is closer to "to trace (a road, a wire, etc)" and it does not mean "to chase". is just a colloquial variation of .
and are _mostly_ interchangeable. The primary meaning of and is "to chase (a car, a dream, etc)" or "to follow (an interesting topic, a person that has gone to another country, etc)". Perhaps the biggest difference is the level of formality. In casual conversations is mainly used, while sounds more formal and/or literary. In addition, only means , "to drive (a herd of cattle, like a cowboy)".
**EDIT** : You may have seen this post, but I'm not really convinced by their explanation. In a drama, a senior police officer might say "()!" with great urgency and it sounds to me more formal and/or dignified than saying "!"