The following two different code snippets seem equivalent to me:
var myArray = Array();
myArray['A'] = "Athens";
myArray['B'] = "Berlin";
and
var myObject = {'A': 'Athens', 'B':'Berlin'};
because they both behave the same, and also typeof(myArray) == typeof(myObjects)
(both yield 'object').
Is there any difference between these variants?
Virtually everything in javascript is an object, so you can "abuse" an Array object by setting arbitrary properties on it. This should be considered harmful though. Arrays are for numerically indexed data - for non-numeric keys, use an Object.
Here's a more concrete example why non-numeric keys don't "fit" an Array:
var myArray = Array();
myArray['A'] = "Athens";
myArray['B'] = "Berlin";
alert(myArray.length);
This won't display '2', but '0' - effectively, no elements have been added to the array, just some new properties added to the array object.