The function appears to be applying a Caesar cipher to the input string, shifting each alphabetical character by 2 positions forward (e.g., 'a' becomes 'c', 'b' becomes 'd', etc.). The function leaves the non-alphabetic characters (digits and special characters) unchanged.

[CODE]: Here's a Python implementation of the approximated function behavior.

```python
def caesar_cipher(s):
    result = ""
    for char in s:
        if char.isalpha():
            shift = 2
            new_char = chr(((ord(char) - ord('A') + shift) % 26) + ord('A'))
            result += new_char
        else:
            result += char
    return result
```