The proper study of Dynamical Systems (DS) considers phenomenal dynamics, from which it is possible to reach an approximate description of its operation and an explanation for their behavior, often complex and unpredictable. Since the
last century it has been observed that self-organization and emergence were the most common processes used to characterize
DSs, especially in multi-agent systems applications. Nevertheless the importance of self-organization and emergence, those phenomena would not be enough to understand the DS adaptability, change and evolution of space-time. In this sense, this paper proposes a formal working notion of DS which included other phenomena related to balance and autonomy in DS. They are homeostasis and autopoiesis which act synergistically to produce emergency and self-organization. In this paper DS is described and supported on the basis of its Self-Organization, Emergence, Homeostasis and Autopoiesis (SEHA).