In the referenceI read:
Lastly, it is important to realize that all Angular services are application singletons. This means that there is only one instance of a given service per injector.
but with this simple code seems not to be a singleton
'use strict';
            angular.module('animal', [])
                .factory('Animal',function(){
                    return function(vocalization){
                        return {
                            vocalization:vocalization,
                            vocalize : function () {
                                console.log('vocalize: ' + this.vocalization);
                            }
                        }
                    }
                });    
                angular.module('app', ['animal'])
                    .factory('Dog', function (Animal) {
                        return Animal('bark bark!');
                    })
                    .factory('Cat', function (Animal) {
                        return Animal('meeeooooow');
                    })
                .controller('MainCtrl',function($scope,Cat,Dog){
                     $scope.cat = Cat;
                     $scope.dog = Dog;
                     console.log($scope.cat);
                     console.log($scope.dog);
                    //$scope.cat = Cat;
                });
I'm a little confused can you explain me what's the matter ?
UPDATE 1 May be I'm not the sharpest tool in the shed but afer the @Khanh TO reply it would be a better explanation in the reference it's not very clear.
UPDATE 2
'use strict';
            angular.module('animal', [])
                .factory('Animal',function(){
                        return {
                            vocalization:'',
                            vocalize : function () {
                                console.log('vocalize: ' + this.vocalization);
                            }
                        }
                });
                angular.module('dog', ['animal'])
                    .factory('Dog', function (Animal) {
                        Animal.vocalization = 'bark bark!';
                        Animal.color = 'red';
                        return Animal;
                    });
                angular.module('cat', ['animal'])
                   .factory('Cat', function (Animal) {
                        Animal.vocalization = 'meowwww';
                        Animal.color = 'white';
                        return Animal;
                    });
                 angular.module('app', ['dog','cat'])
                .controller('MainCtrl',function($scope,Cat,Dog){
                     $scope.cat = Cat;
                     $scope.dog = Dog;
                     console.log($scope.cat);
                     console.log($scope.dog);
                    //$scope.cat = Cat;
                });
BOOM it's a singleton !
UPDATE 3
But if you do like
'use strict';
            angular.module('animal', [])
                .factory('Animal',function(){
                    return function(vocalization){
                        return {
                            vocalization:vocalization,
                            vocalize : function () {
                                console.log('vocalize: ' + this.vocalization);
                            }
                        }
                    }
                });    
                angular.module('app', ['animal'])
                    .factory('Dog', function (Animal) {
                        function ngDog(){
                            this.prop = 'my prop 1';
                            this.myMethod = function(){
                                console.log('test 1');
                            }
                        }
                        return angular.extend(Animal('bark bark!'), new ngDog());
                    })
                    .factory('Cat', function (Animal) {
                        function ngCat(){
                            this.prop = 'my prop 2';
                            this.myMethod = function(){
                                console.log('test 2');
                            }
                        }
                        return angular.extend(Animal('meooow'), new ngCat());
                    })
                .controller('MainCtrl',function($scope,Cat,Dog){
                     $scope.cat = Cat;
                     $scope.dog = Dog;
                     console.log($scope.cat);
                     console.log($scope.dog);
                    //$scope.cat = Cat;
                });
it works
 
     
     
     
    


 
     
    