A recent study has shown that dogs see their owners as their parents and feel most secure when they are around them. In the study, puppies were divided into groups and observed in different situations. The results showed that the puppies who were closest to their parents (either human or canine) were more cheerful and playful than those who were separated from them.
This suggests that dogs have a "security area" and feel protected and happy when they are close to their parents. This behavior is similar to that of human children who feel more confident and safe when their parents are present. So, if you have a Chihuahua or a kitten, remember that to them, you are their world and all they have.