Minimalism is about only the most necessary elements, and just as you find minimalist principles in art, music and literature, so too, you will find it on a logo design.
The idea is to strip away as much clutter as possible. Good use of minimal styling can go a long way toward creating a strong visual impression through a powerful statement.
Therefore, minimalistic logos can be easier for your customers to remember.
While logo design trends will change, minimalist design is not likely to look outdated for quite a long time.