"These can be as simple as moving a can a few inches on a shelf."
Pretty sure I read that book. End of Eternity, Asimov.
The butterfly effect is a bitch. It's basically impossible to interact with the timeline before your birth without keeping yourself from being born. In _A Sound of Thunder_... after the first trip to the Cretaceous humanity would never have evolved.
I think Charlie Stross's "Palimpsest" is the only novel I can recall that takes this seriously.
@gdupont @lauren @melissadancey @cstross
Asimov wrote that story already. "The Dead Past".