The difference between dynamic and static wrinkles essentially comes down to whether they appear for a moment or last over time.
Dynamic Wrinkles
Dynamic wrinkles are creases that show when you are making facial expressions like smiling, laughing or frowning, but then disappear shortly after.
Static Wrinkles
Static wrinkles are lines that are visible even when you are not making expressions. Over time, dynamic wrinkles often become static wrinkles.