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

@article{Kirilyuk2005ComplexDynamicalEO, title={Complex-Dynamical Extension of the Fractal Paradigm and Its Applications in Life Sciences *}, author={A. Kirilyuk}, journal={arXiv: General Physics}, year={2005}, pages={233-244} }

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 functions of living systems, such as autonomous adaptability, “purposeful” development, intelligence and consciousness (at higher complexity… Expand

#### 21 Citations

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

- Physics, Computer Science
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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 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

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 Complexity of Autonomic Communication and Software Systems

- Computer Science
- Net-Con
- 2006

The applied generalised, universally nonperturbative method of effective potential reveals the phenomenon of dynamic multivaluedness of competing system configurations forced to permanently replace each other in a dynamically random order, which leads to universally defined dynamical chaos, complexity, fractality, self-organisation, and adaptability. 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

Unreduced Dynamic Complexity: Towards the Unified Science of Intelligent Communication Networks and Software

- Computer Science, Physics
- Net-Con
- 2005

Basic principles and first applications of the unified science of complex-dynamic communication networks and software are outlined to demonstrate its advantages and emerging practical perspectives. Expand

Unreduced Complex Dynamics of Real Computer and Control Systems

- Computer Science
- 2015 20th International Conference on Control Systems and Computer Science
- 2015

It is shown then how the obtained mathematically exact novelties of system behaviour can be applied to the development of qualitatively new, complex-dynamical kind of computer and control systems. Expand

Complex-Dynamical Approach to Cosmological Problem Solution *

- Physics
- 2005

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

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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