# Universal Symmetry of Complexity and Its Manifestations at Different Levels of World Dynamics

@inproceedings{Kirilyuk2003UniversalSO, title={Universal Symmetry of Complexity and Its Manifestations at Different Levels of World Dynamics}, author={A. Kirilyuk}, year={2003} }

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, extending their axiomatic introduction in the conventional, dynamically single-valued theory. Any real system emergence, structure, and… Expand

#### 22 Citations

Universal Science of Complexity: Consistent Understanding of Ecological, Living and Intelligent System Dynamics

- Physics, Computer Science
- 2007

Applications of universal concept of dynamic complexity are outlined emphasising cases of "truly complex" systems from higher complexity levels and show that the urgently needed progress in social and intellectual structure of civilisation inevitably involves qualitative transition to unreduced complexity understanding (the authors call it "revolution of complexity"). Expand

Complex-Dynamical Extension of the Fractal Paradigm and Its Applications in Life Sciences *

- Physics
- 2005

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… Expand

Complex Dynamics of Autonomous Communication Networks and the Intelligent Communication Paradigm

- Mathematics, Physics
- 2004

Dynamics of arbitrary communication system is analysed as unreduced interaction process. The applied generalised, universally nonperturbative method of effective potential reveals the phenomenon of… Expand

Complex-Dynamical Solution to Many-Body Interaction Problem and Its Applications in Fundamental Physics

- Physics
- 2012

We review the recently proposed unreduced, complex-dynamical solution to many-body problem with arbitrary interaction and its application to unified solution of fundamental problems, including… Expand

Cosmological Problem Solution by Complex-Dynamical Interaction Analysis

- Physics
- 2005

Universe structure emerges in the unreduced, complex-dynamical interaction process with the simplest initial configuration (two attracting homogeneous fields). The unreduced interaction analysis… Expand

New Mathematics of Complexity and Its Biomedical Applications

- Mathematics
- 2014

We show that the unreduced, mathematically rigorous solution of the many-body problem with arbitrary interaction, avoiding any perturbative approximations and “exact” models, reveals qualitatively… Expand

Dynamic Origin of Evolution and Social Transformation

- Mathematics, Physics
- 2012

We analyse the unreduced, nonperturbative dynamics of an arbitrary many-body interaction process with the help of the generalised effective potential method and reveal the well-specified universal… Expand

Complex-dynamic cosmology and emergent world structure

- Physics
- 2004

Universe structure emerges in the unreduced, complex-dynamic interaction process with the simplest initial configuration (two attracting homogeneous fields, quant-ph/9902015). The unreduced… Expand

Quantum Field Mechanics: Complex-Dynamical Completion of Fundamental Physics and Its Experimental Implications

- Physics
- 2004

This report provides a brief review of recently developed extended framework for fundamental physics, designated as Quantum Field Mechanics and including causally complete and intrinsically unified… Expand

Theory of Everything, Ultimate Reality and the End of Humanity: Extended Sustainability by the Universal Science of Complexity

- Computer Science
- 2017

The exciting, but rigorously substantiated and objectively inevitable prospects of further civilisation complexity development towards its superior levels of genuine sustainability and global Noosphere are outlined, with practically important conclusions for today's critical problem solution. Expand

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