Dynamically Multivalued Self-Organisation and Probabilistic Structure Formation Processes

Andrei P. Kirilyuk

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Dynamically Multivalued Self-Organisation and Probabilistic Structure Formation Processes

Andrei P. Kirilyuk

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Abstract

The unreduced, universally nonperturbative analysis of arbitrary many-body interaction process reveals the irreducible, purely dynamic source of randomness. It leads to the universal definition of real system complexity (physics/9806002), where the internally chaotic self-organisation emerges as a limiting case of complex interaction dynamics (physics/0211071). It extends also the concept of "self-organised criticality" and corresponds to formation of distinct enough (but always internally chaotic) structures occurring if the system is far from characteristic frequency resonances. Transition to the opposite limiting regime of multivalued interaction dynamics, that of uniform (global) chaos, takes place around the main frequency resonance(s), which provides the absolutely universal criterion of global chaos onset, applicable to any kind of system, as well as the new, extended interpretation of the phenomenon of resonance itself. As a result, one obtains the causally complete description of world structure emergence and dynamics, from elementary particles to consciousness, including practically important and fundamentally substantiated propositions for self-organisation research and applications.

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Andrei P. Kirilyuk. 2004-05-13. Dynamically Multivalued Self-Organisation and Probabilistic Structure Formation Processes. https://arxiv.org/abs/physics/0405063

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