I am not sure what you are exactly looking after. A good starting point might be Freuds work "Hemmung, Symptom und Angst" (1926). There you get a theoretical overview over his concepts according fear, anxiety and avoidance.

I can certainly help you learn avoidance as I am an expert in avoidance and procrastination. :)

I'm sure you've read John Bowlby, the father of attachment theory.

I found this website, psychalive, that has articles describing anxious/avoidant attachment. http://www.psychalive.org/anxious-avoidant-attachment/

Another website, psychcentral.com has information on the attachment styles and ideas on how to change them.  The list a book: Mikulincer and Shaver, Attachment Adulthood Structure, Dynamics, and Change (2007) as a good resource.

The University of Illinois has an on-line article on the history of attachment research:

https://internal.psychology.illinois.edu/~rcfraley/attachment.htm

I would suggest the Psychoanalytic Electronic Publishing database.

http://www.pep-web.org/search.php?author=&title=&datetype=&startyear=&endyear=&journal=&language=&type=&citecount=&viewcount=&viewperiod=week&sort=author%2Ca&fulltext1=avoidant+attachment&zone1=paragraphs&fulltext2=&zone2=paragraphs

There are quite a lot of sources on attachment from psychoanalytic perspective. 

Avoidant behaviours my be a distorted product of curiosity. This is my idea. Lets think about that weather people (or animals) who lost their curiosity can attach  to anyone.or not. You can read  on K. Lorenz. There is strong relation between imprinting and attachment. 

Curiosity is an antidote of anxiety and avoidance. This idea may give you a new perspective.  

Avoidant attachment was what I was looking for. Avoidant behaviors being a distorted product of curiosity is what I would put under an attention deficit problem. I don't think we are discussing the same level of avoidance. I don't quite grasp at what you're showing here, I think in the population everyone can display behaviors of avoidance, however I asked about attachment and we are talking about something not completely; but different. 

Mr. Berksun I don't doubt that what you are talking about a great interest to study, it just wasn't what I'm looking for. I thank you for the reply!

I do work on this topic; the university of Illinois referenced above (Chris Fraley) are good resources. There are multiple measures of attachment available, but reading one of his article will point you to many resources.

Care must be exercised that children are variable in their needs for attachment  and interact with mothers

Comment to Oguz,

Curiosity may not counteract avoidant attachment styles; fear might be at play there too.