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Related papers: The Universal Dynamic Complexity as Extended Dynam…

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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 a universal nonperturbative method leading…

General Physics · Physics 2007-05-23 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,…

General Physics · Physics 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…

General Physics · Physics 2014-05-27 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…

General Physics · Physics 2014-05-15 Andrei P. Kirilyuk

Complex-dynamical fractal is a hierarchy of permanently, chaotically changing versions of system structure, obtained as the unreduced, causally probabilistic general solution of arbitrary interaction problem (physics/0305119,…

General Physics · Physics 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…

General Physics · Physics 2014-04-18 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…

Quantum Physics · Physics 2008-02-03 Andrei P. Kirilyuk

A universal framework is proposed, where all laws are regularities of relations between things or agents. Parts of the world at one or all times are modeled as networks called SYSTEMS with a minimum of axiomatic properties. A notion of…

High Energy Physics - Theory · Physics 2009-10-31 Gerhard Mack

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…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk

Herein we consider various concepts of entropy as measures of the complexity of phenomena and in so doing encounter a fundamental problem in physics that affects how we understand the nature of reality. In essence the difficulty has to do…

Statistical Mechanics · Physics 2007-05-23 Paolo Allegrini , Martina Giuntoli , Paolo Grigolini , Bruce J. West

Aging is a fundamental aspect of living systems that undergo a progressive deterioration of physiological function with age and an increase of vulnerability to disease and death. Living systems, known as complex systems, require complexity…

Populations and Evolution · Quantitative Biology 2010-11-15 Byung Mook Weon , Jung Ho Je

The evolution of complexity has been a central theme for Biology [2] and Artificial Life research [1]. It is generally agreed that complexity has increased in our universe, giving way to life, multi-cellularity, societies, and systems of…

Populations and Evolution · Quantitative Biology 2011-09-06 Carlos Gershenson , Tom Lenaerts

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…

General Relativity and Quantum Cosmology · Physics 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…

General Physics · Physics 2013-10-08 Andrei P. Kirilyuk

Even when concepts similar to emergence have been used since antiquity, we lack an agreed definition. However, emergence has been identified as one of the main features of complex systems. Most would agree on the statement ``life is…

General Physics · Physics 2025-12-22 Carlos Gershenson

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…

General Physics · Physics 2007-05-23 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…

Quantum Physics · Physics 2007-05-23 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…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk

Entropy always increases monotonically in a closed system but complexity increases at first and then decreases as equilibrium is approached. Commonsense information-related definitions for entropy and complexity demonstrate that complexity…

Physics and Society · Physics 2025-03-26 Theodore Modis

We define the notion of localizable property for a dynamical system. Then we survey three properties of complexity and relate how they are known to be typical among differentiable dynamical systems. These notions are the fast growth of the…

Dynamical Systems · Mathematics 2020-04-22 Pierre Berger
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