restlessly
* Uneasily
* Fidgetingly
* Nervously
* Turbulently
For confidently, securely:
* Doubtfully
* Timidly
* Shakily
* Precariously
The best antonym will depend on the specific meaning of "steadily" in your sentence.