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={Andrei P. 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
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References

SHOWING 1-10 OF 26 REFERENCES
The Universal Dynamic Complexity as Extended Dynamic Fractality: Causally Complete Understanding of Living Systems Emergence and Operation
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 interactingExpand
Universal Symmetry of Complexity and Its Manifestations at Different Levels of World Dynamics
The unreduced, universally nonperturbative analysis of arbitrary interaction process, described by a quite general equation, provides the truly complete, “dynamically multivalued” general solutionExpand
Chaos and fractals - new frontiers of science
TLDR
This book discusses Fractal Image Compression, the Causality Principle, Deterministic Laws and Chaos, and the Backbone of Fractals. Expand
Dynamical properties of fractal networks: Scaling, numerical simulations, and physical realizations
This article describes the advances that have been made over the past ten years on the problem of fracton excitations in fractal structures. The relevant systems to this subject are so numerous thatExpand
Dynamically Multivalued Self-Organisation and Probabilistic Structure Formation Processes
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 ofExpand
Fractals in Biology and Medicine
TLDR
Fractal Landscapes in Physiology & Medicine: Long-Range Correlations in DNA Sequences and Heart Rate Intervals, and how it can be Tuned and Measured. Expand
Universal concept of complexity by the dynamic redundance paradigm: Causal randomness, complete wave mechanics, and the ultimate unification of knowledge
The fundamental impasses and ruptures in various domains of the canonical, unitary science, or the 'end of science', become the more and more evident. The natural unity of being is recovered within aExpand
Chaos and Fractals
My talk is a survey of the mathematical work done in our laboratory in the past 10 years. We are not mathematical biologists; rather, we work in mathematics, while maintaining a close relationshipExpand
Increasing biological complexity is positively correlated with the relative genome-wide expansion of non-protein-coding DNA sequences
TLDR
It is suggested that introns, intergenic sequences, repeat elements, and genomic DNA previously regarded as genetically inert may be far more important to the evolution and functional repertoire of complex organisms than has been previously appreciated. Expand
Dynamical Diffraction Theory by Optical Potential Methods
Publisher Summary In the past twenty years, there has been a renewed and steadily increasing interest in dynamical diffraction of X-rays and electrons, which is due partly to the availability ofExpand
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