homeostatic and hormonal states) heavily influences the higher 'cognitive' processes in the brain, presumably via the emotional system (see e.g. Antonio Damasio's theory of somatic markers).
To put it simply: the state of your body is a direct factor of importance on the kinds of cognitive processes that may arise in the higher parts of your brain.
In contrast, EEC holds that the actual physical processes in body and in body-world interaction partly constitute whatever it is that we call 'the cognitive system' as a whole.
Dynamical Systems Theory is a way of modeling behaviour that teams up quite naturally with the theoretical concepts of EEC.
The theory of practopoiesis describes the rules adaptive systems need to obey if they are to successfully implement embodied and embedded cognition.