Bees
A basic characteristic of a bee is its flight beyond its visual limit. It can fly some hundreds of meters from the beehive, while it can identify objects only withing a few meters distance. In consequence, the bee must navigate. Navigation means, in principle, the existence of a map, compass and of a dynamical system of finding the actual position on the map. If we can make only suppositions about the compass and the dynamical positioning system, as to the map, we find ourselves in the action zone of the theory. A map is an image model. The brain builds simplified models (maps) of the external reality, marking the position of the beehive and the position of the bee in flight and updating that all the time.
When a young bee comes out of the beehive, it will start flying around it, in wider and wider circles, but only on clear days. The explanation based on the theory is that, in this flight, the bee is calibrating its navigation system. This means that it calculates its position relative to the beehive and compares the prediction with external reality, as given by direct view. When the instruments of navigation are calibrated, it can fly beyond the limit of direct visibility, and return successfully based on the predictions of its map model.
Migratory birds
In the case of migratory birds, we have again a navigation problem. This time the flight is done at thousands of kilometers distance. It is clear that the migratory birds should have a map added to the navigation instruments. The birds should have in memory a successful story-type model (map) of the wanted route. The bird will compare the wanted position (given by the story-type model) with the real position. The real position could be found e.g. by following the magnetic field of the Earth, by observing the position of cosmic bodies (Sun, Moon, and stars). It is clear that any supplementary information is welcome and added to the story-type model, to sustain a successful operation. The navigation story-type model has been built based on a previous successful flight. A bird, which has not this model, could record it, if it is a member of a flock in which at least one bird has this model.
However, if a bird, which has not yet the navigation map, has technical problems in flight, it could be lost. Examples are known of migratory birds, which having technical flight-problems, were eventually taken into care by people. After healing, they did not want to leave anymore. The theory explains this by the fact that without a map and their position on the map, they don't know where to go. However, if they see a flock in flight, they might follow that flock.
There is a situation reported by the media, when a whole flock lost its navigation map and remained stranded. In this situation, a plane resembling a bird was used to guide the flock.
Cats
Cats can communicate to some extent with humans. Another characteristic is that a cat hardly adapts to an environment after getting used to another. A house cat is jumpy at sounds to which it should be familiar. When a cat is disturbed, it is very likely that PSM was activated.
At first sight, cats have a brain with a reduced capacity to build new models. At the same time, due to a weak instinct of defending its territory (some cats accept mice around them), one can suppose that the cat's model of the territory is very primitive. The most probable situation is that a cat can build new models only when very young. After some time it looses the capacity to build long-range models and uses mainly short-range models, guided by primitive long-range models and many solutions based on the action of PSM.