Post processing - image stabilisation I own a Panasonic HC-V130. Recently I've read an article about image stabilisation in a computing magazine. Can this be achieved without a special camera? 

I am using too much zoom to hold the camera still - causing the image to bounce up and down. Can I correct some of this shaking using software after? If possible can anyone suggest a few pieces of software that can achieve this - if possible a free one. 

I use windows 8.1 and Ubuntu 14.04 (Linux).
FFMpeg's vid.stab filter works well.  You have to run it as a 2-pass process: detect, and then stabilize.  If you're going to do more with the video later, after stabilizing, output to a lossless format and then point your other tools at that.