Abstract
The “Complex Dynamical Systems” are systems with unexpected emerging properties which are the result of synergetic processes of their components. These systems appear in condensed matter physics and chemistry, as well as, playing a fundamental role, in biological systems. They require a theoretical treatment in terms of “Mathematical Modelling”, with statistical formalisms being of large relevance. We present here a feature-like article describing and discussing the question. Particular attention has been done on the basis of Information Theory in a Shannon-Jaynes approach in the spirit of Jeffreys' scientific inference proposal. It is emphasized the difficult question of presence of “hidden constraints”, and the introduction of nonstandard statistics arising in the realm of “Information Theory”.
Keywords:
statistical approach; nonstandard statistics; information theory