Andrei P. Kirilyuk

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This is a brief, non-technical presentation of the main results of a book with the same title in which a new, rigorously defined concept of dynamic complexity is introduced and it is shown that it gives the complete and absolutely universal description of both representative particular cases of complex dynamics and arbitrary dynamical system behaviour. This(More)
Complex-dynamical fractal is a hierarchy of permanently, chaotically changing versions of system structure, obtained as the unreduced, causally probabilistic general solution to an arbitrary interaction problem. Intrinsic creativity of this extension of usual fractality determines its exponentially high operation efficiency, which underlies many specific(More)
The unreduced, universally nonperturbative analysis of arbitrary interaction process, described by a quite general equation, provides the truly complete, “dynamically multivalued” general solution that leads to dynamically derived, universal definitions of randomness, probability, chaoticity, complexity, fractality, self-organisation, and other properties,(More)
As was shown previously (quant-ph/9902015), a simple system of interacting electromagnetic and gravitational protofields with generic parameters shows intrinsic instability with respect to unceasing cycles of physically real auto-squeeze (reduction) to a centre chosen by the system at random among many other, equally possible ones and the reverse extension,(More)
The unreduced description of any real system with interaction reveals natural emergence of multiple, incompatible system versions, or realisations, formed by dynamic entanglement of the interacting system components and forced to permanently replace each other in a causally random order, which permits one to define and calculate the a priori probabilities(More)
A system of two interacting, physically real, initially homogeneous fields is considered as the most elementary possible basis for the world construction in which one of them, a ‘protofield’ of electromagnetic nature, is attracted to another protofield, or medium, responsible for the eventually emerging gravitational effects. The interaction process is(More)
On 14 December 1900 Max Planck first formulated the idea of the intrinsic discreteness of energy of elementary solid-body oscillators and expressed the discrete energy portions, or quanta, as the product of the frequency of the emitted or absorbed radiation and a new universal constant, now known as Planck's constant. Despite the following spectacular(More)
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, where the internally chaotic self-organisation emerges as a characteristic case of complex interaction dynamics. One obtains the causally(More)
Operation of autonomic communication network with complicated user-oriented functions should be described as unreduced many-body interaction process. The latter gives rise to complex-dynamic behaviour including fractally structured hierarchy of chaotically changing realisations. We recall the main results of the universal science of complexity based on the(More)