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相关论文: Universal Concept of Complexity by the Dynamic Red…

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The universal concept of complexity by the dynamic redundance paradigm and the ensuing concept of extended dynamic fractality (physics/9806002) are applied here to higher levels of complexity corresponding to living systems. After recalling…

综合物理 · 物理学 2007-05-23 Andrei P. Kirilyuk

A major challenge of interdisciplinary description of complex system behaviour is whether real systems of higher complexity levels can be understood with at least the same degree of objective, "scientific" rigour and universality as…

综合物理 · 物理学 2014-05-27 Andrei P. Kirilyuk

The universal dynamic uncertainty, discovered in Parts I and II of this series of papers for the case of Hamiltonian quantum systems, is further specified to reveal the hierarchical structure of levels of dynamically redundant…

量子物理 · 物理学 2008-02-03 Andrei P. Kirilyuk

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,…

综合物理 · 物理学 2007-05-23 Andrei P. Kirilyuk

Any real interaction process produces many incompatible system versions, or realisations, giving rise to omnipresent dynamic randomness and universally defined complexity (arXiv:physics/9806002). Since quantum behaviour dynamically emerges…

综合物理 · 物理学 2014-01-30 Andrei P. Kirilyuk

The qualitatively new concept of dynamic complexity in quantum mechanics is based on a new paradigm appearing within a nonperturbational analysis of the Schroedinger equation for a generic Hamiltonian system. The unreduced analysis…

量子物理 · 物理学 2007-05-23 Andrei P. Kirilyuk

A quite general interaction process of a multi-component system is analysed by the extended effective potential method liberated from usual limitations of perturbation theory or integrable model. The obtained causally complete solution of…

综合物理 · 物理学 2014-04-18 Andrei P. Kirilyuk

The universal symmetry, or conservation, of complexity underlies any law or principle of system dynamics and describes the unceasing transformation of dynamic information into dynamic entropy as the unique way to conserve their sum, the…

综合物理 · 物理学 2014-05-15 Andrei P. Kirilyuk

The true dynamical randomness is obtained as a natural fundamental property of deterministic quantum systems. It provides quantum chaos passing to the classical dynamical chaos under the ordinary semiclassical transition, which extends the…

chao-dyn · 物理学 2008-02-03 Andrei P. Kirilyuk

The new, complex-dynamical mechanism of the universal gravitation naturally incorporating dynamical quantization, wave-particle duality, and relativity of physically emerging space and time (quant-ph/9902015,16) provides the realistic…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Andrei P. Kirilyuk

Two major deviations from causality in the existing formulations of quantum mechanics, related respectively to quantum chaos and indeterminate wave reduction, are eliminated within the new, universal concept of dynamic complexity. The…

量子物理 · 物理学 2008-02-03 Andrei P. Kirilyuk

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

综合物理 · 物理学 2007-05-23 Andrei P. Kirilyuk

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 origin of change (emergence), time and…

综合物理 · 物理学 2013-10-08 Andrei P. Kirilyuk

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

综合物理 · 物理学 2015-03-20 Andrei P. Kirilyuk

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

综合物理 · 物理学 2007-05-23 Andrei P. Kirilyuk

Complexity science offers a wide range of measures for quantifying unpredictability, structure, and information. Yet, a systematic conceptual organization of these measures is still missing. We present a unified framework that locates…

机器学习 · 计算机科学 2025-05-13 Nima Dehghani

Universal and rigorously derived concept of dynamic complexit (physics/9806002) shows that any system of interacting components, including society and civilisation, exists only as a process of highly inhomogeneous, qualitative development…

综合物理 · 物理学 2007-05-23 Andrei P. Kirilyuk

We present a theoretical framework that extends classical information theory to finite and structured systems by redefining redundancy as a fundamental property of information organization rather than inefficiency. In this framework,…

机器学习 · 计算机科学 2025-10-14 Yuda Bi , Ying Zhu , Vince D Calhoun

Operation of autonomic communication networks 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…

综合物理 · 物理学 2007-10-22 Andrei P. Kirilyuk

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),…

综合物理 · 物理学 2007-05-23 Andrei P. Kirilyuk
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